input stringlengths 13 66 | output stringlengths 30 276 |
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Solve the system:
9x + 6y = -37
3x + 4y = -77/3 | 9x + 6y = -37
3x + 4y = -77/3
Using elimination
3*(9x + 6y = -37)
9*(3x + 4y = -77/3)
27x + 18y = -111
27x + 36y = -231
Subtract equations
-18y = 120
y = 120/-18
y = -20/3
Substitute y
9x + 6(-20/3) = -37
9x = 3
x = 3/9
x = 1/3 |
Solve simultaneously:
3x + 5y = -10
6x + 5y = -10 | 3x + 5y = -10
6x + 5y = -10
Using elimination
6*(3x + 5y = -10)
3*(6x + 5y = -10)
18x + 30y = -60
18x + 15y = -30
Subtract equations
15y = -30
y = -30/15
y = -2
Substitute y
3x + 5(-2) = -10
3x = 0
x = 0/3
x = 0 |
Find the solution to x^2 - 2x + 19/100 = 0 | x^2 - 2x + 19/100 = 0
(x - 19/10)(x - 1/10) = 0
x - 19/10 = 0 or x - 1/10 = 0
x = 19/10
x = 1/10 |
Solve quickly: 5x + 10/3 = 0 | 5x + 10/3 = 0
5x = -10/3
x = -10/3 / 5
x = -2/3 |
What value of x satisfies x^2 + 7x + 110/9 = 0 | x^2 + 7x + 110/9 = 0
(x - -11/3)(x - -10/3) = 0
x - -11/3 = 0 or x - -10/3 = 0
x = -11/3
x = -10/3 |
Solve the equations:
4x + 4y = 16/9
3x + 10y = -86/9 | 4x + 4y = 16/9
3x + 10y = -86/9
Using elimination
3*(4x + 4y = 16/9)
4*(3x + 10y = -86/9)
12x + 12y = 16/3
12x + 40y = -344/9
Subtract equations
-28y = 392/9
y = 392/9/-28
y = -14/9
Substitute y
4x + 4(-14/9) = 16/9
4x = 8
x = 8/4
x = 2 |
Find x in x^2 - 1/10x - 9/10 = 0 | x^2 - 1/10x - 9/10 = 0
(x - 1)(x - -9/10) = 0
x - 1 = 0 or x - -9/10 = 0
x = 1
x = -9/10 |
Determine x in x^2 - 28/15x - 32/15 = 0 | x^2 - 28/15x - 32/15 = 0
(x - -4/5)(x - 8/3) = 0
x - -4/5 = 0 or x - 8/3 = 0
x = -4/5
x = 8/3 |
Find x in 1x + 3/8 = 0 | 1x + 3/8 = 0
1x = -3/8
x = -3/8 / 1
x = -3/8 |
Solve quickly: x^2 + 73/10x + 26/5 = 0 | x^2 + 73/10x + 26/5 = 0
(x - -13/2)(x - -4/5) = 0
x - -13/2 = 0 or x - -4/5 = 0
x = -13/2
x = -4/5 |
What value of x satisfies x^2 - 107/12x + 15 = 0 | x^2 - 107/12x + 15 = 0
(x - 9/4)(x - 20/3) = 0
x - 9/4 = 0 or x - 20/3 = 0
x = 9/4
x = 20/3 |
Find x in x^2 - 37/90x - 7/9 = 0 | x^2 - 37/90x - 7/9 = 0
(x - 10/9)(x - -7/10) = 0
x - 10/9 = 0 or x - -7/10 = 0
x = 10/9
x = -7/10 |
What value of x satisfies x^3 + 49/60x^2 - 41/5x + 119/60 = 0 | x^3 + 49/60x^2 - 41/5x + 119/60 = 0
