input stringlengths 13 66 | output stringlengths 30 276 |
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Solve quickly: x^3 - 57/10x^2 - 2071/10x - 1287/5 = 0 | x^3 - 57/10x^2 - 2071/10x - 1287/5 = 0
(x - 18)(x - -13/10)(x - -11) = 0
x - 18 = 0
x - -13/10 = 0
x - -11 = 0
x = 18
x = -13/10
x = -11 |
Determine x in 3x - 18 = 0 | 3x - 18 = 0
3x = 18
x = 18 / 3
x = 6 |
Solve the equation x^2 + 3x - 28 = 0 | x^2 + 3x - 28 = 0
(x - 4)(x - -7) = 0
x - 4 = 0 or x - -7 = 0
x = 4
x = -7 |
Determine x in 2x - 34/9 = 0 | 2x - 34/9 = 0
2x = 34/9
x = 34/9 / 2
x = 17/9 |
Solve simultaneously:
5x + 1y = -119/2
7x + 9y = -311/2 | 5x + 1y = -119/2
7x + 9y = -311/2
Using elimination
7*(5x + 1y = -119/2)
5*(7x + 9y = -311/2)
35x + 7y = -833/2
35x + 45y = -1555/2
Subtract equations
-38y = 361
y = 361/-38
y = -19/2
Substitute y
5x + 1(-19/2) = -119/2
5x = -50
x = -50/5
x = -10 |
Solve x^2 - 20x + 36 = 0 | x^2 - 20x + 36 = 0
(x - 18)(x - 2) = 0
x - 18 = 0 or x - 2 = 0
x = 18
x = 2 |
Determine x in x^3 - 71/18x^2 + 253/54x - 40/27 = 0 | x^3 - 71/18x^2 + 253/54x - 40/27 = 0
(x - 16/9)(x - 5/3)(x - 1/2) = 0
x - 16/9 = 0
x - 5/3 = 0
x - 1/2 = 0
x = 16/9
x = 5/3
x = 1/2 |
Solve x^2 + 133/9x + 208/9 = 0 | x^2 + 133/9x + 208/9 = 0
(x - -16/9)(x - -13) = 0
x - -16/9 = 0 or x - -13 = 0
x = -16/9
x = -13 |
Solve the equation 10x + 20/3 = 0 | 10x + 20/3 = 0
10x = -20/3
x = -20/3 / 10
x = -2/3 |
Compute the solution of x^2 - 31/24x - 13/24 = 0 | x^2 - 31/24x - 13/24 = 0
(x - 13/8)(x - -1/3) = 0
x - 13/8 = 0 or x - -1/3 = 0
x = 13/8
x = -1/3 |
Solve the equation 2x - 12/5 = 0 | 2x - 12/5 = 0
2x = 12/5
x = 12/5 / 2
x = 6/5 |
Solve the system:
4x + 4y = 28
1x + 6y = 32 | 4x + 4y = 28
1x + 6y = 32
Using elimination
1*(4x + 4y = 28)
4*(1x + 6y = 32)
4x + 4y = 28
4x + 24y = 128
Subtract equations
-20y = -100
y = -100/-20
y = 5
Substitute y
4x + 4(5) = 28
4x = 8
x = 8/4
x = 2 |
Solve simultaneously:
5x + 7y = 14
9x + 4y = -46/5 | 5x + 7y = 14
9x + 4y = -46/5
Using elimination
9*(5x + 7y = 14)
5*(9x + 4y = -46/5)
45x + 63y = 126
45x + 20y = -46
Subtract equations
43y = 172
y = 172/43
y = 4
Substitute y
5x + 7(4) = 14
5x = -14
x = -14/5
x = -14/5 |
What value of x satisfies x^2 + 25/14x - 8/7 = 0 | x^2 + 25/14x - 8/7 = 0
(x - -16/7)(x - 1/2) = 0
x - -16/7 = 0 or x - 1/2 = 0
x = -16/7
x = 1/2 |
Solve 7x - 77/9 = 0 | 7x - 77/9 = 0
7x = 77/9
x = 77/9 / 7
x = 11/9 |
