input stringlengths 13 66 | output stringlengths 30 276 |
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Find x and y such that
6x + 8y = -224/5
4x + 7y = -171/5 | 6x + 8y = -224/5
4x + 7y = -171/5
Using elimination
4*(6x + 8y = -224/5)
6*(4x + 7y = -171/5)
24x + 32y = -896/5
24x + 42y = -1026/5
Subtract equations
-10y = 26
y = 26/-10
y = -13/5
Substitute y
6x + 8(-13/5) = -224/5
6x = -24
x = -24/6
x = -4 |
Compute the solution of x^3 - 139/42x^2 - 1811/42x - 510/7 = 0 | x^3 - 139/42x^2 - 1811/42x - 510/7 = 0
(x - 9)(x - -17/6)(x - -20/7) = 0
x - 9 = 0
x - -17/6 = 0
x - -20/7 = 0
x = 9
x = -17/6
x = -20/7 |
Determine x in x^2 - 128/7x + 36/7 = 0 | x^2 - 128/7x + 36/7 = 0
(x - 2/7)(x - 18) = 0
x - 2/7 = 0 or x - 18 = 0
x = 2/7
x = 18 |
Find x and y such that
7x + 4y = 148/5
4x + 1y = 46/5 | 7x + 4y = 148/5
4x + 1y = 46/5
Using elimination
4*(7x + 4y = 148/5)
7*(4x + 1y = 46/5)
28x + 16y = 592/5
28x + 7y = 322/5
Subtract equations
9y = 54
y = 54/9
y = 6
Substitute y
7x + 4(6) = 148/5
7x = 28/5
x = 28/5/7
x = 4/5 |
Solve simultaneously:
8x + 8y = -52/3
2x + 3y = -4 | 8x + 8y = -52/3
2x + 3y = -4
Using elimination
2*(8x + 8y = -52/3)
8*(2x + 3y = -4)
16x + 16y = -104/3
16x + 24y = -32
Subtract equations
-8y = -8/3
y = -8/3/-8
y = 1/3
Substitute y
8x + 8(1/3) = -52/3
8x = -20
x = -20/8
x = -5/2 |
Find the solution to 9x + 54 = 0 | 9x + 54 = 0
9x = -54
x = -54 / 9
x = -6 |
Determine x in 3x + 9/5 = 0 | 3x + 9/5 = 0
3x = -9/5
x = -9/5 / 3
x = -3/5 |
Solve the equations:
2x + 9y = 49/2
5x + 5y = 35/4 | 2x + 9y = 49/2
5x + 5y = 35/4
Using elimination
5*(2x + 9y = 49/2)
2*(5x + 5y = 35/4)
10x + 45y = 245/2
10x + 10y = 35/2
Subtract equations
35y = 105
y = 105/35
y = 3
Substitute y
2x + 9(3) = 49/2
2x = -5/2
x = -5/2/2
x = -5/4 |
Solve quickly: 7x + 49/2 = 0 | 7x + 49/2 = 0
7x = -49/2
x = -49/2 / 7
x = -7/2 |
Find the solution to x^2 - 109/36x + 20/9 = 0 | x^2 - 109/36x + 20/9 = 0
(x - 5/4)(x - 16/9) = 0
x - 5/4 = 0 or x - 16/9 = 0
x = 5/4
x = 16/9 |
Find x for 9x - 90/7 = 0 | 9x - 90/7 = 0
9x = 90/7
x = 90/7 / 9
x = 10/7 |
Solve the system:
3x + 3y = -621/35
8x + 10y = -1846/35 | 3x + 3y = -621/35
8x + 10y = -1846/35
Using elimination
8*(3x + 3y = -621/35)
3*(8x + 10y = -1846/35)
24x + 24y = -4968/35
24x + 30y = -5538/35
Subtract equations
-6y = 114/7
