input stringlengths 13 66 | output stringlengths 30 276 |
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Find x for 4x = 0 | 4x = 0
4x = 0
x = 0 / 4
x = 0 |
Compute the solution of 2x + 6 = 0 | 2x + 6 = 0
2x = -6
x = -6 / 2
x = -3 |
Solve quickly: x^2 + 1/4x - 95/4 = 0 | x^2 + 1/4x - 95/4 = 0
(x - -5)(x - 19/4) = 0
x - -5 = 0 or x - 19/4 = 0
x = -5
x = 19/4 |
Find the solution to x^3 + 53/6x^2 - 71/2x + 30 = 0 | x^3 + 53/6x^2 - 71/2x + 30 = 0
(x - 3/2)(x - 5/3)(x - -12) = 0
x - 3/2 = 0
x - 5/3 = 0
x - -12 = 0
x = 3/2
x = 5/3
x = -12 |
Find the solution to x^2 + 29/90x + 1/45 = 0 | x^2 + 29/90x + 1/45 = 0
(x - -2/9)(x - -1/10) = 0
x - -2/9 = 0 or x - -1/10 = 0
x = -2/9
x = -1/10 |
Solve quickly: 2x + 16 = 0 | 2x + 16 = 0
2x = -16
x = -16 / 2
x = -8 |
Solve the system:
1x + 7y = -29/10
10x + 3y = -11/5 | 1x + 7y = -29/10
10x + 3y = -11/5
Using elimination
10*(1x + 7y = -29/10)
1*(10x + 3y = -11/5)
10x + 70y = -29
10x + 3y = -11/5
Subtract equations
67y = -134/5
y = -134/5/67
y = -2/5
Substitute y
1x + 7(-2/5) = -29/10
1x = -1/10
x = -1/10/1
x = -1/10 |
Solve the equations:
9x + 2y = -909/14
10x + 2y = -507/7 | 9x + 2y = -909/14
10x + 2y = -507/7
Using elimination
10*(9x + 2y = -909/14)
9*(10x + 2y = -507/7)
90x + 20y = -4545/7
90x + 18y = -4563/7
Subtract equations
2y = 18/7
y = 18/7/2
y = 9/7
Substitute y
9x + 2(9/7) = -909/14
9x = -135/2
x = -135/2/9
x = -15/2 |
Solve the equation x^2 - 68/45x - 32/15 = 0 | x^2 - 68/45x - 32/15 = 0
(x - -8/9)(x - 12/5) = 0
x - -8/9 = 0 or x - 12/5 = 0
x = -8/9
x = 12/5 |
What value of x satisfies x^2 + 30/7x + 27/7 = 0 | x^2 + 30/7x + 27/7 = 0
(x - -9/7)(x - -3) = 0
x - -9/7 = 0 or x - -3 = 0
x = -9/7
x = -3 |
Compute the solution of 10x - 100/9 = 0 | 10x - 100/9 = 0
10x = 100/9
x = 100/9 / 10
x = 10/9 |
Solve simultaneously:
7x + 9y = -841/30
6x + 7y = -231/10 | 7x + 9y = -841/30
6x + 7y = -231/10
Using elimination
6*(7x + 9y = -841/30)
7*(6x + 7y = -231/10)
42x + 54y = -841/5
42x + 49y = -1617/10
Subtract equations
5y = -13/2
y = -13/2/5
y = -13/10
Substitute y
7x + 9(-13/10) = -841/30
7x = -49/3
x = -49/3/7
x = -7/3 |
Solve the system:
3x + 5y = -23/4
2x + 7y = -41/4 | 3x + 5y = -23/4
2x + 7y = -41/4
Using elimination