What value of x satisfies 9x - 21/2 = 0 | 9x - 21/2 = 0
9x = 21/2
x = 21/2 / 9
x = 7/6 |
Solve the equation x^2 - 33/5x - 14/5 = 0 | x^2 - 33/5x - 14/5 = 0
(x - -2/5)(x - 7) = 0
x - -2/5 = 0 or x - 7 = 0
x = -2/5
x = 7 |
Solve quickly: x^2 + 1/15x - 28/5 = 0 | x^2 + 1/15x - 28/5 = 0
(x - 7/3)(x - -12/5) = 0
x - 7/3 = 0 or x - -12/5 = 0
x = 7/3
x = -12/5 |
Solve x^2 - 24/7x + 20/7 = 0 | x^2 - 24/7x + 20/7 = 0
(x - 2)(x - 10/7) = 0
x - 2 = 0 or x - 10/7 = 0
x = 2
x = 10/7 |
Solve quickly: x^2 + 13/7x - 24/7 = 0 | x^2 + 13/7x - 24/7 = 0
(x - 8/7)(x - -3) = 0
x - 8/7 = 0 or x - -3 = 0
x = 8/7
x = -3 |
Solve quickly: 7x + 133 = 0 | 7x + 133 = 0
7x = -133
x = -133 / 7
x = -19 |
Find x and y such that
7x + 9y = 167/2
5x + 3y = 37/2 | 7x + 9y = 167/2
5x + 3y = 37/2
Using elimination
5*(7x + 9y = 167/2)
7*(5x + 3y = 37/2)
35x + 45y = 835/2
35x + 21y = 259/2
Subtract equations
24y = 288
y = 288/24
y = 12
Substitute y
7x + 9(12) = 167/2
7x = -49/2
x = -49/2/7
x = -7/2 |
Find x for x^2 + 7/10x - 13/5 = 0 | x^2 + 7/10x - 13/5 = 0
(x - -2)(x - 13/10) = 0
x - -2 = 0 or x - 13/10 = 0
x = -2
x = 13/10 |
Compute the solution of 7x + 70/9 = 0 | 7x + 70/9 = 0
7x = -70/9
x = -70/9 / 7
x = -10/9 |
Find x in x^2 + 104/9x - 169/9 = 0 | x^2 + 104/9x - 169/9 = 0
(x - -13)(x - 13/9) = 0
x - -13 = 0 or x - 13/9 = 0
x = -13
x = 13/9 |
Solve quickly: 3x - 39/10 = 0 | 3x - 39/10 = 0
3x = 39/10
x = 39/10 / 3
x = 13/10 |
Find x for x^2 + 8x + 15 = 0 | x^2 + 8x + 15 = 0
(x - -3)(x - -5) = 0
x - -3 = 0 or x - -5 = 0
x = -3
x = -5 |
Compute the solution of 3x - 3/10 = 0 | 3x - 3/10 = 0
3x = 3/10
x = 3/10 / 3
x = 1/10 |
Solve simultaneously:
1x + 3y = 159/14
3x + 3y = 239/14 | 1x + 3y = 159/14
3x + 3y = 239/14
Using elimination
3*(1x + 3y = 159/14)
1*(3x + 3y = 239/14)
3x + 9y = 477/14
3x + 3y = 239/14
Subtract equations
6y = 17
y = 17/6
y = 17/6
Substitute y
1x + 3(17/6) = 159/14
1x = 20/7
x = 20/7/1
x = 20/7 |
Find the solution to x^3 - 43/6x^2 - 208/3x - 169/2 = 0 | x^3 - 43/6x^2 - 208/3x - 169/2 = 0
(x - -3/2)(x - -13/3)(x - 13) = 0
x - -3/2 = 0
x - -13/3 = 0
x - 13 = 0
x = -3/2
x = -13/3
x = 13 |
Compute the solution of x^3 + 175/36x^2 + 17/9x - 56/9 = 0 | x^3 + 175/36x^2 + 17/9x - 56/9 = 0
(x - -7/4)(x - -4)(x - 8/9) = 0
x - -7/4 = 0
x - -4 = 0
x - 8/9 = 0
x = -7/4
x = -4
x = 8/9 |
Solve the equations:
10x + 2y = -88/5
6x + 7y = -123/10 | 10x + 2y = -88/5
6x + 7y = -123/10