y = 114/7/-6
y = -19/7
Substitute y
3x + 3(-19/7) = -621/35
3x = -48/5
x = -48/5/3
x = -16/5 |
Find x and y such that
4x + 6y = 0
5x + 9y = 3/7 | 4x + 6y = 0
5x + 9y = 3/7
Using elimination
5*(4x + 6y = 0)
4*(5x + 9y = 3/7)
20x + 30y = 0
20x + 36y = 12/7
Subtract equations
-6y = -12/7
y = -12/7/-6
y = 2/7
Substitute y
4x + 6(2/7) = 0
4x = -12/7
x = -12/7/4
x = -3/7 |
Find the solution to x^3 - 144/35x^2 + 629/175x + 156/175 = 0 | x^3 - 144/35x^2 + 629/175x + 156/175 = 0
(x - 13/5)(x - 12/7)(x - -1/5) = 0
x - 13/5 = 0
x - 12/7 = 0
x - -1/5 = 0
x = 13/5
x = 12/7
x = -1/5 |
Solve simultaneously:
8x + 6y = -28
3x + 9y = -87/4 | 8x + 6y = -28
3x + 9y = -87/4
Using elimination
3*(8x + 6y = -28)
8*(3x + 9y = -87/4)
24x + 18y = -84
24x + 72y = -174
Subtract equations
-54y = 90
y = 90/-54
y = -5/3
Substitute y
8x + 6(-5/3) = -28
8x = -18
x = -18/8
x = -9/4 |
Find x and y such that
2x + 5y = 118/3
5x + 4y = 125/3 | 2x + 5y = 118/3
5x + 4y = 125/3
Using elimination
5*(2x + 5y = 118/3)
2*(5x + 4y = 125/3)
10x + 25y = 590/3
10x + 8y = 250/3
Subtract equations
17y = 340/3
y = 340/3/17
y = 20/3
Substitute y
2x + 5(20/3) = 118/3
2x = 6
x = 6/2
x = 3 |
Find x for x^3 + 124/7x^2 + 73/7x - 204/7 = 0 | x^3 + 124/7x^2 + 73/7x - 204/7 = 0
(x - -17)(x - 1)(x - -12/7) = 0
x - -17 = 0
x - 1 = 0
x - -12/7 = 0
x = -17
x = 1
x = -12/7 |
Determine x in x^2 - 31/6x - 133/18 = 0 | x^2 - 31/6x - 133/18 = 0
(x - 19/3)(x - -7/6) = 0
x - 19/3 = 0 or x - -7/6 = 0
x = 19/3
x = -7/6 |
Solve 6x - 20 = 0 | 6x - 20 = 0
6x = 20
x = 20 / 6
x = 10/3 |
Determine x in x^3 - 12/5x^2 + 3/4x + 1/10 = 0 | x^3 - 12/5x^2 + 3/4x + 1/10 = 0
(x - 1/2)(x - 2)(x - -1/10) = 0
x - 1/2 = 0
x - 2 = 0
x - -1/10 = 0
x = 1/2
x = 2
x = -1/10 |
Determine x in x^2 + 7/4x - 15/2 = 0 | x^2 + 7/4x - 15/2 = 0
(x - -15/4)(x - 2) = 0
x - -15/4 = 0 or x - 2 = 0
x = -15/4
x = 2 |
Solve the equations:
4x + 2y = -344/21
5x + 6y = -274/7 | 4x + 2y = -344/21
5x + 6y = -274/7
Using elimination
5*(4x + 2y = -344/21)
4*(5x + 6y = -274/7)
20x + 10y = -1720/21
20x + 24y = -1096/7
Subtract equations
-14y = 224/3
y = 224/3/-14
y = -16/3
Substitute y
4x + 2(-16/3) = -344/21
4x = -40/7
x = -40/7/4
x = -10/7 |
What value of x satisfies 7x + 35/4 = 0 | 7x + 35/4 = 0
7x = -35/4
x = -35/4 / 7
x = -5/4 |
