input stringlengths 13 66 | output stringlengths 30 276 |
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Find x and y such that
7x + 3y = -361/63
2x + 4y = -584/63 | 7x + 3y = -361/63
2x + 4y = -584/63
Using elimination
2*(7x + 3y = -361/63)
7*(2x + 4y = -584/63)
14x + 6y = -722/63
14x + 28y = -584/9
Subtract equations
-22y = 374/7
y = 374/7/-22
y = -17/7
Substitute y
7x + 3(-17/7) = -361/63
7x = 14/9
x = 14/9/7
x = 2/9 |
What value of x satisfies x^2 + 157/8x - 15/2 = 0 | x^2 + 157/8x - 15/2 = 0
(x - 3/8)(x - -20) = 0
x - 3/8 = 0 or x - -20 = 0
x = 3/8
x = -20 |
Find the solution to 7x - 56/5 = 0 | 7x - 56/5 = 0
7x = 56/5
x = 56/5 / 7
x = 8/5 |
Solve the system:
3x + 6y = -173/21
6x + 1y = -730/63 | 3x + 6y = -173/21
6x + 1y = -730/63
Using elimination
6*(3x + 6y = -173/21)
3*(6x + 1y = -730/63)
18x + 36y = -346/7
18x + 3y = -730/21
Subtract equations
33y = -44/3
y = -44/3/33
y = -4/9
Substitute y
3x + 6(-4/9) = -173/21
3x = -39/7
x = -39/7/3
x = -13/7 |
Solve simultaneously:
10x + 6y = 130/9
1x + 1y = 25/9 | 10x + 6y = 130/9
1x + 1y = 25/9
Using elimination
1*(10x + 6y = 130/9)
10*(1x + 1y = 25/9)
10x + 6y = 130/9
10x + 10y = 250/9
Subtract equations
-4y = -40/3
y = -40/3/-4
y = 10/3
Substitute y
10x + 6(10/3) = 130/9
10x = -50/9
x = -50/9/10
x = -5/9 |
Solve the equations:
8x + 2y = 38
1x + 9y = 719/4 | 8x + 2y = 38
1x + 9y = 719/4
Using elimination
1*(8x + 2y = 38)
8*(1x + 9y = 719/4)
8x + 2y = 38
8x + 72y = 1438
Subtract equations
-70y = -1400
y = -1400/-70
y = 20
Substitute y
8x + 2(20) = 38
8x = -2
x = -2/8
x = -1/4 |
Find x for 10x + 20/3 = 0 | 10x + 20/3 = 0
10x = -20/3
x = -20/3 / 10
x = -2/3 |
Find x for 6x - 51/2 = 0 | 6x - 51/2 = 0
6x = 51/2
x = 51/2 / 6
x = 17/4 |
Solve the equations:
6x + 9y = -48/5
5x + 5y = -11/2 | 6x + 9y = -48/5
5x + 5y = -11/2
Using elimination
5*(6x + 9y = -48/5)
6*(5x + 5y = -11/2)
30x + 45y = -48
30x + 30y = -33
Subtract equations
15y = -15
y = -15/15
y = -1
Substitute y
6x + 9(-1) = -48/5
6x = -3/5
x = -3/5/6
x = -1/10 |
Solve 1x + 5/9 = 0 | 1x + 5/9 = 0
1x = -5/9
x = -5/9 / 1
x = -5/9 |
Find the solution to x^3 + 11/12x^2 - 19/8x - 15/8 = 0 | x^3 + 11/12x^2 - 19/8x - 15/8 = 0
(x - -3/4)(x - 3/2)(x - -5/3) = 0
x - -3/4 = 0
