input stringlengths 13 66 | output stringlengths 30 276 |
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Solve the equations:
6x + 10y = 125/2
10x + 8y = 76 | 6x + 10y = 125/2
10x + 8y = 76
Using elimination
10*(6x + 10y = 125/2)
6*(10x + 8y = 76)
60x + 100y = 625
60x + 48y = 456
Subtract equations
52y = 169
y = 169/52
y = 13/4
Substitute y
6x + 10(13/4) = 125/2
6x = 30
x = 30/6
x = 5 |
Find the solution to x^2 + 20/9x + 4/9 = 0 | x^2 + 20/9x + 4/9 = 0
(x - -2/9)(x - -2) = 0
x - -2/9 = 0 or x - -2 = 0
x = -2/9
x = -2 |
Solve x^2 + 2/9x = 0 | x^2 + 2/9x = 0
(x - -2/9)(x - 0) = 0
x - -2/9 = 0 or x - 0 = 0
x = -2/9
x = 0 |
Solve 8x - 120/7 = 0 | 8x - 120/7 = 0
8x = 120/7
x = 120/7 / 8
x = 15/7 |
Solve quickly: x^2 - 27/20x - 81/10 = 0 | x^2 - 27/20x - 81/10 = 0
(x - -9/4)(x - 18/5) = 0
x - -9/4 = 0 or x - 18/5 = 0
x = -9/4
x = 18/5 |
Solve x^3 + 4x^2 + 21/4x + 9/4 = 0 | x^3 + 4x^2 + 21/4x + 9/4 = 0
(x - -1)(x - -3/2)(x - -3/2) = 0
x - -1 = 0
x - -3/2 = 0
x - -3/2 = 0
x = -1
x = -3/2
x = -3/2 |
Solve quickly: 6x + 57/2 = 0 | 6x + 57/2 = 0
6x = -57/2
x = -57/2 / 6
x = -19/4 |
Find x and y such that
6x + 6y = -36
2x + 1y = -15 | 6x + 6y = -36
2x + 1y = -15
Using elimination
2*(6x + 6y = -36)
6*(2x + 1y = -15)
12x + 12y = -72
12x + 6y = -90
Subtract equations
6y = 18
y = 18/6
y = 3
Substitute y
6x + 6(3) = -36
6x = -54
x = -54/6
x = -9 |
Find x and y such that
3x + 7y = 4
5x + 7y = 2 | 3x + 7y = 4
5x + 7y = 2
Using elimination
5*(3x + 7y = 4)
3*(5x + 7y = 2)
15x + 35y = 20
15x + 21y = 6
Subtract equations
14y = 14
y = 14/14
y = 1
Substitute y
3x + 7(1) = 4
3x = -3
x = -3/3
x = -1 |
Solve quickly: x^3 + 73/36x^2 - 1/2x = 0 | x^3 + 73/36x^2 - 1/2x = 0
(x - 0)(x - -9/4)(x - 2/9) = 0
x - 0 = 0
x - -9/4 = 0
x - 2/9 = 0
x = 0
x = -9/4
x = 2/9 |
Compute the solution of x^2 - 8/3x + 140/81 = 0 | x^2 - 8/3x + 140/81 = 0
(x - 10/9)(x - 14/9) = 0
x - 10/9 = 0 or x - 14/9 = 0
x = 10/9
x = 14/9 |
Find x in x^2 + 9x + 18 = 0 | x^2 + 9x + 18 = 0
(x - -6)(x - -3) = 0
x - -6 = 0 or x - -3 = 0
x = -6
x = -3 |
Find the solution to x^2 - 25/18x - 152/27 = 0 | x^2 - 25/18x - 152/27 = 0
(x - -16/9)(x - 19/6) = 0
x - -16/9 = 0 or x - 19/6 = 0
x = -16/9
x = 19/6 |
Compute the solution of x^2 + 7/9x - 136/27 = 0 | x^2 + 7/9x - 136/27 = 0
(x - -8/3)(x - 17/9) = 0
x - -8/3 = 0 or x - 17/9 = 0
x = -8/3
x = 17/9 |