Using elimination
6*(10x + 2y = -88/5)
10*(6x + 7y = -123/10)
60x + 12y = -528/5
60x + 70y = -123
Subtract equations
-58y = 87/5
y = 87/5/-58
y = -3/10
Substitute y
10x + 2(-3/10) = -88/5
10x = -17
x = -17/10
x = -17/10 |
Solve simultaneously:
5x + 10y = 85/4
9x + 9y = 63/4 | 5x + 10y = 85/4
9x + 9y = 63/4
Using elimination
9*(5x + 10y = 85/4)
5*(9x + 9y = 63/4)
45x + 90y = 765/4
45x + 45y = 315/4
Subtract equations
45y = 225/2
y = 225/2/45
y = 5/2
Substitute y
5x + 10(5/2) = 85/4
5x = -15/4
x = -15/4/5
x = -3/4 |
Find x in x^2 - 9/10x - 4 = 0 | x^2 - 9/10x - 4 = 0
(x - -8/5)(x - 5/2) = 0
x - -8/5 = 0 or x - 5/2 = 0
x = -8/5
x = 5/2 |
What value of x satisfies x^3 + 25/7x^2 - 83/7x - 165/7 = 0 | x^3 + 25/7x^2 - 83/7x - 165/7 = 0
(x - -5)(x - -11/7)(x - 3) = 0
x - -5 = 0
x - -11/7 = 0
x - 3 = 0
x = -5
x = -11/7
x = 3 |
Solve the equation 1x + 19/10 = 0 | 1x + 19/10 = 0
1x = -19/10
x = -19/10 / 1
x = -19/10 |
Find the solution to 10x - 5 = 0 | 10x - 5 = 0
10x = 5
x = 5 / 10
x = 1/2 |
Solve quickly: x^2 + 19/9x - 40/27 = 0 | x^2 + 19/9x - 40/27 = 0
(x - 5/9)(x - -8/3) = 0
x - 5/9 = 0 or x - -8/3 = 0
x = 5/9
x = -8/3 |
Find x in x^2 - 101/24x + 209/48 = 0 | x^2 - 101/24x + 209/48 = 0
(x - 19/8)(x - 11/6) = 0
x - 19/8 = 0 or x - 11/6 = 0
x = 19/8
x = 11/6 |
Find the solution to x^3 - 41/12x^2 - 223/12x + 119/2 = 0 | x^3 - 41/12x^2 - 223/12x + 119/2 = 0
(x - 3)(x - -17/4)(x - 14/3) = 0
x - 3 = 0
x - -17/4 = 0
x - 14/3 = 0
x = 3
x = -17/4
x = 14/3 |
Solve the equation x^2 - 14x + 24 = 0 | x^2 - 14x + 24 = 0
(x - 12)(x - 2) = 0
x - 12 = 0 or x - 2 = 0
x = 12
x = 2 |
Find x for x^2 + 121/9x + 52/3 = 0 | x^2 + 121/9x + 52/3 = 0
(x - -13/9)(x - -12) = 0
x - -13/9 = 0 or x - -12 = 0
x = -13/9
x = -12 |
Compute the solution of x^3 - 213/8x^2 + 1039/8x + 105/2 = 0 | x^3 - 213/8x^2 + 1039/8x + 105/2 = 0
(x - -3/8)(x - 7)(x - 20) = 0
x - -3/8 = 0
x - 7 = 0
x - 20 = 0
x = -3/8
x = 7
x = 20 |
Solve simultaneously:
6x + 4y = -538/9
2x + 7y = -253/9 | 6x + 4y = -538/9
2x + 7y = -253/9
Using elimination
2*(6x + 4y = -538/9)
6*(2x + 7y = -253/9)
12x + 8y = -1076/9
12x + 42y = -506/3
Subtract equations
-34y = 442/9
y = 442/9/-34
y = -13/9
Substitute y
6x + 4(-13/9) = -538/9
6x = -54
x = -54/6
x = -9 |
Find x for 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 5x + 65/6 = 0 | 5x + 65/6 = 0
5x = -65/6
x = -65/6 / 5
x = -13/6 |