2*(3x + 5y = -23/4)
3*(2x + 7y = -41/4)
6x + 10y = -23/2
6x + 21y = -123/4
Subtract equations
-11y = 77/4
y = 77/4/-11
y = -7/4
Substitute y
3x + 5(-7/4) = -23/4
3x = 3
x = 3/3
x = 1 |
Solve quickly: x^2 - 25/6x + 34/9 = 0 | x^2 - 25/6x + 34/9 = 0
(x - 17/6)(x - 4/3) = 0
x - 17/6 = 0 or x - 4/3 = 0
x = 17/6
x = 4/3 |
Find the solution to 8x - 16/3 = 0 | 8x - 16/3 = 0
8x = 16/3
x = 16/3 / 8
x = 2/3 |
Determine x in x^2 + 7x - 8 = 0 | x^2 + 7x - 8 = 0
(x - 1)(x - -8) = 0
x - 1 = 0 or x - -8 = 0
x = 1
x = -8 |
Solve quickly: x^3 - 71/14x^2 + 7x - 33/14 = 0 | x^3 - 71/14x^2 + 7x - 33/14 = 0
(x - 3)(x - 11/7)(x - 1/2) = 0
x - 3 = 0
x - 11/7 = 0
x - 1/2 = 0
x = 3
x = 11/7
x = 1/2 |
Solve simultaneously:
9x + 3y = 68/7
8x + 3y = 55/7 | 9x + 3y = 68/7
8x + 3y = 55/7
Using elimination
8*(9x + 3y = 68/7)
9*(8x + 3y = 55/7)
72x + 24y = 544/7
72x + 27y = 495/7
Subtract equations
-3y = 7
y = 7/-3
y = -7/3
Substitute y
9x + 3(-7/3) = 68/7
9x = 117/7
x = 117/7/9
x = 13/7 |
Solve the system:
1x + 5y = -713/56
4x + 10y = -761/28 | 1x + 5y = -713/56
4x + 10y = -761/28
Using elimination
4*(1x + 5y = -713/56)
1*(4x + 10y = -761/28)
4x + 20y = -713/14
4x + 10y = -761/28
Subtract equations
10y = -95/4
y = -95/4/10
y = -19/8
Substitute y
1x + 5(-19/8) = -713/56
1x = -6/7
x = -6/7/1
x = -6/7 |
What value of x satisfies 10x + 20 = 0 | 10x + 20 = 0
10x = -20
x = -20 / 10
x = -2 |
Find x and y such that
6x + 1y = 67/3
4x + 7y = 17 | 6x + 1y = 67/3
4x + 7y = 17
Using elimination
4*(6x + 1y = 67/3)
6*(4x + 7y = 17)
24x + 4y = 268/3
24x + 42y = 102
Subtract equations
-38y = -38/3
y = -38/3/-38
y = 1/3
Substitute y
6x + 1(1/3) = 67/3
6x = 22
x = 22/6
x = 11/3 |
Find the solution to x^3 + 97/35x^2 - 158/35x - 352/35 = 0 | x^3 + 97/35x^2 - 158/35x - 352/35 = 0
(x - -16/5)(x - -11/7)(x - 2) = 0
x - -16/5 = 0
x - -11/7 = 0
x - 2 = 0
x = -16/5
x = -11/7
x = 2 |
Solve simultaneously:
7x + 4y = -8/9
1x + 4y = 76/9 | 7x + 4y = -8/9
1x + 4y = 76/9
Using elimination
1*(7x + 4y = -8/9)
7*(1x + 4y = 76/9)
7x + 4y = -8/9
7x + 28y = 532/9
Subtract equations
-24y = -60
y = -60/-24
y = 5/2
Substitute y
7x + 4(5/2) = -8/9
7x = -98/9
x = -98/9/7
x = -14/9 |
Solve the equations:
4x + 6y = 1/3
6x + 10y = 2 | 4x + 6y = 1/3