Compute the solution of x^3 + 33/4x^2 - 185/2x + 525/4 = 0 | x^3 + 33/4x^2 - 185/2x + 525/4 = 0
(x - 5)(x - -15)(x - 7/4) = 0
x - 5 = 0
x - -15 = 0
x - 7/4 = 0
x = 5
x = -15
x = 7/4 |
Find the solution to x^3 - 9x = 0 | x^3 - 9x = 0
(x - 0)(x - -3)(x - 3) = 0
x - 0 = 0
x - -3 = 0
x - 3 = 0
x = 0
x = -3
x = 3 |
Find x for x^2 + 83/24x + 17/6 = 0 | x^2 + 83/24x + 17/6 = 0
(x - -4/3)(x - -17/8) = 0
x - -4/3 = 0 or x - -17/8 = 0
x = -4/3
x = -17/8 |
What value of x satisfies 1x + 11/4 = 0 | 1x + 11/4 = 0
1x = -11/4
x = -11/4 / 1
x = -11/4 |
Find x in 2x - 11/4 = 0 | 2x - 11/4 = 0
2x = 11/4
x = 11/4 / 2
x = 11/8 |
Solve the equation x^3 + 58/35x^2 - 313/35x + 12/7 = 0 | x^3 + 58/35x^2 - 313/35x + 12/7 = 0
(x - 15/7)(x - -4)(x - 1/5) = 0
x - 15/7 = 0
x - -4 = 0
x - 1/5 = 0
x = 15/7
x = -4
x = 1/5 |
Solve the equations:
2x + 6y = 68/5
8x + 7y = 136/5 | 2x + 6y = 68/5
8x + 7y = 136/5
Using elimination
8*(2x + 6y = 68/5)
2*(8x + 7y = 136/5)
16x + 48y = 544/5
16x + 14y = 272/5
Subtract equations
34y = 272/5
y = 272/5/34
y = 8/5
Substitute y
2x + 6(8/5) = 68/5
2x = 4
x = 4/2
x = 2 |
Solve the equation 2x + 40/7 = 0 | 2x + 40/7 = 0
2x = -40/7
x = -40/7 / 2
x = -20/7 |
Compute the solution of x^3 - 5/4x^2 - 63/8x - 45/8 = 0 | x^3 - 5/4x^2 - 63/8x - 45/8 = 0
(x - 15/4)(x - -1)(x - -3/2) = 0
x - 15/4 = 0
x - -1 = 0
x - -3/2 = 0
x = 15/4
x = -1
x = -3/2 |
Solve 1x + 3 = 0 | 1x + 3 = 0
1x = -3
x = -3 / 1
x = -3 |
Solve the equations:
9x + 5y = 96/5
6x + 2y = 48/5 | 9x + 5y = 96/5
6x + 2y = 48/5
Using elimination
6*(9x + 5y = 96/5)
9*(6x + 2y = 48/5)
54x + 30y = 576/5
54x + 18y = 432/5
Subtract equations
12y = 144/5
y = 144/5/12
y = 12/5
Substitute y
9x + 5(12/5) = 96/5
9x = 36/5
x = 36/5/9
x = 4/5 |
Solve the system:
4x + 1y = -174/5
9x + 2y = -393/5 | 4x + 1y = -174/5
9x + 2y = -393/5
Using elimination
9*(4x + 1y = -174/5)
4*(9x + 2y = -393/5)
36x + 9y = -1566/5
36x + 8y = -1572/5
Subtract equations
1y = 6/5
y = 6/5/1
y = 6/5
Substitute y
4x + 1(6/5) = -174/5
4x = -36
x = -36/4
x = -9 |
Determine x in x^3 - 23/9x^2 + 76/81x = 0 | x^3 - 23/9x^2 + 76/81x = 0
(x - 19/9)(x - 4/9)(x - 0) = 0
x - 19/9 = 0
x - 4/9 = 0
x - 0 = 0
x = 19/9
x = 4/9
x = 0 |
What value of x satisfies 3x + 9/4 = 0 | 3x + 9/4 = 0
3x = -9/4
x = -9/4 / 3
x = -3/4 |
Solve the equations:
2x + 4y = 29/5
2x + 2y = 19/5 | 2x + 4y = 29/5
2x + 2y = 19/5
Using elimination
2*(2x + 4y = 29/5)
2*(2x + 2y = 19/5)
4x + 8y = 58/5
4x + 4y = 38/5