(x - 1/4)(x - -17/5)(x - 7/3) = 0
x - 1/4 = 0
x - -17/5 = 0
x - 7/3 = 0
x = 1/4
x = -17/5
x = 7/3 |
Find x and y such that
3x + 3y = -69/2
9x + 10y = -211/2 | 3x + 3y = -69/2
9x + 10y = -211/2
Using elimination
9*(3x + 3y = -69/2)
3*(9x + 10y = -211/2)
27x + 27y = -621/2
27x + 30y = -633/2
Subtract equations
-3y = 6
y = 6/-3
y = -2
Substitute y
3x + 3(-2) = -69/2
3x = -57/2
x = -57/2/3
x = -19/2 |
Solve simultaneously:
7x + 8y = -547/7
8x + 10y = -626/7 | 7x + 8y = -547/7
8x + 10y = -626/7
Using elimination
8*(7x + 8y = -547/7)
7*(8x + 10y = -626/7)
56x + 64y = -4376/7
56x + 70y = -626
Subtract equations
-6y = 6/7
y = 6/7/-6
y = -1/7
Substitute y
7x + 8(-1/7) = -547/7
7x = -77
x = -77/7
x = -11 |
Find the solution to x^2 + 19/5x + 18/5 = 0 | x^2 + 19/5x + 18/5 = 0
(x - -9/5)(x - -2) = 0
x - -9/5 = 0 or x - -2 = 0
x = -9/5
x = -2 |
Determine x in 1x - 17 = 0 | 1x - 17 = 0
1x = 17
x = 17 / 1
x = 17 |
Solve quickly: x^3 - 151/6x^2 + 625/6x - 50/3 = 0 | x^3 - 151/6x^2 + 625/6x - 50/3 = 0
(x - 5)(x - 20)(x - 1/6) = 0
x - 5 = 0
x - 20 = 0
x - 1/6 = 0
x = 5
x = 20
x = 1/6 |
Find the solution to x^2 + 37/24x + 11/48 = 0 | x^2 + 37/24x + 11/48 = 0
(x - -11/8)(x - -1/6) = 0
x - -11/8 = 0 or x - -1/6 = 0
x = -11/8
x = -1/6 |
Solve the system:
3x + 7y = 437/4
3x + 2y = 157/4 | 3x + 7y = 437/4
3x + 2y = 157/4
Using elimination
3*(3x + 7y = 437/4)
3*(3x + 2y = 157/4)
9x + 21y = 1311/4
9x + 6y = 471/4
Subtract equations
15y = 210
y = 210/15
y = 14
Substitute y
3x + 7(14) = 437/4
3x = 45/4
x = 45/4/3
x = 15/4 |
Find x and y such that
3x + 9y = 69/5
1x + 9y = 74/5 | 3x + 9y = 69/5
1x + 9y = 74/5
Using elimination
1*(3x + 9y = 69/5)
3*(1x + 9y = 74/5)
3x + 9y = 69/5
3x + 27y = 222/5
Subtract equations
-18y = -153/5
y = -153/5/-18
y = 17/10
Substitute y
3x + 9(17/10) = 69/5
3x = -3/2
x = -3/2/3
x = -1/2 |
Solve 6x + 108/5 = 0 | 6x + 108/5 = 0
6x = -108/5
x = -108/5 / 6
x = -18/5 |
Find the solution to 2x + 26/5 = 0 | 2x + 26/5 = 0
2x = -26/5
x = -26/5 / 2
x = -13/5 |
Determine x in 4x + 8 = 0 | 4x + 8 = 0
4x = -8
x = -8 / 4
x = -2 |
Compute the solution of x^2 + 4/7x - 20/7 = 0 | x^2 + 4/7x - 20/7 = 0
(x - 10/7)(x - -2) = 0