x - 3/2 = 0
x - -5/3 = 0
x = -3/4
x = 3/2
x = -5/3 |
Solve quickly: x^3 + 159/8x^2 + 285/32x - 4693/32 = 0 | x^3 + 159/8x^2 + 285/32x - 4693/32 = 0
(x - -13/4)(x - -19)(x - 19/8) = 0
x - -13/4 = 0
x - -19 = 0
x - 19/8 = 0
x = -13/4
x = -19
x = 19/8 |
Find x and y such that
10x + 10y = -75/2
10x + 7y = -33 | 10x + 10y = -75/2
10x + 7y = -33
Using elimination
10*(10x + 10y = -75/2)
10*(10x + 7y = -33)
100x + 100y = -375
100x + 70y = -330
Subtract equations
30y = -45
y = -45/30
y = -3/2
Substitute y
10x + 10(-3/2) = -75/2
10x = -45/2
x = -45/2/10
x = -9/4 |
Determine x in x^2 - 3x - 10 = 0 | x^2 - 3x - 10 = 0
(x - 5)(x - -2) = 0
x - 5 = 0 or x - -2 = 0
x = 5
x = -2 |
What value of x satisfies x^3 - 49/10x^2 + 72/5 = 0 | x^3 - 49/10x^2 + 72/5 = 0
(x - -3/2)(x - 4)(x - 12/5) = 0
x - -3/2 = 0
x - 4 = 0
x - 12/5 = 0
x = -3/2
x = 4
x = 12/5 |
Solve the system:
9x + 10y = -109/4
1x + 8y = -53/3 | 9x + 10y = -109/4
1x + 8y = -53/3
Using elimination
1*(9x + 10y = -109/4)
9*(1x + 8y = -53/3)
9x + 10y = -109/4
9x + 72y = -159
Subtract equations
-62y = 527/4
y = 527/4/-62
y = -17/8
Substitute y
9x + 10(-17/8) = -109/4
9x = -6
x = -6/9
x = -2/3 |
What value of x satisfies x^3 - 24/5x^2 + 3x + 4/5 = 0 | x^3 - 24/5x^2 + 3x + 4/5 = 0
(x - -1/5)(x - 4)(x - 1) = 0
x - -1/5 = 0
x - 4 = 0
x - 1 = 0
x = -1/5
x = 4
x = 1 |
Solve the system:
10x + 9y = -30
5x + 9y = -20 | 10x + 9y = -30
5x + 9y = -20
Using elimination
5*(10x + 9y = -30)
10*(5x + 9y = -20)
50x + 45y = -150
50x + 90y = -200
Subtract equations
-45y = 50
y = 50/-45
y = -10/9
Substitute y
10x + 9(-10/9) = -30
10x = -20
x = -20/10
x = -2 |
Compute the solution of 4x - 20/3 = 0 | 4x - 20/3 = 0
4x = 20/3
x = 20/3 / 4
x = 5/3 |
Solve the equation x^2 + 19/8x + 21/16 = 0 | x^2 + 19/8x + 21/16 = 0
(x - -7/8)(x - -3/2) = 0
x - -7/8 = 0 or x - -3/2 = 0
x = -7/8
x = -3/2 |
Solve simultaneously:
2x + 3y = 7/2
5x + 3y = 71/4 | 2x + 3y = 7/2
5x + 3y = 71/4
Using elimination
5*(2x + 3y = 7/2)
2*(5x + 3y = 71/4)
10x + 15y = 35/2
10x + 6y = 71/2
Subtract equations
9y = -18
y = -18/9
y = -2
Substitute y
2x + 3(-2) = 7/2
2x = 19/2
x = 19/2/2
x = 19/4 |
Solve quickly: 3x + 42 = 0 | 3x + 42 = 0
3x = -42
x = -42 / 3
x = -14 |
Solve quickly: 3x + 7 = 0 | 3x + 7 = 0