Subtract equations
4y = 4
y = 4/4
y = 1
Substitute y
2x + 4(1) = 29/5
2x = 9/5
x = 9/5/2
x = 9/10 |
Solve quickly: x^2 - 151/8x + 63/4 = 0 | x^2 - 151/8x + 63/4 = 0
(x - 7/8)(x - 18) = 0
x - 7/8 = 0 or x - 18 = 0
x = 7/8
x = 18 |
Solve the equation 9x + 13 = 0 | 9x + 13 = 0
9x = -13
x = -13 / 9
x = -13/9 |
Solve quickly: x^3 - 47/10x^2 - 71/80x + 91/5 = 0 | x^3 - 47/10x^2 - 71/80x + 91/5 = 0
(x - 13/4)(x - -7/4)(x - 16/5) = 0
x - 13/4 = 0
x - -7/4 = 0
x - 16/5 = 0
x = 13/4
x = -7/4
x = 16/5 |
Solve the equation x^2 - 129/40x + 13/5 = 0 | x^2 - 129/40x + 13/5 = 0
(x - 13/8)(x - 8/5) = 0
x - 13/8 = 0 or x - 8/5 = 0
x = 13/8
x = 8/5 |
Find the solution to x^2 - 17/4x + 1 = 0 | x^2 - 17/4x + 1 = 0
(x - 4)(x - 1/4) = 0
x - 4 = 0 or x - 1/4 = 0
x = 4
x = 1/4 |
Solve quickly: x^3 - 7/5x^2 + 53/100x - 1/25 = 0 | x^3 - 7/5x^2 + 53/100x - 1/25 = 0
(x - 1/10)(x - 1/2)(x - 4/5) = 0
x - 1/10 = 0
x - 1/2 = 0
x - 4/5 = 0
x = 1/10
x = 1/2
x = 4/5 |
Find the solution to 2x - 9 = 0 | 2x - 9 = 0
2x = 9
x = 9 / 2
x = 9/2 |
Solve the equation x^2 - 29/18x - 19/18 = 0 | x^2 - 29/18x - 19/18 = 0
(x - 19/9)(x - -1/2) = 0
x - 19/9 = 0 or x - -1/2 = 0
x = 19/9
x = -1/2 |
Determine x in x^2 - 10/9x - 56/81 = 0 | x^2 - 10/9x - 56/81 = 0
(x - -4/9)(x - 14/9) = 0
x - -4/9 = 0 or x - 14/9 = 0
x = -4/9
x = 14/9 |
Solve the system:
3x + 10y = -1121/30
3x + 9y = -171/5 | 3x + 10y = -1121/30
3x + 9y = -171/5
Using elimination
3*(3x + 10y = -1121/30)
3*(3x + 9y = -171/5)
9x + 30y = -1121/10
9x + 27y = -513/5
Subtract equations
3y = -19/2
y = -19/2/3
y = -19/6
Substitute y
3x + 10(-19/6) = -1121/30
3x = -57/10
x = -57/10/3
x = -19/10 |
What value of x satisfies x^3 - 4/9x^2 - 85/36x + 7/6 = 0 | x^3 - 4/9x^2 - 85/36x + 7/6 = 0
(x - 3/2)(x - -14/9)(x - 1/2) = 0
x - 3/2 = 0
x - -14/9 = 0
x - 1/2 = 0
x = 3/2
x = -14/9
x = 1/2 |
Solve 3x + 12 = 0 | 3x + 12 = 0
3x = -12
x = -12 / 3
x = -4 |
Determine x in x^3 + 76/15x^2 + 32/5x = 0 | x^3 + 76/15x^2 + 32/5x = 0
(x - -12/5)(x - 0)(x - -8/3) = 0
x - -12/5 = 0
x - 0 = 0
x - -8/3 = 0
x = -12/5
x = 0
x = -8/3 |
Solve the system:
7x + 7y = 28
6x + 1y = 53/2 | 7x + 7y = 28
6x + 1y = 53/2
Using elimination
6*(7x + 7y = 28)
7*(6x + 1y = 53/2)
42x + 42y = 168
42x + 7y = 371/2
Subtract equations
35y = -35/2
y = -35/2/35
y = -1/2
Substitute y
7x + 7(-1/2) = 28
7x = 63/2
x = 63/2/7
x = 9/2 |
Find x for x^2 + 15/2x - 77/2 = 0 | x^2 + 15/2x - 77/2 = 0