What value of x satisfies x^3 + 12/7x^2 - 655/448x + 57/224 = 0 | x^3 + 12/7x^2 - 655/448x + 57/224 = 0
(x - -19/8)(x - 3/8)(x - 2/7) = 0
x - -19/8 = 0
x - 3/8 = 0
x - 2/7 = 0
x = -19/8
x = 3/8
x = 2/7 |
Find the solution to 3x + 51/8 = 0 | 3x + 51/8 = 0
3x = -51/8
x = -51/8 / 3
x = -17/8 |
Solve the system:
6x + 8y = -164/3
4x + 6y = -37 | 6x + 8y = -164/3
4x + 6y = -37
Using elimination
4*(6x + 8y = -164/3)
6*(4x + 6y = -37)
24x + 32y = -656/3
24x + 36y = -222
Subtract equations
-4y = 10/3
y = 10/3/-4
y = -5/6
Substitute y
6x + 8(-5/6) = -164/3
6x = -48
x = -48/6
x = -8 |
Solve quickly: x^2 + 15x - 76 = 0 | x^2 + 15x - 76 = 0
(x - -19)(x - 4) = 0
x - -19 = 0 or x - 4 = 0
x = -19
x = 4 |
Find the solution to x^2 + 3x + 20/49 = 0 | x^2 + 3x + 20/49 = 0
(x - -20/7)(x - -1/7) = 0
x - -20/7 = 0 or x - -1/7 = 0
x = -20/7
x = -1/7 |
What value of x satisfies 7x - 7/3 = 0 | 7x - 7/3 = 0
7x = 7/3
x = 7/3 / 7
x = 1/3 |
Solve 9x + 4 = 0 | 9x + 4 = 0
9x = -4
x = -4 / 9
x = -4/9 |
Find x for x^3 - 71/4x^2 + 115/4x - 12 = 0 | x^3 - 71/4x^2 + 115/4x - 12 = 0
(x - 16)(x - 3/4)(x - 1) = 0
x - 16 = 0
x - 3/4 = 0
x - 1 = 0
x = 16
x = 3/4
x = 1 |
Find x for 8x + 160 = 0 | 8x + 160 = 0
8x = -160
x = -160 / 8
x = -20 |
Find x in x^2 - 53/35x - 114/35 = 0 | x^2 - 53/35x - 114/35 = 0
(x - 19/7)(x - -6/5) = 0
x - 19/7 = 0 or x - -6/5 = 0
x = 19/7
x = -6/5 |
Find x in x^2 - 3x - 10/9 = 0 | x^2 - 3x - 10/9 = 0
(x - -1/3)(x - 10/3) = 0
x - -1/3 = 0 or x - 10/3 = 0
x = -1/3
x = 10/3 |
Solve the equation 6x + 10 = 0 | 6x + 10 = 0
6x = -10
x = -10 / 6
x = -5/3 |
Solve the equation 4x + 68/7 = 0 | 4x + 68/7 = 0
4x = -68/7
x = -68/7 / 4
x = -17/7 |
Solve simultaneously:
5x + 6y = -12
2x + 9y = -13/5 | 5x + 6y = -12
2x + 9y = -13/5
Using elimination
2*(5x + 6y = -12)
5*(2x + 9y = -13/5)
10x + 12y = -24
10x + 45y = -13
Subtract equations
-33y = -11
y = -11/-33
y = 1/3
Substitute y
5x + 6(1/3) = -12
5x = -14
x = -14/5
x = -14/5 |
Solve simultaneously:
1x + 7y = -129/8
6x + 10y = -131/4 | 1x + 7y = -129/8
6x + 10y = -131/4
Using elimination
6*(1x + 7y = -129/8)
1*(6x + 10y = -131/4)
6x + 42y = -387/4
6x + 10y = -131/4
Subtract equations
32y = -64
y = -64/32
y = -2
Substitute y
1x + 7(-2) = -129/8
1x = -17/8
x = -17/8/1
x = -17/8 |
Find the solution to 4x - 8/3 = 0 | 4x - 8/3 = 0
4x = 8/3
x = 8/3 / 4
x = 2/3 |
What value of x satisfies x^3 + 27/10x^2 + 2x + 3/10 = 0 | x^3 + 27/10x^2 + 2x + 3/10 = 0