3x = -7
x = -7 / 3
x = -7/3 |
Solve the equations:
10x + 1y = -335/9
6x + 2y = -956/45 | 10x + 1y = -335/9
6x + 2y = -956/45
Using elimination
6*(10x + 1y = -335/9)
10*(6x + 2y = -956/45)
60x + 6y = -670/3
60x + 20y = -1912/9
Subtract equations
-14y = -98/9
y = -98/9/-14
y = 7/9
Substitute y
10x + 1(7/9) = -335/9
10x = -38
x = -38/10
x = -19/5 |
Determine x in 9x + 81/10 = 0 | 9x + 81/10 = 0
9x = -81/10
x = -81/10 / 9
x = -9/10 |
Find x and y such that
10x + 7y = 76
3x + 1y = 64/3 | 10x + 7y = 76
3x + 1y = 64/3
Using elimination
3*(10x + 7y = 76)
10*(3x + 1y = 64/3)
30x + 21y = 228
30x + 10y = 640/3
Subtract equations
11y = 44/3
y = 44/3/11
y = 4/3
Substitute y
10x + 7(4/3) = 76
10x = 200/3
x = 200/3/10
x = 20/3 |
Solve the equations:
3x + 4y = 45/2
1x + 1y = 13/2 | 3x + 4y = 45/2
1x + 1y = 13/2
Using elimination
1*(3x + 4y = 45/2)
3*(1x + 1y = 13/2)
3x + 4y = 45/2
3x + 3y = 39/2
Subtract equations
1y = 3
y = 3/1
y = 3
Substitute y
3x + 4(3) = 45/2
3x = 21/2
x = 21/2/3
x = 7/2 |
Solve x^2 - 9x - 90 = 0 | x^2 - 9x - 90 = 0
(x - -6)(x - 15) = 0
x - -6 = 0 or x - 15 = 0
x = -6
x = 15 |
Find x for x^3 + 173/18x^2 - 371/9x + 221/6 = 0 | x^3 + 173/18x^2 - 371/9x + 221/6 = 0
(x - -13)(x - 3/2)(x - 17/9) = 0
x - -13 = 0
x - 3/2 = 0
x - 17/9 = 0
x = -13
x = 3/2
x = 17/9 |
Solve the equations:
2x + 3y = -31/7
7x + 5y = -81/7 | 2x + 3y = -31/7
7x + 5y = -81/7
Using elimination
7*(2x + 3y = -31/7)
2*(7x + 5y = -81/7)
14x + 21y = -31
14x + 10y = -162/7
Subtract equations
11y = -55/7
y = -55/7/11
y = -5/7
Substitute y
2x + 3(-5/7) = -31/7
2x = -16/7
x = -16/7/2
x = -8/7 |
Find x in 6x + 90/7 = 0 | 6x + 90/7 = 0
6x = -90/7
x = -90/7 / 6
x = -15/7 |
Find x in x^3 - 82/7x^2 - 1205/7x + 900/7 = 0 | x^3 - 82/7x^2 - 1205/7x + 900/7 = 0
(x - 20)(x - -9)(x - 5/7) = 0
x - 20 = 0
x - -9 = 0
x - 5/7 = 0
x = 20
x = -9
x = 5/7 |
Find the solution to 5x - 95/4 = 0 | 5x - 95/4 = 0
5x = 95/4
x = 95/4 / 5
x = 19/4 |
Solve the equations:
2x + 9y = -67/4
7x + 3y = -343/24 | 2x + 9y = -67/4
7x + 3y = -343/24
Using elimination
7*(2x + 9y = -67/4)
2*(7x + 3y = -343/24)
14x + 63y = -469/4
14x + 6y = -343/12
Subtract equations
57y = -266/3
y = -266/3/57
y = -14/9
Substitute y
2x + 9(-14/9) = -67/4