(x - -11)(x - 7/2) = 0
x - -11 = 0 or x - 7/2 = 0
x = -11
x = 7/2 |
Solve x^3 - 73/5x^2 + 242/5x - 24 = 0 | x^3 - 73/5x^2 + 242/5x - 24 = 0
(x - 10)(x - 3/5)(x - 4) = 0
x - 10 = 0
x - 3/5 = 0
x - 4 = 0
x = 10
x = 3/5
x = 4 |
Find the solution to x^3 - 47/10x^2 + 1/10x + 18/5 = 0 | x^3 - 47/10x^2 + 1/10x + 18/5 = 0
(x - 1)(x - -4/5)(x - 9/2) = 0
x - 1 = 0
x - -4/5 = 0
x - 9/2 = 0
x = 1
x = -4/5
x = 9/2 |
Solve the equations:
8x + 10y = 8
6x + 5y = 11 | 8x + 10y = 8
6x + 5y = 11
Using elimination
6*(8x + 10y = 8)
8*(6x + 5y = 11)
48x + 60y = 48
48x + 40y = 88
Subtract equations
20y = -40
y = -40/20
y = -2
Substitute y
8x + 10(-2) = 8
8x = 28
x = 28/8
x = 7/2 |
Solve the equations:
7x + 9y = -99/8
2x + 7y = 47/8 | 7x + 9y = -99/8
2x + 7y = 47/8
Using elimination
2*(7x + 9y = -99/8)
7*(2x + 7y = 47/8)
14x + 18y = -99/4
14x + 49y = 329/8
Subtract equations
-31y = -527/8
y = -527/8/-31
y = 17/8
Substitute y
7x + 9(17/8) = -99/8
7x = -63/2
x = -63/2/7
x = -9/2 |
Find x for x^3 + 55/6x^2 - 9x - 20/3 = 0 | x^3 + 55/6x^2 - 9x - 20/3 = 0
(x - -1/2)(x - -10)(x - 4/3) = 0
x - -1/2 = 0
x - -10 = 0
x - 4/3 = 0
x = -1/2
x = -10
x = 4/3 |
Find x in 1x - 1 = 0 | 1x - 1 = 0
1x = 1
x = 1 / 1
x = 1 |
Find x for x^2 - 20/7x = 0 | x^2 - 20/7x = 0
(x - 0)(x - 20/7) = 0
x - 0 = 0 or x - 20/7 = 0
x = 0
x = 20/7 |
Find x for 1x + 13/4 = 0 | 1x + 13/4 = 0
1x = -13/4
x = -13/4 / 1
x = -13/4 |
Solve the system:
6x + 1y = 19/6
1x + 1y = 47/18 | 6x + 1y = 19/6
1x + 1y = 47/18
Using elimination
1*(6x + 1y = 19/6)
6*(1x + 1y = 47/18)
6x + 1y = 19/6
6x + 6y = 47/3
Subtract equations
-5y = -25/2
y = -25/2/-5
y = 5/2
Substitute y
6x + 1(5/2) = 19/6
6x = 2/3
x = 2/3/6
x = 1/9 |
Find x for 4x + 8 = 0 | 4x + 8 = 0
4x = -8
x = -8 / 4
x = -2 |
Compute the solution of 9x - 6 = 0 | 9x - 6 = 0
9x = 6
x = 6 / 9
x = 2/3 |
What value of x satisfies x^2 - 9/28x - 81/14 = 0 | x^2 - 9/28x - 81/14 = 0
(x - -9/4)(x - 18/7) = 0
x - -9/4 = 0 or x - 18/7 = 0
x = -9/4
x = 18/7 |
Solve quickly: x^3 - 568/35x^2 + 1559/35x - 234/7 = 0 | x^3 - 568/35x^2 + 1559/35x - 234/7 = 0
(x - 13)(x - 10/7)(x - 9/5) = 0
x - 13 = 0
x - 10/7 = 0
x - 9/5 = 0
x = 13
x = 10/7
x = 9/5 |
Find x for x^2 + 13/30x - 11/15 = 0 | x^2 + 13/30x - 11/15 = 0
(x - 2/3)(x - -11/10) = 0
x - 2/3 = 0 or x - -11/10 = 0
x = 2/3
x = -11/10 |
Find the solution to x^3 - 323/30x^2 + 121/12x + 741/40 = 0 | x^3 - 323/30x^2 + 121/12x + 741/40 = 0