Compute the solution of x^3 - 217/40x^2 - 1239/40x - 54/5 = 0 | x^3 - 217/40x^2 - 1239/40x - 54/5 = 0
(x - -3/8)(x - 9)(x - -16/5) = 0
x - -3/8 = 0
x - 9 = 0
x - -16/5 = 0
x = -3/8
x = 9
x = -16/5 |
Find x for x^2 - 14/3x - 32/9 = 0 | x^2 - 14/3x - 32/9 = 0
(x - 16/3)(x - -2/3) = 0
x - 16/3 = 0 or x - -2/3 = 0
x = 16/3
x = -2/3 |
Find x for 3x - 3/2 = 0 | 3x - 3/2 = 0
3x = 3/2
x = 3/2 / 3
x = 1/2 |
Find the solution to x^3 - 64/3x^2 + 73/3x + 140/3 = 0 | x^3 - 64/3x^2 + 73/3x + 140/3 = 0
(x - 20)(x - 7/3)(x - -1) = 0
x - 20 = 0
x - 7/3 = 0
x - -1 = 0
x = 20
x = 7/3
x = -1 |
Solve the equation x^3 - 349/40x^2 - 243/80x + 81/16 = 0 | x^3 - 349/40x^2 - 243/80x + 81/16 = 0
(x - 9)(x - -9/10)(x - 5/8) = 0
x - 9 = 0
x - -9/10 = 0
x - 5/8 = 0
x = 9
x = -9/10
x = 5/8 |
Solve simultaneously:
9x + 7y = -173/4
1x + 4y = -45/4 | 9x + 7y = -173/4
1x + 4y = -45/4
Using elimination
1*(9x + 7y = -173/4)
9*(1x + 4y = -45/4)
9x + 7y = -173/4
9x + 36y = -405/4
Subtract equations
-29y = 58
y = 58/-29
y = -2
Substitute y
9x + 7(-2) = -173/4
9x = -117/4
x = -117/4/9
x = -13/4 |
What value of x satisfies 4x + 13/2 = 0 | 4x + 13/2 = 0
4x = -13/2
x = -13/2 / 4
x = -13/8 |
Solve the system:
8x + 3y = 150
7x + 6y = 129 | 8x + 3y = 150
7x + 6y = 129
Using elimination
7*(8x + 3y = 150)
8*(7x + 6y = 129)
56x + 21y = 1050
56x + 48y = 1032
Subtract equations
-27y = 18
y = 18/-27
y = -2/3
Substitute y
8x + 3(-2/3) = 150
8x = 152
x = 152/8
x = 19 |
Find x for x^2 + 129/35x + 34/35 = 0 | x^2 + 129/35x + 34/35 = 0
(x - -2/7)(x - -17/5) = 0
x - -2/7 = 0 or x - -17/5 = 0
x = -2/7
x = -17/5 |
Solve the equations:
3x + 2y = -109/18
3x + 1y = -77/18 | 3x + 2y = -109/18
3x + 1y = -77/18
Using elimination
3*(3x + 2y = -109/18)
3*(3x + 1y = -77/18)
9x + 6y = -109/6
9x + 3y = -77/6
Subtract equations
3y = -16/3
y = -16/3/3
y = -16/9
Substitute y
3x + 2(-16/9) = -109/18
3x = -5/2
x = -5/2/3
x = -5/6 |
Solve the equations:
8x + 8y = -108/5
10x + 6y = -23 | 8x + 8y = -108/5
10x + 6y = -23
Using elimination
10*(8x + 8y = -108/5)
8*(10x + 6y = -23)
80x + 80y = -216
80x + 48y = -184
Subtract equations
32y = -32
y = -32/32
y = -1
Substitute y
8x + 8(-1) = -108/5
8x = -68/5
x = -68/5/8
x = -17/10 |
Solve the equations:
9x + 5y = -53
1x + 10y = -59/2 | 9x + 5y = -53
1x + 10y = -59/2
Using elimination
1*(9x + 5y = -53)
9*(1x + 10y = -59/2)