2x = -11/4
x = -11/4/2
x = -11/8 |
Compute the solution of 2x - 3 = 0 | 2x - 3 = 0
2x = 3
x = 3 / 2
x = 3/2 |
Solve quickly: x^2 - 16 = 0 | x^2 - 16 = 0
(x - 4)(x - -4) = 0
x - 4 = 0 or x - -4 = 0
x = 4
x = -4 |
Solve quickly: x^2 + 89/40x + 99/80 = 0 | x^2 + 89/40x + 99/80 = 0
(x - -9/8)(x - -11/10) = 0
x - -9/8 = 0 or x - -11/10 = 0
x = -9/8
x = -11/10 |
Find the solution to 7x + 119/8 = 0 | 7x + 119/8 = 0
7x = -119/8
x = -119/8 / 7
x = -17/8 |
Solve the equation x^3 + 108/35x^2 + 387/140x + 81/140 = 0 | x^3 + 108/35x^2 + 387/140x + 81/140 = 0
(x - -9/7)(x - -3/2)(x - -3/10) = 0
x - -9/7 = 0
x - -3/2 = 0
x - -3/10 = 0
x = -9/7
x = -3/2
x = -3/10 |
Solve the system:
10x + 3y = 146
8x + 9y = 130 | 10x + 3y = 146
8x + 9y = 130
Using elimination
8*(10x + 3y = 146)
10*(8x + 9y = 130)
80x + 24y = 1168
80x + 90y = 1300
Subtract equations
-66y = -132
y = -132/-66
y = 2
Substitute y
10x + 3(2) = 146
10x = 140
x = 140/10
x = 14 |
Solve x^3 + 29/45x^2 - 1564/405x - 64/81 = 0 | x^3 + 29/45x^2 - 1564/405x - 64/81 = 0
(x - 16/9)(x - -1/5)(x - -20/9) = 0
x - 16/9 = 0
x - -1/5 = 0
x - -20/9 = 0
x = 16/9
x = -1/5
x = -20/9 |
Find x and y such that
2x + 6y = 29/4
5x + 10y = 95/8 | 2x + 6y = 29/4
5x + 10y = 95/8
Using elimination
5*(2x + 6y = 29/4)
2*(5x + 10y = 95/8)
10x + 30y = 145/4
10x + 20y = 95/4
Subtract equations
10y = 25/2
y = 25/2/10
y = 5/4
Substitute y
2x + 6(5/4) = 29/4
2x = -1/4
x = -1/4/2
x = -1/8 |
Compute the solution of 8x - 24 = 0 | 8x - 24 = 0
8x = 24
x = 24 / 8
x = 3 |
Find x for x^3 - 163/24x^2 + 233/24x - 15/4 = 0 | x^3 - 163/24x^2 + 233/24x - 15/4 = 0
(x - 5)(x - 9/8)(x - 2/3) = 0
x - 5 = 0
x - 9/8 = 0
x - 2/3 = 0
x = 5
x = 9/8
x = 2/3 |
Determine x in x^3 - 274/9x^2 + 2087/9x - 2470/9 = 0 | x^3 - 274/9x^2 + 2087/9x - 2470/9 = 0
(x - 10)(x - 13/9)(x - 19) = 0
x - 10 = 0
x - 13/9 = 0
x - 19 = 0
x = 10
x = 13/9
x = 19 |
Solve quickly: 8x = 0 | 8x = 0
8x = 0
x = 0 / 8
x = 0 |
Solve simultaneously:
9x + 9y = 9/5
3x + 1y = -17/5 | 9x + 9y = 9/5
3x + 1y = -17/5
Using elimination
3*(9x + 9y = 9/5)
9*(3x + 1y = -17/5)
27x + 27y = 27/5
27x + 9y = -153/5
Subtract equations
18y = 36
y = 36/18
y = 2
Substitute y
9x + 9(2) = 9/5
9x = -81/5
x = -81/5/9
x = -9/5 |
Solve the equations:
6x + 7y = -25/3
5x + 2y = -28/9 | 6x + 7y = -25/3
5x + 2y = -28/9
Using elimination
5*(6x + 7y = -25/3)
6*(5x + 2y = -28/9)
30x + 35y = -125/3
30x + 12y = -56/3
Subtract equations
23y = -23
y = -23/23
y = -1
Substitute y
6x + 7(-1) = -25/3
6x = -4/3
x = -4/3/6
x = -2/9 |
Find x in x^3 + 81/20x^2 + 141/40x - 7/8 = 0 | x^3 + 81/20x^2 + 141/40x - 7/8 = 0
(x - 1/5)(x - -5/2)(x - -7/4) = 0
x - 1/5 = 0
x - -5/2 = 0
x - -7/4 = 0
x = 1/5
x = -5/2
x = -7/4 |
Find the solution to x^3 - 3/2x^2 - 35/2x + 18 = 0 | x^3 - 3/2x^2 - 35/2x + 18 = 0
(x - 9/2)(x - -4)(x - 1) = 0
x - 9/2 = 0
x - -4 = 0
x - 1 = 0
x = 9/2
x = -4
x = 1 |
Find the solution to x^3 + 125/18x^2 - 175/6x + 125/9 = 0 | x^3 + 125/18x^2 - 175/6x + 125/9 = 0
(x - 5/2)(x - -10)(x - 5/9) = 0
x - 5/2 = 0
x - -10 = 0
x - 5/9 = 0
x = 5/2
x = -10
x = 5/9 |
Find x in x^2 + 1x = 0 | x^2 + 1x = 0
(x - -1)(x - 0) = 0
x - -1 = 0 or x - 0 = 0
x = -1
x = 0 |
Solve the equation x^3 + 5/2x^2 - 57/4x + 99/8 = 0 | x^3 + 5/2x^2 - 57/4x + 99/8 = 0
(x - 3/2)(x - -11/2)(x - 3/2) = 0
x - 3/2 = 0
x - -11/2 = 0
x - 3/2 = 0
x = 3/2
x = -11/2
x = 3/2 |
Solve the equation x^2 - 6x + 5 = 0 | x^2 - 6x + 5 = 0
(x - 1)(x - 5) = 0
x - 1 = 0 or x - 5 = 0
x = 1
x = 5 |
Find the solution to 6x - 12 = 0 | 6x - 12 = 0
6x = 12
x = 12 / 6
x = 2 |
Find x in x^2 + 1/42x - 1/42 = 0 | x^2 + 1/42x - 1/42 = 0
(x - -1/6)(x - 1/7) = 0
x - -1/6 = 0 or x - 1/7 = 0
x = -1/6
x = 1/7 |
Solve quickly: x^2 + 3/2x - 1 = 0 | x^2 + 3/2x - 1 = 0
(x - -2)(x - 1/2) = 0
x - -2 = 0 or x - 1/2 = 0
x = -2
x = 1/2 |
Determine x in 2x - 7 = 0 | 2x - 7 = 0
2x = 7
x = 7 / 2
x = 7/2 |
Find x and y such that
5x + 7y = -11/2
7x + 2y = 59/5 | 5x + 7y = -11/2
7x + 2y = 59/5
Using elimination
7*(5x + 7y = -11/2)
5*(7x + 2y = 59/5)
35x + 49y = -77/2
35x + 10y = 59
Subtract equations
39y = -195/2
y = -195/2/39
y = -5/2
Substitute y
5x + 7(-5/2) = -11/2
5x = 12
x = 12/5
x = 12/5 |
What value of x satisfies x^2 + 2x - 8 = 0 | x^2 + 2x - 8 = 0
(x - 2)(x - -4) = 0
x - 2 = 0 or x - -4 = 0
x = 2
x = -4 |
Find the solution to 1x - 4/9 = 0 | 1x - 4/9 = 0
1x = 4/9
x = 4/9 / 1
x = 4/9 |
Solve the equation x^2 + 26/5x + 1 = 0 | x^2 + 26/5x + 1 = 0
(x - -1/5)(x - -5) = 0
x - -1/5 = 0 or x - -5 = 0
x = -1/5