(x - 19/2)(x - 13/6)(x - -9/10) = 0
x - 19/2 = 0
x - 13/6 = 0
x - -9/10 = 0
x = 19/2
x = 13/6
x = -9/10 |
Solve quickly: x^2 - 166/45x + 17/5 = 0 | x^2 - 166/45x + 17/5 = 0
(x - 9/5)(x - 17/9) = 0
x - 9/5 = 0 or x - 17/9 = 0
x = 9/5
x = 17/9 |
Solve the equation x^3 + 85/28x^2 + 7/4x - 9/14 = 0 | x^3 + 85/28x^2 + 7/4x - 9/14 = 0
(x - -2)(x - 1/4)(x - -9/7) = 0
x - -2 = 0
x - 1/4 = 0
x - -9/7 = 0
x = -2
x = 1/4
x = -9/7 |
Solve quickly: x^3 + 8/3x^2 - 5/9x - 28/9 = 0 | x^3 + 8/3x^2 - 5/9x - 28/9 = 0
(x - 1)(x - -7/3)(x - -4/3) = 0
x - 1 = 0
x - -7/3 = 0
x - -4/3 = 0
x = 1
x = -7/3
x = -4/3 |
Find x and y such that
7x + 1y = 53/3
4x + 3y = 74/3 | 7x + 1y = 53/3
4x + 3y = 74/3
Using elimination
4*(7x + 1y = 53/3)
7*(4x + 3y = 74/3)
28x + 4y = 212/3
28x + 21y = 518/3
Subtract equations
-17y = -102
y = -102/-17
y = 6
Substitute y
7x + 1(6) = 53/3
7x = 35/3
x = 35/3/7
x = 5/3 |
Find x in x^2 + 269/63x + 38/9 = 0 | x^2 + 269/63x + 38/9 = 0
(x - -14/9)(x - -19/7) = 0
x - -14/9 = 0 or x - -19/7 = 0
x = -14/9
x = -19/7 |
What value of x satisfies x^3 - 25/12x^2 - 191/36x + 10 = 0 | x^3 - 25/12x^2 - 191/36x + 10 = 0
(x - -9/4)(x - 8/3)(x - 5/3) = 0
x - -9/4 = 0
x - 8/3 = 0
x - 5/3 = 0
x = -9/4
x = 8/3
x = 5/3 |
What value of x satisfies 7x - 7/2 = 0 | 7x - 7/2 = 0
7x = 7/2
x = 7/2 / 7
x = 1/2 |
Find x in x^2 - 24/35x - 27/35 = 0 | x^2 - 24/35x - 27/35 = 0
(x - -3/5)(x - 9/7) = 0
x - -3/5 = 0 or x - 9/7 = 0
x = -3/5
x = 9/7 |
Solve quickly: x^2 - 4x = 0 | x^2 - 4x = 0
(x - 0)(x - 4) = 0
x - 0 = 0 or x - 4 = 0
x = 0
x = 4 |
Solve quickly: 5x - 10 = 0 | 5x - 10 = 0
5x = 10
x = 10 / 5
x = 2 |
Determine x in x^2 + 10x + 9 = 0 | x^2 + 10x + 9 = 0
(x - -9)(x - -1) = 0
x - -9 = 0 or x - -1 = 0
x = -9
x = -1 |
Find x for 7x - 91/10 = 0 | 7x - 91/10 = 0
7x = 91/10
x = 91/10 / 7
x = 13/10 |
Find x in x^3 + 44/45x^2 - 359/135x - 76/135 = 0 | x^3 + 44/45x^2 - 359/135x - 76/135 = 0
(x - -1/5)(x - 4/3)(x - -19/9) = 0
x - -1/5 = 0
x - 4/3 = 0
x - -19/9 = 0
x = -1/5
x = 4/3
x = -19/9 |
Determine x in x^3 - 94/35x^2 + 481/245x - 8/35 = 0 | x^3 - 94/35x^2 + 481/245x - 8/35 = 0
(x - 8/7)(x - 1/7)(x - 7/5) = 0
x - 8/7 = 0
x - 1/7 = 0
x - 7/5 = 0
x = 8/7
x = 1/7
x = 7/5 |
Solve quickly: 6x - 15/4 = 0 | 6x - 15/4 = 0
6x = 15/4
x = 15/4 / 6
x = 5/8 |
Find x in x^2 + 1/8x - 17/4 = 0 | x^2 + 1/8x - 17/4 = 0
(x - 2)(x - -17/8) = 0