9x + 5y = -53
9x + 90y = -531/2
Subtract equations
-85y = 425/2
y = 425/2/-85
y = -5/2
Substitute y
9x + 5(-5/2) = -53
9x = -81/2
x = -81/2/9
x = -9/2 |
Solve the equation x^2 + 19/18x - 65/18 = 0 | x^2 + 19/18x - 65/18 = 0
(x - 13/9)(x - -5/2) = 0
x - 13/9 = 0 or x - -5/2 = 0
x = 13/9
x = -5/2 |
Solve the equations:
6x + 5y = 125/8
10x + 5y = 205/8 | 6x + 5y = 125/8
10x + 5y = 205/8
Using elimination
10*(6x + 5y = 125/8)
6*(10x + 5y = 205/8)
60x + 50y = 625/4
60x + 30y = 615/4
Subtract equations
20y = 5/2
y = 5/2/20
y = 1/8
Substitute y
6x + 5(1/8) = 125/8
6x = 15
x = 15/6
x = 5/2 |
Compute the solution of x^2 + 112/9x + 16/3 = 0 | x^2 + 112/9x + 16/3 = 0
(x - -4/9)(x - -12) = 0
x - -4/9 = 0 or x - -12 = 0
x = -4/9
x = -12 |
Compute the solution of x^3 + 2x^2 - 1x - 2 = 0 | x^3 + 2x^2 - 1x - 2 = 0
(x - 1)(x - -1)(x - -2) = 0
x - 1 = 0
x - -1 = 0
x - -2 = 0
x = 1
x = -1
x = -2 |
Find x in 1x - 5/3 = 0 | 1x - 5/3 = 0
1x = 5/3
x = 5/3 / 1
x = 5/3 |
Determine x in x^2 - 59/42x + 10/21 = 0 | x^2 - 59/42x + 10/21 = 0
(x - 5/6)(x - 4/7) = 0
x - 5/6 = 0 or x - 4/7 = 0
x = 5/6
x = 4/7 |
Determine x in x^2 + 17/14x + 5/14 = 0 | x^2 + 17/14x + 5/14 = 0
(x - -1/2)(x - -5/7) = 0
x - -1/2 = 0 or x - -5/7 = 0
x = -1/2
x = -5/7 |
Determine x in 6x + 27/5 = 0 | 6x + 27/5 = 0
6x = -27/5
x = -27/5 / 6
x = -9/10 |
What value of x satisfies 10x - 5 = 0 | 10x - 5 = 0
10x = 5
x = 5 / 10
x = 1/2 |
Find x in 9x - 30 = 0 | 9x - 30 = 0
9x = 30
x = 30 / 9
x = 10/3 |
Find x in x^2 - 23/10x + 6/5 = 0 | x^2 - 23/10x + 6/5 = 0
(x - 4/5)(x - 3/2) = 0
x - 4/5 = 0 or x - 3/2 = 0
x = 4/5
x = 3/2 |
Find x and y such that
5x + 5y = -40/3
3x + 2y = -12 | 5x + 5y = -40/3
3x + 2y = -12
Using elimination
3*(5x + 5y = -40/3)
5*(3x + 2y = -12)
15x + 15y = -40
15x + 10y = -60
Subtract equations
5y = 20
y = 20/5
y = 4
Substitute y
5x + 5(4) = -40/3
5x = -100/3
x = -100/3/5
x = -20/3 |
Determine x in 5x - 6 = 0 | 5x - 6 = 0
5x = 6
x = 6 / 5
x = 6/5 |
Determine x in x^2 + 20x + 36 = 0 | x^2 + 20x + 36 = 0
(x - -2)(x - -18) = 0
x - -2 = 0 or x - -18 = 0
x = -2
x = -18 |
Determine x in x^2 + 2x = 0 | x^2 + 2x = 0
(x - -2)(x - 0) = 0
x - -2 = 0 or x - 0 = 0
x = -2
x = 0 |
Solve simultaneously:
4x + 5y = -95/18
3x + 1y = -175/72 | 4x + 5y = -95/18
3x + 1y = -175/72
Using elimination
3*(4x + 5y = -95/18)