6x + 10y = 2
Using elimination
6*(4x + 6y = 1/3)
4*(6x + 10y = 2)
24x + 36y = 2
24x + 40y = 8
Subtract equations
-4y = -6
y = -6/-4
y = 3/2
Substitute y
4x + 6(3/2) = 1/3
4x = -26/3
x = -26/3/4
x = -13/6 |
Solve the equations:
9x + 10y = -180
1x + 7y = -325/3 | 9x + 10y = -180
1x + 7y = -325/3
Using elimination
1*(9x + 10y = -180)
9*(1x + 7y = -325/3)
9x + 10y = -180
9x + 63y = -975
Subtract equations
-53y = 795
y = 795/-53
y = -15
Substitute y
9x + 10(-15) = -180
9x = -30
x = -30/9
x = -10/3 |
Solve the equation x^2 + 11/10x - 7/2 = 0 | x^2 + 11/10x - 7/2 = 0
(x - 7/5)(x - -5/2) = 0
x - 7/5 = 0 or x - -5/2 = 0
x = 7/5
x = -5/2 |
Solve the equation x^3 - 53/28x^2 + 6/7x = 0 | x^3 - 53/28x^2 + 6/7x = 0
(x - 3/4)(x - 0)(x - 8/7) = 0
x - 3/4 = 0
x - 0 = 0
x - 8/7 = 0
x = 3/4
x = 0
x = 8/7 |
Determine x in x^2 - 19x = 0 | x^2 - 19x = 0
(x - 19)(x - 0) = 0
x - 19 = 0 or x - 0 = 0
x = 19
x = 0 |
Solve x^2 - 12/5x + 27/20 = 0 | x^2 - 12/5x + 27/20 = 0
(x - 9/10)(x - 3/2) = 0
x - 9/10 = 0 or x - 3/2 = 0
x = 9/10
x = 3/2 |
Solve the system:
1x + 7y = 11/6
7x + 2y = -32/3 | 1x + 7y = 11/6
7x + 2y = -32/3
Using elimination
7*(1x + 7y = 11/6)
1*(7x + 2y = -32/3)
7x + 49y = 77/6
7x + 2y = -32/3
Subtract equations
47y = 47/2
y = 47/2/47
y = 1/2
Substitute y
1x + 7(1/2) = 11/6
1x = -5/3
x = -5/3/1
x = -5/3 |
Find x and y such that
3x + 7y = -808/45
8x + 9y = -132/5 | 3x + 7y = -808/45
8x + 9y = -132/5
Using elimination
8*(3x + 7y = -808/45)
3*(8x + 9y = -132/5)
24x + 56y = -6464/45
24x + 27y = -396/5
Subtract equations
29y = -580/9
y = -580/9/29
y = -20/9
Substitute y
3x + 7(-20/9) = -808/45
3x = -12/5
x = -12/5/3
x = -4/5 |
Find x for 2x - 10 = 0 | 2x - 10 = 0
2x = 10
x = 10 / 2
x = 5 |
Compute the solution of x^2 + 18x - 19 = 0 | x^2 + 18x - 19 = 0
(x - -19)(x - 1) = 0
x - -19 = 0 or x - 1 = 0
x = -19
x = 1 |
Solve x^2 - 7/9x - 2/9 = 0 | x^2 - 7/9x - 2/9 = 0
(x - 1)(x - -2/9) = 0
x - 1 = 0 or x - -2/9 = 0
x = 1
x = -2/9 |
Find x in 10x - 20 = 0 | 10x - 20 = 0
10x = 20
x = 20 / 10
x = 2 |
Solve 1x - 1/2 = 0 | 1x - 1/2 = 0
1x = 1/2
x = 1/2 / 1
x = 1/2 |
Solve the equation 6x - 20 = 0 | 6x - 20 = 0
6x = 20
x = 20 / 6
x = 10/3 |
Compute the solution of 4x + 12 = 0 | 4x + 12 = 0
4x = -12