x - 2 = 0 or x - -17/8 = 0
x = 2
x = -17/8 |
Compute the solution of x^3 - 7/2x^2 - 7x + 20 = 0 | x^3 - 7/2x^2 - 7x + 20 = 0
(x - 4)(x - -5/2)(x - 2) = 0
x - 4 = 0
x - -5/2 = 0
x - 2 = 0
x = 4
x = -5/2
x = 2 |
Solve x^3 - 337/40x^2 + 89/4x - 91/5 = 0 | x^3 - 337/40x^2 + 89/4x - 91/5 = 0
(x - 4)(x - 13/8)(x - 14/5) = 0
x - 4 = 0
x - 13/8 = 0
x - 14/5 = 0
x = 4
x = 13/8
x = 14/5 |
Find x for x^3 - 59/8x^2 + 7/32x + 539/32 = 0 | x^3 - 59/8x^2 + 7/32x + 539/32 = 0
(x - 7)(x - 7/4)(x - -11/8) = 0
x - 7 = 0
x - 7/4 = 0
x - -11/8 = 0
x = 7
x = 7/4
x = -11/8 |
Determine x in 6x + 38/3 = 0 | 6x + 38/3 = 0
6x = -38/3
x = -38/3 / 6
x = -19/9 |
Find x for 8x + 80/3 = 0 | 8x + 80/3 = 0
8x = -80/3
x = -80/3 / 8
x = -10/3 |
Find x for x^2 - 71/10x + 44/5 = 0 | x^2 - 71/10x + 44/5 = 0
(x - 8/5)(x - 11/2) = 0
x - 8/5 = 0 or x - 11/2 = 0
x = 8/5
x = 11/2 |
Find x for x^2 - 41/10x + 91/25 = 0 | x^2 - 41/10x + 91/25 = 0
(x - 14/5)(x - 13/10) = 0
x - 14/5 = 0 or x - 13/10 = 0
x = 14/5
x = 13/10 |
Find x and y such that
6x + 8y = 32
3x + 8y = -22 | 6x + 8y = 32
3x + 8y = -22
Using elimination
3*(6x + 8y = 32)
6*(3x + 8y = -22)
18x + 24y = 96
18x + 48y = -132
Subtract equations
-24y = 228
y = 228/-24
y = -19/2
Substitute y
6x + 8(-19/2) = 32
6x = 108
x = 108/6
x = 18 |
Determine x in x^3 + 22x^2 + 57x = 0 | x^3 + 22x^2 + 57x = 0
(x - 0)(x - -19)(x - -3) = 0
x - 0 = 0
x - -19 = 0
x - -3 = 0
x = 0
x = -19
x = -3 |
What value of x satisfies x^3 + 11/2x^2 + 39/16x - 171/32 = 0 | x^3 + 11/2x^2 + 39/16x - 171/32 = 0
(x - -19/4)(x - 3/4)(x - -3/2) = 0
x - -19/4 = 0
x - 3/4 = 0
x - -3/2 = 0
x = -19/4
x = 3/4
x = -3/2 |
Solve simultaneously:
6x + 1y = 209/21
8x + 7y = 83/9 | 6x + 1y = 209/21
8x + 7y = 83/9
Using elimination
8*(6x + 1y = 209/21)
6*(8x + 7y = 83/9)
48x + 8y = 1672/21
48x + 42y = 166/3
Subtract equations
-34y = 170/7
y = 170/7/-34
y = -5/7
Substitute y
6x + 1(-5/7) = 209/21
6x = 32/3
x = 32/3/6
x = 16/9 |
Find x and y such that
10x + 8y = 14
2x + 8y = 142/5 | 10x + 8y = 14
2x + 8y = 142/5
Using elimination
2*(10x + 8y = 14)
10*(2x + 8y = 142/5)
20x + 16y = 28
20x + 80y = 284
Subtract equations
-64y = -256
y = -256/-64
y = 4
Substitute y
10x + 8(4) = 14
10x = -18
x = -18/10
x = -9/5 |
Solve the equations:
4x + 8y = 28
4x + 2y = -2 | 4x + 8y = 28
4x + 2y = -2
Using elimination
4*(4x + 8y = 28)
4*(4x + 2y = -2)
16x + 32y = 112
16x + 8y = -8
Subtract equations