4*(3x + 1y = -175/72)
12x + 15y = -95/6
12x + 4y = -175/18
Subtract equations
11y = -55/9
y = -55/9/11
y = -5/9
Substitute y
4x + 5(-5/9) = -95/18
4x = -5/2
x = -5/2/4
x = -5/8 |
What value of x satisfies 1x - 1/5 = 0 | 1x - 1/5 = 0
1x = 1/5
x = 1/5 / 1
x = 1/5 |
What value of x satisfies 7x - 12 = 0 | 7x - 12 = 0
7x = 12
x = 12 / 7
x = 12/7 |
Solve x^3 + 16/3x^2 - 251x + 494/3 = 0 | x^3 + 16/3x^2 - 251x + 494/3 = 0
(x - 2/3)(x - -19)(x - 13) = 0
x - 2/3 = 0
x - -19 = 0
x - 13 = 0
x = 2/3
x = -19
x = 13 |
Solve the system:
8x + 5y = -231/2
9x + 1y = -283/2 | 8x + 5y = -231/2
9x + 1y = -283/2
Using elimination
9*(8x + 5y = -231/2)
8*(9x + 1y = -283/2)
72x + 45y = -2079/2
72x + 8y = -1132
Subtract equations
37y = 185/2
y = 185/2/37
y = 5/2
Substitute y
8x + 5(5/2) = -231/2
8x = -128
x = -128/8
x = -16 |
Find the solution to x^3 + 59/14x^2 + 342/175x - 162/175 = 0 | x^3 + 59/14x^2 + 342/175x - 162/175 = 0
(x - -18/5)(x - 2/7)(x - -9/10) = 0
x - -18/5 = 0
x - 2/7 = 0
x - -9/10 = 0
x = -18/5
x = 2/7
x = -9/10 |
Find x for x^3 - 23/10x^2 + 1/5x + 4/5 = 0 | x^3 - 23/10x^2 + 1/5x + 4/5 = 0
(x - -1/2)(x - 2)(x - 4/5) = 0
x - -1/2 = 0
x - 2 = 0
x - 4/5 = 0
x = -1/2
x = 2
x = 4/5 |
What value of x satisfies x^3 - 33/14x^2 - 151/7x + 585/14 = 0 | x^3 - 33/14x^2 - 151/7x + 585/14 = 0
(x - 5)(x - -9/2)(x - 13/7) = 0
x - 5 = 0
x - -9/2 = 0
x - 13/7 = 0
x = 5
x = -9/2
x = 13/7 |
Compute the solution of 5x - 5 = 0 | 5x - 5 = 0
5x = 5
x = 5 / 5
x = 1 |
Determine x in x^2 + 2x - 3 = 0 | x^2 + 2x - 3 = 0
(x - 1)(x - -3) = 0
x - 1 = 0 or x - -3 = 0
x = 1
x = -3 |
What value of x satisfies x^3 + 4/7x^2 - 36/7x = 0 | x^3 + 4/7x^2 - 36/7x = 0
(x - 0)(x - 2)(x - -18/7) = 0
x - 0 = 0
x - 2 = 0
x - -18/7 = 0
x = 0
x = 2
x = -18/7 |
Find the solution to 8x - 12/5 = 0 | 8x - 12/5 = 0
8x = 12/5
x = 12/5 / 8
x = 3/10 |
What value of x satisfies x^3 + 17/18x^2 - 178/27x + 38/27 = 0 | x^3 + 17/18x^2 - 178/27x + 38/27 = 0
(x - 2/9)(x - 2)(x - -19/6) = 0
x - 2/9 = 0
x - 2 = 0
x - -19/6 = 0
x = 2/9
x = 2
x = -19/6 |
Solve the system:
10x + 7y = 26
8x + 10y = 216/7 | 10x + 7y = 26
8x + 10y = 216/7
Using elimination
8*(10x + 7y = 26)
10*(8x + 10y = 216/7)
80x + 56y = 208
80x + 100y = 2160/7
Subtract equations
-44y = -704/7
y = -704/7/-44
y = 16/7
Substitute y
10x + 7(16/7) = 26