x = -12 / 4
x = -3 |
Compute the solution of 3x - 60/7 = 0 | 3x - 60/7 = 0
3x = 60/7
x = 60/7 / 3
x = 20/7 |
Compute the solution of x^2 + 145/21x + 76/21 = 0 | x^2 + 145/21x + 76/21 = 0
(x - -19/3)(x - -4/7) = 0
x - -19/3 = 0 or x - -4/7 = 0
x = -19/3
x = -4/7 |
Solve the equation 8x + 64/5 = 0 | 8x + 64/5 = 0
8x = -64/5
x = -64/5 / 8
x = -8/5 |
Solve simultaneously:
7x + 5y = 10
5x + 3y = 8 | 7x + 5y = 10
5x + 3y = 8
Using elimination
5*(7x + 5y = 10)
7*(5x + 3y = 8)
35x + 25y = 50
35x + 21y = 56
Subtract equations
4y = -6
y = -6/4
y = -3/2
Substitute y
7x + 5(-3/2) = 10
7x = 35/2
x = 35/2/7
x = 5/2 |
Solve x^3 + 107/40x^2 + 173/400x - 133/200 = 0 | x^3 + 107/40x^2 + 173/400x - 133/200 = 0
(x - 2/5)(x - -19/8)(x - -7/10) = 0
x - 2/5 = 0
x - -19/8 = 0
x - -7/10 = 0
x = 2/5
x = -19/8
x = -7/10 |
Find the solution to x^3 + 199/21x^2 - 92/3x - 32/7 = 0 | x^3 + 199/21x^2 - 92/3x - 32/7 = 0
(x - 8/3)(x - -12)(x - -1/7) = 0
x - 8/3 = 0
x - -12 = 0
x - -1/7 = 0
x = 8/3
x = -12
x = -1/7 |
Solve x^3 + 169/70x^2 - 187/50x - 1482/175 = 0 | x^3 + 169/70x^2 - 187/50x - 1482/175 = 0
(x - -12/7)(x - 19/10)(x - -13/5) = 0
x - -12/7 = 0
x - 19/10 = 0
x - -13/5 = 0
x = -12/7
x = 19/10
x = -13/5 |
Solve quickly: x^2 - 1x - 285/16 = 0 | x^2 - 1x - 285/16 = 0
(x - 19/4)(x - -15/4) = 0
x - 19/4 = 0 or x - -15/4 = 0
x = 19/4
x = -15/4 |
Solve the equation 3x - 15/4 = 0 | 3x - 15/4 = 0
3x = 15/4
x = 15/4 / 3
x = 5/4 |
Compute the solution of 7x - 70/3 = 0 | 7x - 70/3 = 0
7x = 70/3
x = 70/3 / 7
x = 10/3 |
Solve quickly: x^3 - 10/63x^2 - 43/63x - 10/63 = 0 | x^3 - 10/63x^2 - 43/63x - 10/63 = 0
(x - -5/9)(x - 1)(x - -2/7) = 0
x - -5/9 = 0
x - 1 = 0
x - -2/7 = 0
x = -5/9
x = 1
x = -2/7 |
Compute the solution of 1x + 1/2 = 0 | 1x + 1/2 = 0
1x = -1/2
x = -1/2 / 1
x = -1/2 |
Determine x in x^2 + 7x + 20/9 = 0 | x^2 + 7x + 20/9 = 0
(x - -20/3)(x - -1/3) = 0
x - -20/3 = 0 or x - -1/3 = 0
x = -20/3
x = -1/3 |
Find x in 8x + 12 = 0 | 8x + 12 = 0
8x = -12
x = -12 / 8
x = -3/2 |
Find x and y such that
7x + 5y = 6
3x + 7y = 42/5 | 7x + 5y = 6
3x + 7y = 42/5
Using elimination
3*(7x + 5y = 6)
7*(3x + 7y = 42/5)
21x + 15y = 18
21x + 49y = 294/5
Subtract equations
-34y = -204/5
y = -204/5/-34
y = 6/5