24y = 120
y = 120/24
y = 5
Substitute y
4x + 8(5) = 28
4x = -12
x = -12/4
x = -3 |
Find x for x^2 + 9/2x + 7/2 = 0 | x^2 + 9/2x + 7/2 = 0
(x - -1)(x - -7/2) = 0
x - -1 = 0 or x - -7/2 = 0
x = -1
x = -7/2 |
Solve the equations:
2x + 8y = -92/5
2x + 7y = -323/20 | 2x + 8y = -92/5
2x + 7y = -323/20
Using elimination
2*(2x + 8y = -92/5)
2*(2x + 7y = -323/20)
4x + 16y = -184/5
4x + 14y = -323/10
Subtract equations
2y = -9/2
y = -9/2/2
y = -9/4
Substitute y
2x + 8(-9/4) = -92/5
2x = -2/5
x = -2/5/2
x = -1/5 |
Solve the system:
3x + 8y = -151/20
7x + 1y = 213/20 | 3x + 8y = -151/20
7x + 1y = 213/20
Using elimination
7*(3x + 8y = -151/20)
3*(7x + 1y = 213/20)
21x + 56y = -1057/20
21x + 3y = 639/20
Subtract equations
53y = -424/5
y = -424/5/53
y = -8/5
Substitute y
3x + 8(-8/5) = -151/20
3x = 21/4
x = 21/4/3
x = 7/4 |
Find x in x^3 - 236/21x^2 + 60/7x + 800/21 = 0 | x^3 - 236/21x^2 + 60/7x + 800/21 = 0
(x - 8/3)(x - -10/7)(x - 10) = 0
x - 8/3 = 0
x - -10/7 = 0
x - 10 = 0
x = 8/3
x = -10/7
x = 10 |
Solve 2x - 20/9 = 0 | 2x - 20/9 = 0
2x = 20/9
x = 20/9 / 2
x = 10/9 |
Determine x in x^2 + 11/4x + 9/8 = 0 | x^2 + 11/4x + 9/8 = 0
(x - -1/2)(x - -9/4) = 0
x - -1/2 = 0 or x - -9/4 = 0
x = -1/2
x = -9/4 |
Find the solution to 8x + 160/9 = 0 | 8x + 160/9 = 0
8x = -160/9
x = -160/9 / 8
x = -20/9 |
Find x in x^2 - 5/7x = 0 | x^2 - 5/7x = 0
(x - 5/7)(x - 0) = 0
x - 5/7 = 0 or x - 0 = 0
x = 5/7
x = 0 |
Find the solution to x^3 - 14x^2 - 1469/16x - 969/16 = 0 | x^3 - 14x^2 - 1469/16x - 969/16 = 0
(x - 19)(x - -17/4)(x - -3/4) = 0
x - 19 = 0
x - -17/4 = 0
x - -3/4 = 0
x = 19
x = -17/4
x = -3/4 |
Solve the system:
9x + 1y = 13/3
7x + 9y = 43/3 | 9x + 1y = 13/3
7x + 9y = 43/3
Using elimination
7*(9x + 1y = 13/3)
9*(7x + 9y = 43/3)
63x + 7y = 91/3
63x + 81y = 129
Subtract equations
-74y = -296/3
y = -296/3/-74
y = 4/3
Substitute y
9x + 1(4/3) = 13/3
9x = 3
x = 3/9
x = 1/3 |
Solve the system:
5x + 8y = 185/6
7x + 10y = 235/6 | 5x + 8y = 185/6
7x + 10y = 235/6
Using elimination
7*(5x + 8y = 185/6)
5*(7x + 10y = 235/6)
35x + 56y = 1295/6
35x + 50y = 1175/6
Subtract equations
6y = 20
y = 20/6
y = 10/3
Substitute y
5x + 8(10/3) = 185/6
5x = 25/6
x = 25/6/5
x = 5/6 |
Find x for x^2 - 92/35x - 64/35 = 0 | x^2 - 92/35x - 64/35 = 0
(x - 16/5)(x - -4/7) = 0
x - 16/5 = 0 or x - -4/7 = 0
x = 16/5
x = -4/7 |
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