x - 10/7 = 0 or x - -2 = 0
x = 10/7
x = -2 |
Solve the equations:
4x + 8y = -64/3
9x + 3y = 12 | 4x + 8y = -64/3
9x + 3y = 12
Using elimination
9*(4x + 8y = -64/3)
4*(9x + 3y = 12)
36x + 72y = -192
36x + 12y = 48
Subtract equations
60y = -240
y = -240/60
y = -4
Substitute y
4x + 8(-4) = -64/3
4x = 32/3
x = 32/3/4
x = 8/3 |
Find the solution to x^3 + 103/45x^2 - 110/27x - 136/135 = 0 | x^3 + 103/45x^2 - 110/27x - 136/135 = 0
(x - -17/5)(x - 4/3)(x - -2/9) = 0
x - -17/5 = 0
x - 4/3 = 0
x - -2/9 = 0
x = -17/5
x = 4/3
x = -2/9 |
Find x in 2x + 1 = 0 | 2x + 1 = 0
2x = -1
x = -1 / 2
x = -1/2 |
Find x for x^3 - 137/24x^2 + 175/24x - 11/6 = 0 | x^3 - 137/24x^2 + 175/24x - 11/6 = 0
(x - 4)(x - 1/3)(x - 11/8) = 0
x - 4 = 0
x - 1/3 = 0
x - 11/8 = 0
x = 4
x = 1/3
x = 11/8 |
Find x for x^3 + 47/10x^2 - 46/5x - 42/5 = 0 | x^3 + 47/10x^2 - 46/5x - 42/5 = 0
(x - 2)(x - -7/10)(x - -6) = 0
x - 2 = 0
x - -7/10 = 0
x - -6 = 0
x = 2
x = -7/10
x = -6 |
What value of x satisfies x^3 - 103/42x^2 - 2/21x + 65/42 = 0 | x^3 - 103/42x^2 - 2/21x + 65/42 = 0
(x - 1)(x - 13/6)(x - -5/7) = 0
x - 1 = 0
x - 13/6 = 0
x - -5/7 = 0
x = 1
x = 13/6
x = -5/7 |
Solve x^3 + 103/18x^2 + 22/9x - 35/6 = 0 | x^3 + 103/18x^2 + 22/9x - 35/6 = 0
(x - 7/9)(x - -3/2)(x - -5) = 0
x - 7/9 = 0
x - -3/2 = 0
x - -5 = 0
x = 7/9
x = -3/2
x = -5 |
Solve x^2 + 13/63x - 2/21 = 0 | x^2 + 13/63x - 2/21 = 0
(x - 2/9)(x - -3/7) = 0
x - 2/9 = 0 or x - -3/7 = 0
x = 2/9
x = -3/7 |
Solve simultaneously:
4x + 7y = 74/9
5x + 8y = 91/9 | 4x + 7y = 74/9
5x + 8y = 91/9
Using elimination
5*(4x + 7y = 74/9)
4*(5x + 8y = 91/9)
20x + 35y = 370/9
20x + 32y = 364/9
Subtract equations
3y = 2/3
y = 2/3/3
y = 2/9
Substitute y
4x + 7(2/9) = 74/9
4x = 20/3
x = 20/3/4
x = 5/3 |
Find the solution to x^2 - 269/90x + 187/90 = 0 | x^2 - 269/90x + 187/90 = 0
(x - 11/10)(x - 17/9) = 0
x - 11/10 = 0 or x - 17/9 = 0
x = 11/10
x = 17/9 |
Find x for x^3 + 58/5x^2 - 63/5x - 468/5 = 0 | x^3 + 58/5x^2 - 63/5x - 468/5 = 0
(x - -13/5)(x - 3)(x - -12) = 0
x - -13/5 = 0
x - 3 = 0
x - -12 = 0
x = -13/5
x = 3
x = -12 |
Find x for x^3 - 39/10x^2 + 1699/405x - 304/405 = 0 | x^3 - 39/10x^2 + 1699/405x - 304/405 = 0
(x - 19/10)(x - 16/9)(x - 2/9) = 0