Substitute y
7x + 5(6/5) = 6
7x = 0
x = 0/7
x = 0 |
What value of x satisfies x^3 + 20/3x^2 - 17/3x - 70/3 = 0 | x^3 + 20/3x^2 - 17/3x - 70/3 = 0
(x - -5/3)(x - -7)(x - 2) = 0
x - -5/3 = 0
x - -7 = 0
x - 2 = 0
x = -5/3
x = -7
x = 2 |
Determine x in 9x - 81/4 = 0 | 9x - 81/4 = 0
9x = 81/4
x = 81/4 / 9
x = 9/4 |
Compute the solution of x^3 - 71/21x^2 + 87/28x - 3/7 = 0 | x^3 - 71/21x^2 + 87/28x - 3/7 = 0
(x - 12/7)(x - 3/2)(x - 1/6) = 0
x - 12/7 = 0
x - 3/2 = 0
x - 1/6 = 0
x = 12/7
x = 3/2
x = 1/6 |
Find the solution to 3x - 2 = 0 | 3x - 2 = 0
3x = 2
x = 2 / 3
x = 2/3 |
Find the solution to x^3 - 68/35x^2 + 47/700x + 19/700 = 0 | x^3 - 68/35x^2 + 47/700x + 19/700 = 0
(x - 19/10)(x - 1/7)(x - -1/10) = 0
x - 19/10 = 0
x - 1/7 = 0
x - -1/10 = 0
x = 19/10
x = 1/7
x = -1/10 |
Solve the equation 10x + 65/3 = 0 | 10x + 65/3 = 0
10x = -65/3
x = -65/3 / 10
x = -13/6 |
Find the solution to x^2 + 7/3x - 8/9 = 0 | x^2 + 7/3x - 8/9 = 0
(x - -8/3)(x - 1/3) = 0
x - -8/3 = 0 or x - 1/3 = 0
x = -8/3
x = 1/3 |
Solve simultaneously:
5x + 4y = 7
1x + 1y = 1 | 5x + 4y = 7
1x + 1y = 1
Using elimination
1*(5x + 4y = 7)
5*(1x + 1y = 1)
5x + 4y = 7
5x + 5y = 5
Subtract equations
-1y = 2
y = 2/-1
y = -2
Substitute y
5x + 4(-2) = 7
5x = 15
x = 15/5
x = 3 |
Compute the solution of x^2 + 31/15x + 14/15 = 0 | x^2 + 31/15x + 14/15 = 0
(x - -2/3)(x - -7/5) = 0
x - -2/3 = 0 or x - -7/5 = 0
x = -2/3
x = -7/5 |
Solve simultaneously:
4x + 8y = -472/5
8x + 7y = -494/5 | 4x + 8y = -472/5
8x + 7y = -494/5
Using elimination
8*(4x + 8y = -472/5)
4*(8x + 7y = -494/5)
32x + 64y = -3776/5
32x + 28y = -1976/5
Subtract equations
36y = -360
y = -360/36
y = -10
Substitute y
4x + 8(-10) = -472/5
4x = -72/5
x = -72/5/4
x = -18/5 |
What value of x satisfies 6x + 48 = 0 | 6x + 48 = 0
6x = -48
x = -48 / 6
x = -8 |
Solve simultaneously:
3x + 2y = -4
7x + 1y = -61/3 | 3x + 2y = -4
7x + 1y = -61/3
Using elimination
7*(3x + 2y = -4)
3*(7x + 1y = -61/3)
21x + 14y = -28
21x + 3y = -61
Subtract equations
11y = 33
y = 33/11
y = 3
Substitute y
3x + 2(3) = -4
3x = -10
x = -10/3
x = -10/3 |
Find x in x^2 + 1/6x - 19/2 = 0 | x^2 + 1/6x - 19/2 = 0
(x - 3)(x - -19/6) = 0
x - 3 = 0 or x - -19/6 = 0
x = 3
x = -19/6 |