10x = 10
x = 10/10
x = 1 |
Solve the system:
1x + 2y = -63/8
3x + 9y = -291/8 | 1x + 2y = -63/8
3x + 9y = -291/8
Using elimination
3*(1x + 2y = -63/8)
1*(3x + 9y = -291/8)
3x + 6y = -189/8
3x + 9y = -291/8
Subtract equations
-3y = 51/4
y = 51/4/-3
y = -17/4
Substitute y
1x + 2(-17/4) = -63/8
1x = 5/8
x = 5/8/1
x = 5/8 |
Solve the equations:
2x + 1y = -23/12
8x + 2y = -1/3 | 2x + 1y = -23/12
8x + 2y = -1/3
Using elimination
8*(2x + 1y = -23/12)
2*(8x + 2y = -1/3)
16x + 8y = -46/3
16x + 4y = -2/3
Subtract equations
4y = -44/3
y = -44/3/4
y = -11/3
Substitute y
2x + 1(-11/3) = -23/12
2x = 7/4
x = 7/4/2
x = 7/8 |
Solve the system:
10x + 4y = -343/15
4x + 8y = 74/15 | 10x + 4y = -343/15
4x + 8y = 74/15
Using elimination
4*(10x + 4y = -343/15)
10*(4x + 8y = 74/15)
40x + 16y = -1372/15
40x + 80y = 148/3
Subtract equations
-64y = -704/5
y = -704/5/-64
y = 11/5
Substitute y
10x + 4(11/5) = -343/15
10x = -95/3
x = -95/3/10
x = -19/6 |
Solve x^3 + 11/4x^2 - 123/2x - 189/4 = 0 | x^3 + 11/4x^2 - 123/2x - 189/4 = 0
(x - -9)(x - 7)(x - -3/4) = 0
x - -9 = 0
x - 7 = 0
x - -3/4 = 0
x = -9
x = 7
x = -3/4 |
Solve x^2 + 80/9x - 1 = 0 | x^2 + 80/9x - 1 = 0
(x - -9)(x - 1/9) = 0
x - -9 = 0 or x - 1/9 = 0
x = -9
x = 1/9 |
Find the solution to x^2 + 16/9x - 4/9 = 0 | x^2 + 16/9x - 4/9 = 0
(x - 2/9)(x - -2) = 0
x - 2/9 = 0 or x - -2 = 0
x = 2/9
x = -2 |
Solve quickly: 9x + 9 = 0 | 9x + 9 = 0
9x = -9
x = -9 / 9
x = -1 |
Solve the equation 1x - 11/5 = 0 | 1x - 11/5 = 0
1x = 11/5
x = 11/5 / 1
x = 11/5 |
Solve the equation x^2 + 1/24x - 11/6 = 0 | x^2 + 1/24x - 11/6 = 0
(x - 4/3)(x - -11/8) = 0
x - 4/3 = 0 or x - -11/8 = 0
x = 4/3
x = -11/8 |
Solve the equations:
4x + 5y = -53/12
10x + 9y = -185/12 | 4x + 5y = -53/12
10x + 9y = -185/12
Using elimination
10*(4x + 5y = -53/12)
4*(10x + 9y = -185/12)
40x + 50y = -265/6
40x + 36y = -185/3
Subtract equations
14y = 35/2
y = 35/2/14
y = 5/4
Substitute y
4x + 5(5/4) = -53/12
4x = -32/3
x = -32/3/4
x = -8/3 |
Find x in x^3 + 189/10x^2 + 321/10x - 17/5 = 0 | x^3 + 189/10x^2 + 321/10x - 17/5 = 0
(x - -2)(x - -17)(x - 1/10) = 0
x - -2 = 0
x - -17 = 0
x - 1/10 = 0
x = -2
x = -17
x = 1/10 |
Solve 4x + 24/5 = 0 | 4x + 24/5 = 0
4x = -24/5
x = -24/5 / 4
x = -6/5 |
Solve the equations:
9x + 5y = -265/6
10x + 5y = -305/6 | 9x + 5y = -265/6