x - 19/10 = 0
x - 16/9 = 0
x - 2/9 = 0
x = 19/10
x = 16/9
x = 2/9 |
Solve simultaneously:
2x + 1y = -38/21
5x + 7y = -536/21 | 2x + 1y = -38/21
5x + 7y = -536/21
Using elimination
5*(2x + 1y = -38/21)
2*(5x + 7y = -536/21)
10x + 5y = -190/21
10x + 14y = -1072/21
Subtract equations
-9y = 42
y = 42/-9
y = -14/3
Substitute y
2x + 1(-14/3) = -38/21
2x = 20/7
x = 20/7/2
x = 10/7 |
Solve the equation 4x - 24 = 0 | 4x - 24 = 0
4x = 24
x = 24 / 4
x = 6 |
Find x in 1x - 9 = 0 | 1x - 9 = 0
1x = 9
x = 9 / 1
x = 9 |
What value of x satisfies x^3 - 11/2x^2 + 10x - 6 = 0 | x^3 - 11/2x^2 + 10x - 6 = 0
(x - 2)(x - 3/2)(x - 2) = 0
x - 2 = 0
x - 3/2 = 0
x - 2 = 0
x = 2
x = 3/2
x = 2 |
Determine x in x^3 + 1/9x^2 - 20/27x + 4/27 = 0 | x^3 + 1/9x^2 - 20/27x + 4/27 = 0
(x - 2/9)(x - 2/3)(x - -1) = 0
x - 2/9 = 0
x - 2/3 = 0
x - -1 = 0
x = 2/9
x = 2/3
x = -1 |
Solve x^2 + 65/28x + 33/28 = 0 | x^2 + 65/28x + 33/28 = 0
(x - -3/4)(x - -11/7) = 0
x - -3/4 = 0 or x - -11/7 = 0
x = -3/4
x = -11/7 |
What value of x satisfies 8x - 11 = 0 | 8x - 11 = 0
8x = 11
x = 11 / 8
x = 11/8 |
Compute the solution of 7x + 49/2 = 0 | 7x + 49/2 = 0
7x = -49/2
x = -49/2 / 7
x = -7/2 |
Solve 1x - 17 = 0 | 1x - 17 = 0
1x = 17
x = 17 / 1
x = 17 |
What value of x satisfies 4x - 68/9 = 0 | 4x - 68/9 = 0
4x = 68/9
x = 68/9 / 4
x = 17/9 |
Solve the equations:
2x + 2y = -105/4
1x + 10y = 15/4 | 2x + 2y = -105/4
1x + 10y = 15/4
Using elimination
1*(2x + 2y = -105/4)
2*(1x + 10y = 15/4)
2x + 2y = -105/4
2x + 20y = 15/2
Subtract equations
-18y = -135/4
y = -135/4/-18
y = 15/8
Substitute y
2x + 2(15/8) = -105/4
2x = -30
x = -30/2
x = -15 |
Find x and y such that
1x + 10y = -38/3
3x + 6y = -10 | 1x + 10y = -38/3
3x + 6y = -10
Using elimination
3*(1x + 10y = -38/3)
1*(3x + 6y = -10)
3x + 30y = -38
3x + 6y = -10
Subtract equations
24y = -28
y = -28/24
y = -7/6
Substitute y
1x + 10(-7/6) = -38/3
1x = -1
x = -1/1
x = -1 |
Solve 10x - 6 = 0 | 10x - 6 = 0
10x = 6
x = 6 / 10
x = 3/5 |
Determine x in x^2 + 53/21x - 8/21 = 0 | x^2 + 53/21x - 8/21 = 0
(x - -8/3)(x - 1/7) = 0
x - -8/3 = 0 or x - 1/7 = 0
x = -8/3
x = 1/7 |
Solve x^2 - 5x - 6 = 0 | x^2 - 5x - 6 = 0
(x - -1)(x - 6) = 0