x = -5 |
Solve quickly: 1x + 10 = 0 | 1x + 10 = 0
1x = -10
x = -10 / 1
x = -10 |
Solve the system:
10x + 3y = 12
7x + 7y = 7/2 | 10x + 3y = 12
7x + 7y = 7/2
Using elimination
7*(10x + 3y = 12)
10*(7x + 7y = 7/2)
70x + 21y = 84
70x + 70y = 35
Subtract equations
-49y = 49
y = 49/-49
y = -1
Substitute y
10x + 3(-1) = 12
10x = 15
x = 15/10
x = 3/2 |
Solve 10x - 75 = 0 | 10x - 75 = 0
10x = 75
x = 75 / 10
x = 15/2 |
Compute the solution of x^2 + 37/10x - 6/5 = 0 | x^2 + 37/10x - 6/5 = 0
(x - -4)(x - 3/10) = 0
x - -4 = 0 or x - 3/10 = 0
x = -4
x = 3/10 |
Compute the solution of x^3 - 19/42x^2 - 193/21x + 80/7 = 0 | x^3 - 19/42x^2 - 193/21x + 80/7 = 0
(x - 16/7)(x - -10/3)(x - 3/2) = 0
x - 16/7 = 0
x - -10/3 = 0
x - 3/2 = 0
x = 16/7
x = -10/3
x = 3/2 |
Find x in x^3 + 29/24x^2 - 221/48x = 0 | x^3 + 29/24x^2 - 221/48x = 0
(x - 0)(x - -17/6)(x - 13/8) = 0
x - 0 = 0
x - -17/6 = 0
x - 13/8 = 0
x = 0
x = -17/6
x = 13/8 |
Solve the equation x^2 - 49/6x - 17/6 = 0 | x^2 - 49/6x - 17/6 = 0
(x - 17/2)(x - -1/3) = 0
x - 17/2 = 0 or x - -1/3 = 0
x = 17/2
x = -1/3 |
Solve x^3 - 77/12x^2 + 4x + 17/12 = 0 | x^3 - 77/12x^2 + 4x + 17/12 = 0
(x - 1)(x - -1/4)(x - 17/3) = 0
x - 1 = 0
x - -1/4 = 0
x - 17/3 = 0
x = 1
x = -1/4
x = 17/3 |
Solve simultaneously:
3x + 6y = -5
10x + 4y = -10/3 | 3x + 6y = -5
10x + 4y = -10/3
Using elimination
10*(3x + 6y = -5)
3*(10x + 4y = -10/3)
30x + 60y = -50
30x + 12y = -10
Subtract equations
48y = -40
y = -40/48
y = -5/6
Substitute y
3x + 6(-5/6) = -5
3x = 0
x = 0/3
x = 0 |
Compute the solution of x^3 - 4x^2 - 52x - 80 = 0 | x^3 - 4x^2 - 52x - 80 = 0
(x - -2)(x - -4)(x - 10) = 0
x - -2 = 0
x - -4 = 0
x - 10 = 0
x = -2
x = -4
x = 10 |
Find x in 9x + 13 = 0 | 9x + 13 = 0
9x = -13
x = -13 / 9
x = -13/9 |
Determine x in x^3 + 53/9x^2 + 862/81x + 160/27 = 0 | x^3 + 53/9x^2 + 862/81x + 160/27 = 0
(x - -3)(x - -16/9)(x - -10/9) = 0
x - -3 = 0
x - -16/9 = 0
x - -10/9 = 0
x = -3
x = -16/9
x = -10/9 |
Find x and y such that
2x + 4y = -46/9
7x + 5y = -233/9 | 2x + 4y = -46/9
7x + 5y = -233/9
Using elimination
7*(2x + 4y = -46/9)
2*(7x + 5y = -233/9)
14x + 28y = -322/9
14x + 10y = -466/9
Subtract equations
18y = 16
y = 16/18
y = 8/9
Substitute y
2x + 4(8/9) = -46/9
2x = -26/3