(x - -3/2)(x - -1/5)(x - -1) = 0
x - -3/2 = 0
x - -1/5 = 0
x - -1 = 0
x = -3/2
x = -1/5
x = -1 |
Solve simultaneously:
3x + 8y = -20/3
3x + 9y = -15/2 | 3x + 8y = -20/3
3x + 9y = -15/2
Using elimination
3*(3x + 8y = -20/3)
3*(3x + 9y = -15/2)
9x + 24y = -20
9x + 27y = -45/2
Subtract equations
-3y = 5/2
y = 5/2/-3
y = -5/6
Substitute y
3x + 8(-5/6) = -20/3
3x = 0
x = 0/3
x = 0 |
Find the solution to x^3 + 36/5x^2 + 37/5x + 6/5 = 0 | x^3 + 36/5x^2 + 37/5x + 6/5 = 0
(x - -6)(x - -1/5)(x - -1) = 0
x - -6 = 0
x - -1/5 = 0
x - -1 = 0
x = -6
x = -1/5
x = -1 |
Find x for x^2 + 33/2x + 54 = 0 | x^2 + 33/2x + 54 = 0
(x - -9/2)(x - -12) = 0
x - -9/2 = 0 or x - -12 = 0
x = -9/2
x = -12 |
Solve the equation x^3 - 39/20x^2 - 173/20x + 9/5 = 0 | x^3 - 39/20x^2 - 173/20x + 9/5 = 0
(x - 4)(x - -9/4)(x - 1/5) = 0
x - 4 = 0
x - -9/4 = 0
x - 1/5 = 0
x = 4
x = -9/4
x = 1/5 |
Find the solution to x^2 - 21/4x + 5 = 0 | x^2 - 21/4x + 5 = 0
(x - 4)(x - 5/4) = 0
x - 4 = 0 or x - 5/4 = 0
x = 4
x = 5/4 |
Find x for x^3 - 113/63x^2 - 865/189x + 209/27 = 0 | x^3 - 113/63x^2 - 865/189x + 209/27 = 0
(x - 11/7)(x - 7/3)(x - -19/9) = 0
x - 11/7 = 0
x - 7/3 = 0
x - -19/9 = 0
x = 11/7
x = 7/3
x = -19/9 |
Find x and y such that
10x + 2y = 166/3
2x + 8y = -20/3 | 10x + 2y = 166/3
2x + 8y = -20/3
Using elimination
2*(10x + 2y = 166/3)
10*(2x + 8y = -20/3)
20x + 4y = 332/3
20x + 80y = -200/3
Subtract equations
-76y = 532/3
y = 532/3/-76
y = -7/3
Substitute y
10x + 2(-7/3) = 166/3
10x = 60
x = 60/10
x = 6 |
Compute the solution of x^2 - 33/2x - 95/2 = 0 | x^2 - 33/2x - 95/2 = 0
(x - 19)(x - -5/2) = 0
x - 19 = 0 or x - -5/2 = 0
x = 19
x = -5/2 |
Solve quickly: 3x + 14/3 = 0 | 3x + 14/3 = 0
3x = -14/3
x = -14/3 / 3
x = -14/9 |
Solve 10x - 40/3 = 0 | 10x - 40/3 = 0
10x = 40/3
x = 40/3 / 10
x = 4/3 |
Find the solution to x^2 - 62/3x + 48 = 0 | x^2 - 62/3x + 48 = 0
(x - 18)(x - 8/3) = 0
x - 18 = 0 or x - 8/3 = 0
x = 18
x = 8/3 |
Solve the equation 5x + 55 = 0 | 5x + 55 = 0
5x = -55
x = -55 / 5
x = -11 |
Find the solution to x^2 + 7/6x - 13/6 = 0 | x^2 + 7/6x - 13/6 = 0
(x - -13/6)(x - 1) = 0
x - -13/6 = 0 or x - 1 = 0
x = -13/6
x = 1 |
Find x in 1x - 1/2 = 0 | 1x - 1/2 = 0
1x = 1/2
x = 1/2 / 1
x = 1/2 |
Find x in x^3 - 49/12x^2 + 5/6x + 25/16 = 0 | x^3 - 49/12x^2 + 5/6x + 25/16 = 0
(x - 15/4)(x - -1/2)(x - 5/6) = 0
x - 15/4 = 0
x - -1/2 = 0
x - 5/6 = 0
x = 15/4
x = -1/2
x = 5/6 |
Solve the system:
4x + 6y = 191/15
3x + 5y = 21/2 | 4x + 6y = 191/15
3x + 5y = 21/2
Using elimination
3*(4x + 6y = 191/15)
4*(3x + 5y = 21/2)
12x + 18y = 191/5
12x + 20y = 42
Subtract equations
-2y = -19/5
y = -19/5/-2
y = 19/10
Substitute y
4x + 6(19/10) = 191/15
4x = 4/3
x = 4/3/4
x = 1/3 |
Find x for x^2 + 1/2x - 1/2 = 0 | x^2 + 1/2x - 1/2 = 0
(x - -1)(x - 1/2) = 0
x - -1 = 0 or x - 1/2 = 0
x = -1
x = 1/2 |
Find x for x^2 - 16/3x + 20/3 = 0 | x^2 - 16/3x + 20/3 = 0
(x - 2)(x - 10/3) = 0
x - 2 = 0 or x - 10/3 = 0
x = 2
x = 10/3 |
What value of x satisfies x^2 + 52/45x - 32/45 = 0 | x^2 + 52/45x - 32/45 = 0
(x - 4/9)(x - -8/5) = 0
x - 4/9 = 0 or x - -8/5 = 0
x = 4/9
x = -8/5 |
Solve quickly: x^3 + 1075/56x^2 - 1109/56x - 1045/14 = 0 | x^3 + 1075/56x^2 - 1109/56x - 1045/14 = 0
(x - 19/8)(x - -11/7)(x - -20) = 0
x - 19/8 = 0
x - -11/7 = 0
x - -20 = 0
x = 19/8
x = -11/7
x = -20 |
Find x and y such that
6x + 5y = -38/5
5x + 3y = -19/10 | 6x + 5y = -38/5
5x + 3y = -19/10
Using elimination
5*(6x + 5y = -38/5)
6*(5x + 3y = -19/10)
30x + 25y = -38
30x + 18y = -57/5
Subtract equations
7y = -133/5
y = -133/5/7
y = -19/5
Substitute y
6x + 5(-19/5) = -38/5
6x = 57/5
x = 57/5/6
x = 19/10 |
Find x and y such that
3x + 5y = 253/24
4x + 9y = 1411/72 | 3x + 5y = 253/24
4x + 9y = 1411/72
Using elimination
4*(3x + 5y = 253/24)
3*(4x + 9y = 1411/72)
12x + 20y = 253/6
12x + 27y = 1411/24
Subtract equations
-7y = -133/8
y = -133/8/-7
y = 19/8
Substitute y
3x + 5(19/8) = 253/24
3x = -4/3
x = -4/3/3
x = -4/9 |
Solve the system:
4x + 4y = 16/15
4x + 7y = 91/15 | 4x + 4y = 16/15
4x + 7y = 91/15
Using elimination
4*(4x + 4y = 16/15)
4*(4x + 7y = 91/15)
16x + 16y = 64/15
16x + 28y = 364/15
Subtract equations
-12y = -20
y = -20/-12
y = 5/3
Substitute y
4x + 4(5/3) = 16/15
4x = -28/5
x = -28/5/4
x = -7/5 |
Solve the system:
7x + 10y = -1304/45
6x + 1y = -512/45 | 7x + 10y = -1304/45
6x + 1y = -512/45
Using elimination
6*(7x + 10y = -1304/45)
7*(6x + 1y = -512/45)
42x + 60y = -2608/15
42x + 7y = -3584/45
Subtract equations
53y = -848/9
y = -848/9/53
y = -16/9
Substitute y
7x + 10(-16/9) = -1304/45
7x = -56/5
x = -56/5/7
x = -8/5 |
Find the solution to x^3 - 386/63x^2 + 311/63x + 220/63 = 0 | x^3 - 386/63x^2 + 311/63x + 220/63 = 0
(x - 5)(x - 11/7)(x - -4/9) = 0
x - 5 = 0
x - 11/7 = 0
x - -4/9 = 0
x = 5
x = 11/7
x = -4/9 |
Compute the solution of x^2 + 94/15x - 8/3 = 0 | x^2 + 94/15x - 8/3 = 0