x - -1 = 0 or x - 6 = 0
x = -1
x = 6 |
Compute the solution of x^3 - 62/15x^2 + 73/15x - 6/5 = 0 | x^3 - 62/15x^2 + 73/15x - 6/5 = 0
(x - 2)(x - 1/3)(x - 9/5) = 0
x - 2 = 0
x - 1/3 = 0
x - 9/5 = 0
x = 2
x = 1/3
x = 9/5 |
Solve the equation 2x - 7/3 = 0 | 2x - 7/3 = 0
2x = 7/3
x = 7/3 / 2
x = 7/6 |
Solve x^2 - 17/5x + 14/5 = 0 | x^2 - 17/5x + 14/5 = 0
(x - 7/5)(x - 2) = 0
x - 7/5 = 0 or x - 2 = 0
x = 7/5
x = 2 |
Solve simultaneously:
6x + 4y = 21/5
1x + 7y = -587/30 | 6x + 4y = 21/5
1x + 7y = -587/30
Using elimination
1*(6x + 4y = 21/5)
6*(1x + 7y = -587/30)
6x + 4y = 21/5
6x + 42y = -587/5
Subtract equations
-38y = 608/5
y = 608/5/-38
y = -16/5
Substitute y
6x + 4(-16/5) = 21/5
6x = 17
x = 17/6
x = 17/6 |
Find the solution to x^2 + 38/5x + 48/5 = 0 | x^2 + 38/5x + 48/5 = 0
(x - -8/5)(x - -6) = 0
x - -8/5 = 0 or x - -6 = 0
x = -8/5
x = -6 |
Solve the equation x^3 + 37/10x^2 + 3/25x - 297/50 = 0 | x^3 + 37/10x^2 + 3/25x - 297/50 = 0
(x - -3)(x - 11/10)(x - -9/5) = 0
x - -3 = 0
x - 11/10 = 0
x - -9/5 = 0
x = -3
x = 11/10
x = -9/5 |
Solve quickly: 1x = 0 | 1x = 0
1x = 0
x = 0 / 1
x = 0 |
Find x in 5x - 85/7 = 0 | 5x - 85/7 = 0
5x = 85/7
x = 85/7 / 5
x = 17/7 |
Find the solution to x^3 + 13/18x^2 - 190/27x + 50/9 = 0 | x^3 + 13/18x^2 - 190/27x + 50/9 = 0
(x - -10/3)(x - 10/9)(x - 3/2) = 0
x - -10/3 = 0
x - 10/9 = 0
x - 3/2 = 0
x = -10/3
x = 10/9
x = 3/2 |
Solve x^3 + 14x^2 + 23x - 110 = 0 | x^3 + 14x^2 + 23x - 110 = 0
(x - 2)(x - -11)(x - -5) = 0
x - 2 = 0
x - -11 = 0
x - -5 = 0
x = 2
x = -11
x = -5 |
Find x in x^3 + 9/2x^2 - 16x - 39/2 = 0 | x^3 + 9/2x^2 - 16x - 39/2 = 0
(x - -1)(x - 3)(x - -13/2) = 0
x - -1 = 0
x - 3 = 0
x - -13/2 = 0
x = -1
x = 3
x = -13/2 |
Find the solution to x^3 + 14x^2 + 151/4x - 45/2 = 0 | x^3 + 14x^2 + 151/4x - 45/2 = 0
(x - 1/2)(x - -9/2)(x - -10) = 0
x - 1/2 = 0
x - -9/2 = 0
x - -10 = 0
x = 1/2
x = -9/2
x = -10 |
Find the solution to x^2 + 9/4x - 45/8 = 0 | x^2 + 9/4x - 45/8 = 0
(x - -15/4)(x - 3/2) = 0
x - -15/4 = 0 or x - 3/2 = 0
x = -15/4
x = 3/2 |
Solve the equations:
6x + 8y = 413/5
2x + 4y = 211/5 | 6x + 8y = 413/5
2x + 4y = 211/5
Using elimination
2*(6x + 8y = 413/5)
6*(2x + 4y = 211/5)
12x + 16y = 826/5