x = -26/3/2
x = -13/3 |
Find x in 10x - 180/7 = 0 | 10x - 180/7 = 0
10x = 180/7
x = 180/7 / 10
x = 18/7 |
Solve quickly: x^2 + 1/10x = 0 | x^2 + 1/10x = 0
(x - 0)(x - -1/10) = 0
x - 0 = 0 or x - -1/10 = 0
x = 0
x = -1/10 |
Find x and y such that
5x + 1y = -13/6
5x + 9y = -23/2 | 5x + 1y = -13/6
5x + 9y = -23/2
Using elimination
5*(5x + 1y = -13/6)
5*(5x + 9y = -23/2)
25x + 5y = -65/6
25x + 45y = -115/2
Subtract equations
-40y = 140/3
y = 140/3/-40
y = -7/6
Substitute y
5x + 1(-7/6) = -13/6
5x = -1
x = -1/5
x = -1/5 |
Determine x in x^2 - 115/6x + 221/6 = 0 | x^2 - 115/6x + 221/6 = 0
(x - 17)(x - 13/6) = 0
x - 17 = 0 or x - 13/6 = 0
x = 17
x = 13/6 |
Find the solution to x^3 - 31/20x^2 - 6/5x + 27/20 = 0 | x^3 - 31/20x^2 - 6/5x + 27/20 = 0
(x - 3/4)(x - 9/5)(x - -1) = 0
x - 3/4 = 0
x - 9/5 = 0
x - -1 = 0
x = 3/4
x = 9/5
x = -1 |
Solve x^2 + 22/5x + 63/20 = 0 | x^2 + 22/5x + 63/20 = 0
(x - -9/10)(x - -7/2) = 0
x - -9/10 = 0 or x - -7/2 = 0
x = -9/10
x = -7/2 |
Find x in x^2 + 3x + 182/81 = 0 | x^2 + 3x + 182/81 = 0
(x - -13/9)(x - -14/9) = 0
x - -13/9 = 0 or x - -14/9 = 0
x = -13/9
x = -14/9 |
Solve quickly: x^3 - 287/60x^2 + 97/24x - 5/8 = 0 | x^3 - 287/60x^2 + 97/24x - 5/8 = 0
(x - 15/4)(x - 5/6)(x - 1/5) = 0
x - 15/4 = 0
x - 5/6 = 0
x - 1/5 = 0
x = 15/4
x = 5/6
x = 1/5 |
Find the solution to x^3 - 115/36x^2 + 73/36x + 13/18 = 0 | x^3 - 115/36x^2 + 73/36x + 13/18 = 0
(x - 13/9)(x - 2)(x - -1/4) = 0
x - 13/9 = 0
x - 2 = 0
x - -1/4 = 0
x = 13/9
x = 2
x = -1/4 |
Compute the solution of x^3 + 51/4x^2 + 159/8x + 55/8 = 0 | x^3 + 51/4x^2 + 159/8x + 55/8 = 0
(x - -1/2)(x - -5/4)(x - -11) = 0
x - -1/2 = 0
x - -5/4 = 0
x - -11 = 0
x = -1/2
x = -5/4
x = -11 |
Solve quickly: 10x - 20 = 0 | 10x - 20 = 0
10x = 20
x = 20 / 10
x = 2 |
Solve the equations:
8x + 10y = 662/9
1x + 7y = 445/9 | 8x + 10y = 662/9
1x + 7y = 445/9
Using elimination
1*(8x + 10y = 662/9)
8*(1x + 7y = 445/9)
8x + 10y = 662/9
8x + 56y = 3560/9
Subtract equations
-46y = -322
y = -322/-46
y = 7
Substitute y
8x + 10(7) = 662/9
8x = 32/9
x = 32/9/8
x = 4/9 |
Find x for 2x - 10/3 = 0 | 2x - 10/3 = 0
2x = 10/3
x = 10/3 / 2
x = 5/3 |
Find x in x^3 - 53/6x^2 - 109/3x - 20 = 0 | x^3 - 53/6x^2 - 109/3x - 20 = 0
(x - 12)(x - -2/3)(x - -5/2) = 0