(x - 2/5)(x - -20/3) = 0
x - 2/5 = 0 or x - -20/3 = 0
x = 2/5
x = -20/3 |
Find x and y such that
4x + 6y = -18
5x + 10y = -45/2 | 4x + 6y = -18
5x + 10y = -45/2
Using elimination
5*(4x + 6y = -18)
4*(5x + 10y = -45/2)
20x + 30y = -90
20x + 40y = -90
Subtract equations
-10y = 0
y = 0/-10
y = 0
Substitute y
4x + 6(0) = -18
4x = -18
x = -18/4
x = -9/2 |
Solve the equations:
1x + 8y = -179/10
9x + 8y = -331/10 | 1x + 8y = -179/10
9x + 8y = -331/10
Using elimination
9*(1x + 8y = -179/10)
1*(9x + 8y = -331/10)
9x + 72y = -1611/10
9x + 8y = -331/10
Subtract equations
64y = -128
y = -128/64
y = -2
Substitute y
1x + 8(-2) = -179/10
1x = -19/10
x = -19/10/1
x = -19/10 |
Determine x in x^3 + 46/5x^2 - 197/25x + 6/5 = 0 | x^3 + 46/5x^2 - 197/25x + 6/5 = 0
(x - 3/5)(x - -10)(x - 1/5) = 0
x - 3/5 = 0
x - -10 = 0
x - 1/5 = 0
x = 3/5
x = -10
x = 1/5 |
Find the solution to 5x - 85/9 = 0 | 5x - 85/9 = 0
5x = 85/9
x = 85/9 / 5
x = 17/9 |
Find x in x^3 + 587/105x^2 + 338/35x + 24/5 = 0 | x^3 + 587/105x^2 + 338/35x + 24/5 = 0
(x - -7/3)(x - -6/7)(x - -12/5) = 0
x - -7/3 = 0
x - -6/7 = 0
x - -12/5 = 0
x = -7/3
x = -6/7
x = -12/5 |
Find x for x^3 - 16/15x^2 - 37/60x - 1/20 = 0 | x^3 - 16/15x^2 - 37/60x - 1/20 = 0
(x - 3/2)(x - -1/3)(x - -1/10) = 0
x - 3/2 = 0
x - -1/3 = 0
x - -1/10 = 0
x = 3/2
x = -1/3
x = -1/10 |
What value of x satisfies x^3 + 61/18x^2 - 64/9x - 19/2 = 0 | x^3 + 61/18x^2 - 64/9x - 19/2 = 0
(x - -9/2)(x - 19/9)(x - -1) = 0
x - -9/2 = 0
x - 19/9 = 0
x - -1 = 0
x = -9/2
x = 19/9
x = -1 |
Solve quickly: x^2 - 51/4x + 38 = 0 | x^2 - 51/4x + 38 = 0
(x - 8)(x - 19/4) = 0
x - 8 = 0 or x - 19/4 = 0
x = 8
x = 19/4 |
Solve the equations:
10x + 5y = 37/4
6x + 7y = 291/20 | 10x + 5y = 37/4
6x + 7y = 291/20
Using elimination
6*(10x + 5y = 37/4)
10*(6x + 7y = 291/20)
60x + 30y = 111/2
60x + 70y = 291/2
Subtract equations
-40y = -90
y = -90/-40
y = 9/4
Substitute y
10x + 5(9/4) = 37/4
10x = -2
x = -2/10
x = -1/5 |
What value of x satisfies 1x + 4 = 0 | 1x + 4 = 0
1x = -4
x = -4 / 1
x = -4 |
Solve the system:
3x + 5y = -311/35
10x + 9y = -215/7 | 3x + 5y = -311/35
10x + 9y = -215/7
Using elimination
10*(3x + 5y = -311/35)
3*(10x + 9y = -215/7)
30x + 50y = -622/7
30x + 27y = -645/7
Subtract equations
23y = 23/7
y = 23/7/23
y = 1/7
Substitute y
3x + 5(1/7) = -311/35
3x = -48/5
x = -48/5/3
x = -16/5 |
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