10x + 5y = -305/6
Using elimination
10*(9x + 5y = -265/6)
9*(10x + 5y = -305/6)
90x + 50y = -1325/3
90x + 45y = -915/2
Subtract equations
5y = 95/6
y = 95/6/5
y = 19/6
Substitute y
9x + 5(19/6) = -265/6
9x = -60
x = -60/9
x = -20/3 |
Solve the system:
9x + 4y = 353/8
8x + 5y = 58 | 9x + 4y = 353/8
8x + 5y = 58
Using elimination
8*(9x + 4y = 353/8)
9*(8x + 5y = 58)
72x + 32y = 353
72x + 45y = 522
Subtract equations
-13y = -169
y = -169/-13
y = 13
Substitute y
9x + 4(13) = 353/8
9x = -63/8
x = -63/8/9
x = -7/8 |
Find x in x^3 - 41/24x^2 + 59/96x - 5/96 = 0 | x^3 - 41/24x^2 + 59/96x - 5/96 = 0
(x - 5/4)(x - 1/3)(x - 1/8) = 0
x - 5/4 = 0
x - 1/3 = 0
x - 1/8 = 0
x = 5/4
x = 1/3
x = 1/8 |
Solve simultaneously:
9x + 1y = -221/4
10x + 5y = -515/12 | 9x + 1y = -221/4
10x + 5y = -515/12
Using elimination
10*(9x + 1y = -221/4)
9*(10x + 5y = -515/12)
90x + 10y = -1105/2
90x + 45y = -1545/4
Subtract equations
-35y = -665/4
y = -665/4/-35
y = 19/4
Substitute y
9x + 1(19/4) = -221/4
9x = -60
x = -60/9
x = -20/3 |
Solve x^2 - 1/8x - 17/4 = 0 | x^2 - 1/8x - 17/4 = 0
(x - 17/8)(x - -2) = 0
x - 17/8 = 0 or x - -2 = 0
x = 17/8
x = -2 |
What value of x satisfies x^2 + 104/21x + 128/21 = 0 | x^2 + 104/21x + 128/21 = 0
(x - -16/7)(x - -8/3) = 0
x - -16/7 = 0 or x - -8/3 = 0
x = -16/7
x = -8/3 |
Solve the equations:
6x + 1y = 8/7
7x + 8y = -26 | 6x + 1y = 8/7
7x + 8y = -26
Using elimination
7*(6x + 1y = 8/7)
6*(7x + 8y = -26)
42x + 7y = 8
42x + 48y = -156
Subtract equations
-41y = 164
y = 164/-41
y = -4
Substitute y
6x + 1(-4) = 8/7
6x = 36/7
x = 36/7/6
x = 6/7 |
What value of x satisfies x^3 + 33/10x^2 + 72/25x + 32/125 = 0 | x^3 + 33/10x^2 + 72/25x + 32/125 = 0
(x - -8/5)(x - -8/5)(x - -1/10) = 0
x - -8/5 = 0
x - -8/5 = 0
x - -1/10 = 0
x = -8/5
x = -8/5
x = -1/10 |
Compute the solution of x^2 - 23/6x + 5/3 = 0 | x^2 - 23/6x + 5/3 = 0
(x - 10/3)(x - 1/2) = 0
x - 10/3 = 0 or x - 1/2 = 0
x = 10/3
x = 1/2 |
Solve the system:
8x + 5y = 131/3
7x + 9y = 184/3 | 8x + 5y = 131/3
7x + 9y = 184/3
Using elimination
7*(8x + 5y = 131/3)
8*(7x + 9y = 184/3)
56x + 35y = 917/3
56x + 72y = 1472/3
Subtract equations
-37y = -185
y = -185/-37
y = 5
Substitute y
8x + 5(5) = 131/3
8x = 56/3
x = 56/3/8
x = 7/3 |
Determine x in 2x + 4 = 0 | 2x + 4 = 0
2x = -4
x = -4 / 2
x = -2 |