x - 12 = 0
x - -2/3 = 0
x - -5/2 = 0
x = 12
x = -2/3
x = -5/2 |
Solve the equations:
2x + 8y = 482/63
1x + 8y = 349/63 | 2x + 8y = 482/63
1x + 8y = 349/63
Using elimination
1*(2x + 8y = 482/63)
2*(1x + 8y = 349/63)
2x + 8y = 482/63
2x + 16y = 698/63
Subtract equations
-8y = -24/7
y = -24/7/-8
y = 3/7
Substitute y
2x + 8(3/7) = 482/63
2x = 38/9
x = 38/9/2
x = 19/9 |
Solve the equations:
3x + 6y = 156/5
3x + 5y = 131/5 | 3x + 6y = 156/5
3x + 5y = 131/5
Using elimination
3*(3x + 6y = 156/5)
3*(3x + 5y = 131/5)
9x + 18y = 468/5
9x + 15y = 393/5
Subtract equations
3y = 15
y = 15/3
y = 5
Substitute y
3x + 6(5) = 156/5
3x = 6/5
x = 6/5/3
x = 2/5 |
Determine x in x^2 + 45/7x + 68/7 = 0 | x^2 + 45/7x + 68/7 = 0
(x - -4)(x - -17/7) = 0
x - -4 = 0 or x - -17/7 = 0
x = -4
x = -17/7 |
What value of x satisfies 9x + 117/8 = 0 | 9x + 117/8 = 0
9x = -117/8
x = -117/8 / 9
x = -13/8 |
Determine x in x^3 - 97/15x^2 + 56/5x - 16/3 = 0 | x^3 - 97/15x^2 + 56/5x - 16/3 = 0
(x - 5/3)(x - 4/5)(x - 4) = 0
x - 5/3 = 0
x - 4/5 = 0
x - 4 = 0
x = 5/3
x = 4/5
x = 4 |
Solve quickly: x^3 + 61/45x^2 - 61/45x - 1 = 0 | x^3 + 61/45x^2 - 61/45x - 1 = 0
(x - -5/9)(x - -9/5)(x - 1) = 0
x - -5/9 = 0
x - -9/5 = 0
x - 1 = 0
x = -5/9
x = -9/5
x = 1 |
Solve simultaneously:
4x + 1y = 67/9
5x + 10y = 1265/9 | 4x + 1y = 67/9
5x + 10y = 1265/9
Using elimination
5*(4x + 1y = 67/9)
4*(5x + 10y = 1265/9)
20x + 5y = 335/9
20x + 40y = 5060/9
Subtract equations
-35y = -525
y = -525/-35
y = 15
Substitute y
4x + 1(15) = 67/9
4x = -68/9
x = -68/9/4
x = -17/9 |
Solve the equation x^2 + 3/2x - 27 = 0 | x^2 + 3/2x - 27 = 0
(x - 9/2)(x - -6) = 0
x - 9/2 = 0 or x - -6 = 0
x = 9/2
x = -6 |
Compute the solution of x^2 + 17/2x - 15 = 0 | x^2 + 17/2x - 15 = 0
(x - -10)(x - 3/2) = 0
x - -10 = 0 or x - 3/2 = 0
x = -10
x = 3/2 |
Find the solution to 7x - 7 = 0 | 7x - 7 = 0
7x = 7
x = 7 / 7
x = 1 |
Solve the equations:
8x + 10y = 34
4x + 2y = 67/5 | 8x + 10y = 34
4x + 2y = 67/5
Using elimination
4*(8x + 10y = 34)
8*(4x + 2y = 67/5)
32x + 40y = 136
32x + 16y = 536/5
Subtract equations
24y = 144/5
y = 144/5/24
y = 6/5
Substitute y
8x + 10(6/5) = 34
8x = 22
x = 22/8
x = 11/4 |
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