12x + 24y = 1266/5
Subtract equations
-8y = -88
y = -88/-8
y = 11
Substitute y
6x + 8(11) = 413/5
6x = -27/5
x = -27/5/6
x = -9/10 |
What value of x satisfies x^3 - 15/4x^2 + 783/200x - 19/25 = 0 | x^3 - 15/4x^2 + 783/200x - 19/25 = 0
(x - 1/4)(x - 8/5)(x - 19/10) = 0
x - 1/4 = 0
x - 8/5 = 0
x - 19/10 = 0
x = 1/4
x = 8/5
x = 19/10 |
Find x for x^2 + 19x + 34 = 0 | x^2 + 19x + 34 = 0
(x - -17)(x - -2) = 0
x - -17 = 0 or x - -2 = 0
x = -17
x = -2 |
Find the solution to x^3 + 13/6x^2 - 83/6x - 15 = 0 | x^3 + 13/6x^2 - 83/6x - 15 = 0
(x - -1)(x - 10/3)(x - -9/2) = 0
x - -1 = 0
x - 10/3 = 0
x - -9/2 = 0
x = -1
x = 10/3
x = -9/2 |
Find x in x^2 + 161/36x + 143/36 = 0 | x^2 + 161/36x + 143/36 = 0
(x - -13/4)(x - -11/9) = 0
x - -13/4 = 0 or x - -11/9 = 0
x = -13/4
x = -11/9 |
Determine x in x^2 - 19/5x + 78/25 = 0 | x^2 - 19/5x + 78/25 = 0
(x - 6/5)(x - 13/5) = 0
x - 6/5 = 0 or x - 13/5 = 0
x = 6/5
x = 13/5 |
Find x and y such that
3x + 1y = -13/4
8x + 10y = -217/6 | 3x + 1y = -13/4
8x + 10y = -217/6
Using elimination
8*(3x + 1y = -13/4)
3*(8x + 10y = -217/6)
24x + 8y = -26
24x + 30y = -217/2
Subtract equations
-22y = 165/2
y = 165/2/-22
y = -15/4
Substitute y
3x + 1(-15/4) = -13/4
3x = 1/2
x = 1/2/3
x = 1/6 |
Find x and y such that
9x + 7y = -91/8
10x + 10y = -265/28 | 9x + 7y = -91/8
10x + 10y = -265/28
Using elimination
10*(9x + 7y = -91/8)
9*(10x + 10y = -265/28)
90x + 70y = -455/4
90x + 90y = -2385/28
Subtract equations
-20y = -200/7
y = -200/7/-20
y = 10/7
Substitute y
9x + 7(10/7) = -91/8
9x = -171/8
x = -171/8/9
x = -19/8 |
Solve simultaneously:
6x + 2y = 98/15
10x + 8y = 70/3 | 6x + 2y = 98/15
10x + 8y = 70/3
Using elimination
10*(6x + 2y = 98/15)
6*(10x + 8y = 70/3)
60x + 20y = 196/3
60x + 48y = 140
Subtract equations
-28y = -224/3
y = -224/3/-28
y = 8/3
Substitute y
6x + 2(8/3) = 98/15
6x = 6/5
x = 6/5/6
x = 1/5 |
Find the solution to 2x + 20/3 = 0 | 2x + 20/3 = 0
2x = -20/3
x = -20/3 / 2
x = -10/3 |
Find the solution to 3x + 3/2 = 0 | 3x + 3/2 = 0
3x = -3/2
x = -3/2 / 3
x = -1/2 |
Compute the solution of x^3 - 11/3x^2 - 577/12x - 209/3 = 0 | x^3 - 11/3x^2 - 577/12x - 209/3 = 0
(x - 19/2)(x - -11/6)(x - -4) = 0
x - 19/2 = 0