Solve the equation 4x - 24/7 = 0 | 4x - 24/7 = 0
4x = 24/7
x = 24/7 / 4
x = 6/7 |
Solve simultaneously:
4x + 10y = 227/7
6x + 5y = 331/14 | 4x + 10y = 227/7
6x + 5y = 331/14
Using elimination
6*(4x + 10y = 227/7)
4*(6x + 5y = 331/14)
24x + 60y = 1362/7
24x + 20y = 662/7
Subtract equations
40y = 100
y = 100/40
y = 5/2
Substitute y
4x + 10(5/2) = 227/7
4x = 52/7
x = 52/7/4
x = 13/7 |
Solve the equation x^3 + 88/21x^2 + 4/7x - 160/21 = 0 | x^3 + 88/21x^2 + 4/7x - 160/21 = 0
(x - -2)(x - 8/7)(x - -10/3) = 0
x - -2 = 0
x - 8/7 = 0
x - -10/3 = 0
x = -2
x = 8/7
x = -10/3 |
Compute the solution of x^2 - 4/3x - 28 = 0 | x^2 - 4/3x - 28 = 0
(x - 6)(x - -14/3) = 0
x - 6 = 0 or x - -14/3 = 0
x = 6
x = -14/3 |
Find the solution to x^2 + 62/21x + 32/21 = 0 | x^2 + 62/21x + 32/21 = 0
(x - -2/3)(x - -16/7) = 0
x - -2/3 = 0 or x - -16/7 = 0
x = -2/3
x = -16/7 |
Compute the solution of 2x + 15 = 0 | 2x + 15 = 0
2x = -15
x = -15 / 2
x = -15/2 |
Find x and y such that
8x + 7y = -187/12
1x + 10y = -217/6 | 8x + 7y = -187/12
1x + 10y = -217/6
Using elimination
1*(8x + 7y = -187/12)
8*(1x + 10y = -217/6)
8x + 7y = -187/12
8x + 80y = -868/3
Subtract equations
-73y = 1095/4
y = 1095/4/-73
y = -15/4
Substitute y
8x + 7(-15/4) = -187/12
8x = 32/3
x = 32/3/8
x = 4/3 |
Find the solution to x^3 - 26/35x^2 - 53/35x + 8/35 = 0 | x^3 - 26/35x^2 - 53/35x + 8/35 = 0
(x - -1)(x - 8/5)(x - 1/7) = 0
x - -1 = 0
x - 8/5 = 0
x - 1/7 = 0
x = -1
x = 8/5
x = 1/7 |
What value of x satisfies 7x + 14 = 0 | 7x + 14 = 0
7x = -14
x = -14 / 7
x = -2 |
Solve x^2 - 41/9x - 26/3 = 0 | x^2 - 41/9x - 26/3 = 0
(x - -13/9)(x - 6) = 0
x - -13/9 = 0 or x - 6 = 0
x = -13/9
x = 6 |
Solve quickly: x^3 + 31/6x^2 - 62/3x + 16 = 0 | x^3 + 31/6x^2 - 62/3x + 16 = 0
(x - 4/3)(x - -8)(x - 3/2) = 0
x - 4/3 = 0
x - -8 = 0
x - 3/2 = 0
x = 4/3
x = -8
x = 3/2 |
Solve the system:
7x + 10y = -89
9x + 5y = -194/3 | 7x + 10y = -89
9x + 5y = -194/3
Using elimination
9*(7x + 10y = -89)
7*(9x + 5y = -194/3)
63x + 90y = -801
63x + 35y = -1358/3
Subtract equations
55y = -1045/3
y = -1045/3/55
y = -19/3
Substitute y
7x + 10(-19/3) = -89
7x = -77/3
x = -77/3/7
x = -11/3 |
Compute the solution of x^2 - 1/3x - 14/3 = 0 | x^2 - 1/3x - 14/3 = 0
(x - 7/3)(x - -2) = 0
x - 7/3 = 0 or x - -2 = 0
x = 7/3
x = -2 |
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