x - -11/6 = 0
x - -4 = 0
x = 19/2
x = -11/6
x = -4 |
Solve x^2 + 7/3x - 10/3 = 0 | x^2 + 7/3x - 10/3 = 0
(x - -10/3)(x - 1) = 0
x - -10/3 = 0 or x - 1 = 0
x = -10/3
x = 1 |
Find x for x^3 - 43/10x^2 + 211/45x - 68/45 = 0 | x^3 - 43/10x^2 + 211/45x - 68/45 = 0
(x - 4/5)(x - 2/3)(x - 17/6) = 0
x - 4/5 = 0
x - 2/3 = 0
x - 17/6 = 0
x = 4/5
x = 2/3
x = 17/6 |
Solve simultaneously:
1x + 1y = -65/9
10x + 7y = -515/9 | 1x + 1y = -65/9
10x + 7y = -515/9
Using elimination
10*(1x + 1y = -65/9)
1*(10x + 7y = -515/9)
10x + 10y = -650/9
10x + 7y = -515/9
Subtract equations
3y = -15
y = -15/3
y = -5
Substitute y
1x + 1(-5) = -65/9
1x = -20/9
x = -20/9/1
x = -20/9 |
Solve 9x + 9 = 0 | 9x + 9 = 0
9x = -9
x = -9 / 9
x = -1 |
Find the solution to x^3 - 6/5x^2 - 549/20x - 81/10 = 0 | x^3 - 6/5x^2 - 549/20x - 81/10 = 0
(x - 6)(x - -9/2)(x - -3/10) = 0
x - 6 = 0
x - -9/2 = 0
x - -3/10 = 0
x = 6
x = -9/2
x = -3/10 |
Find x in x^2 - 146/9x - 119/9 = 0 | x^2 - 146/9x - 119/9 = 0
(x - 17)(x - -7/9) = 0
x - 17 = 0 or x - -7/9 = 0
x = 17
x = -7/9 |
Find x and y such that
4x + 7y = -79/10
2x + 7y = -99/10 | 4x + 7y = -79/10
2x + 7y = -99/10
Using elimination
2*(4x + 7y = -79/10)
4*(2x + 7y = -99/10)
8x + 14y = -79/5
8x + 28y = -198/5
Subtract equations
-14y = 119/5
y = 119/5/-14
y = -17/10
Substitute y
4x + 7(-17/10) = -79/10
4x = 4
x = 4/4
x = 1 |
Solve simultaneously:
3x + 8y = 59/3
4x + 5y = 134/9 | 3x + 8y = 59/3
4x + 5y = 134/9
Using elimination
4*(3x + 8y = 59/3)
3*(4x + 5y = 134/9)
12x + 32y = 236/3
12x + 15y = 134/3
Subtract equations
17y = 34
y = 34/17
y = 2
Substitute y
3x + 8(2) = 59/3
3x = 11/3
x = 11/3/3
x = 11/9 |
What value of x satisfies x^2 - 25/4x - 21/4 = 0 | x^2 - 25/4x - 21/4 = 0
(x - -3/4)(x - 7) = 0
x - -3/4 = 0 or x - 7 = 0
x = -3/4
x = 7 |
Solve the equation 6x - 15 = 0 | 6x - 15 = 0
6x = 15
x = 15 / 6
x = 5/2 |
Find x in x^2 + 13/12x - 15/2 = 0 | x^2 + 13/12x - 15/2 = 0
(x - -10/3)(x - 9/4) = 0
x - -10/3 = 0 or x - 9/4 = 0
x = -10/3
x = 9/4 |
Compute the solution of x^3 - 43/40x^2 - 29/160x + 3/80 = 0 | x^3 - 43/40x^2 - 29/160x + 3/80 = 0
(x - 1/8)(x - 6/5)(x - -1/4) = 0
x - 1/8 = 0
x - 6/5 = 0
x - -1/4 = 0
x = 1/8
x = 6/5
x = -1/4 |
Find x in 8x - 160/3 = 0 | 8x - 160/3 = 0
8x = 160/3
x = 160/3 / 8
x = 20/3 |
Find x and y such that
4x + 5y = -67/9
4x + 3y = -11/3 | 4x + 5y = -67/9
4x + 3y = -11/3
Using elimination
4*(4x + 5y = -67/9)
4*(4x + 3y = -11/3)
16x + 20y = -268/9
16x + 12y = -44/3
Subtract equations
8y = -136/9
y = -136/9/8
y = -17/9
Substitute y
4x + 5(-17/9) = -67/9
4x = 2
x = 2/4
x = 1/2 |
Solve the equation x^2 - 6x - 133/4 = 0 | x^2 - 6x - 133/4 = 0
(x - -7/2)(x - 19/2) = 0
x - -7/2 = 0 or x - 19/2 = 0
x = -7/2
x = 19/2 |
Solve 2x - 2 = 0 | 2x - 2 = 0
2x = 2
x = 2 / 2
x = 1 |
Find x for x^2 + 21x + 20 = 0 | x^2 + 21x + 20 = 0
(x - -20)(x - -1) = 0
x - -20 = 0 or x - -1 = 0
x = -20
x = -1 |
Solve quickly: x^3 + 194/35x^2 + 353/35x + 6 = 0 | x^3 + 194/35x^2 + 353/35x + 6 = 0
(x - -7/5)(x - -2)(x - -15/7) = 0
x - -7/5 = 0
x - -2 = 0
x - -15/7 = 0
x = -7/5
x = -2
x = -15/7 |
Find x and y such that
3x + 2y = 18/5
4x + 6y = -26/5 | 3x + 2y = 18/5
4x + 6y = -26/5
Using elimination
4*(3x + 2y = 18/5)
3*(4x + 6y = -26/5)
12x + 8y = 72/5
12x + 18y = -78/5
Subtract equations
-10y = 30
y = 30/-10
y = -3
Substitute y
3x + 2(-3) = 18/5
3x = 48/5
x = 48/5/3
x = 16/5 |
Solve the equations:
5x + 8y = 121/6
7x + 9y = 55/2 | 5x + 8y = 121/6
7x + 9y = 55/2
Using elimination
7*(5x + 8y = 121/6)
5*(7x + 9y = 55/2)
35x + 56y = 847/6
35x + 45y = 275/2
Subtract equations
11y = 11/3
y = 11/3/11
y = 1/3
Substitute y
5x + 8(1/3) = 121/6
5x = 35/2
x = 35/2/5
x = 7/2 |
Determine x in x^2 - 43/18x - 19/2 = 0 | x^2 - 43/18x - 19/2 = 0
(x - 9/2)(x - -19/9) = 0
x - 9/2 = 0 or x - -19/9 = 0
x = 9/2
x = -19/9 |
Solve simultaneously:
7x + 3y = -206/63
3x + 8y = -110/21 | 7x + 3y = -206/63
3x + 8y = -110/21
Using elimination
3*(7x + 3y = -206/63)
7*(3x + 8y = -110/21)
21x + 9y = -206/21
21x + 56y = -110/3
Subtract equations
-47y = 188/7
y = 188/7/-47
y = -4/7
Substitute y
7x + 3(-4/7) = -206/63
7x = -14/9
x = -14/9/7
x = -2/9 |
Compute the solution of x^3 - 17/12x^2 - 247/18x + 169/36 = 0 | x^3 - 17/12x^2 - 247/18x + 169/36 = 0
(x - 13/3)(x - 1/3)(x - -13/4) = 0
x - 13/3 = 0
x - 1/3 = 0
x - -13/4 = 0
x = 13/3
x = 1/3
x = -13/4 |
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