Solve the equation x^2 - 5x - 126 = 0 | x^2 - 5x - 126 = 0
(x - -9)(x - 14) = 0
x - -9 = 0 or x - 14 = 0
x = -9
x = 14 |
Find x in x^2 - 1/18x - 7/3 = 0 | x^2 - 1/18x - 7/3 = 0
(x - 14/9)(x - -3/2) = 0
x - 14/9 = 0 or x - -3/2 = 0
x = 14/9
x = -3/2 |
Solve simultaneously:
4x + 7y = -59/8
7x + 7y = -35/8 | 4x + 7y = -59/8
7x + 7y = -35/8
Using elimination
7*(4x + 7y = -59/8)
4*(7x + 7y = -35/8)
28x + 49y = -413/8
28x + 28y = -35/2
Subtract equations
21y = -273/8
y = -273/8/21
y = -13/8
Substitute y
4x + 7(-13/8) = -59/8
4x = 4
x = 4/4
x = 1 |
Compute the solution of 6x - 114 = 0 | 6x - 114 = 0
6x = 114
x = 114 / 6
x = 19 |
Solve the equation 9x + 27/5 = 0 | 9x + 27/5 = 0
9x = -27/5
x = -27/5 / 9
x = -3/5 |
Solve the equation 7x - 56 = 0 | 7x - 56 = 0
7x = 56
x = 56 / 7
x = 8 |
Solve quickly: 4x - 20/3 = 0 | 4x - 20/3 = 0
4x = 20/3
x = 20/3 / 4
x = 5/3 |
Find x in x^2 + 119/24x - 2 = 0 | x^2 + 119/24x - 2 = 0
(x - 3/8)(x - -16/3) = 0
x - 3/8 = 0 or x - -16/3 = 0
x = 3/8
x = -16/3 |
Compute the solution of x^3 - 17x^2 - 74x + 1440 = 0 | x^3 - 17x^2 - 74x + 1440 = 0
(x - 16)(x - 10)(x - -9) = 0
x - 16 = 0
x - 10 = 0
x - -9 = 0
x = 16
x = 10
x = -9 |
Solve quickly: 7x - 49/2 = 0 | 7x - 49/2 = 0
7x = 49/2
x = 49/2 / 7
x = 7/2 |
Compute the solution of x^3 + 562/45x^2 - 33/5x + 26/45 = 0 | x^3 + 562/45x^2 - 33/5x + 26/45 = 0
(x - -13)(x - 1/9)(x - 2/5) = 0
x - -13 = 0
x - 1/9 = 0
x - 2/5 = 0
x = -13
x = 1/9
x = 2/5 |
Solve simultaneously:
3x + 2y = 43/4
6x + 3y = 45/2 | 3x + 2y = 43/4
6x + 3y = 45/2
Using elimination
6*(3x + 2y = 43/4)
3*(6x + 3y = 45/2)
18x + 12y = 129/2
18x + 9y = 135/2
Subtract equations
3y = -3
y = -3/3
y = -1
Substitute y
3x + 2(-1) = 43/4
3x = 51/4
x = 51/4/3
x = 17/4 |
Compute the solution of 3x + 19/3 = 0 | 3x + 19/3 = 0
3x = -19/3
x = -19/3 / 3
x = -19/9 |
Solve quickly: x^2 - 43/10x + 39/10 = 0 | x^2 - 43/10x + 39/10 = 0
(x - 3)(x - 13/10) = 0
x - 3 = 0 or x - 13/10 = 0
x = 3
x = 13/10 |
Find x in x^2 + 47/72x - 55/24 = 0 | x^2 + 47/72x - 55/24 = 0
(x - -15/8)(x - 11/9) = 0
x - -15/8 = 0 or x - 11/9 = 0
x = -15/8
x = 11/9 |
Find x for x^3 - 97/12x^2 + 37/2x - 38/3 = 0 | x^3 - 97/12x^2 + 37/2x - 38/3 = 0
(x - 4/3)(x - 19/4)(x - 2) = 0
x - 4/3 = 0
x - 19/4 = 0
x - 2 = 0
x = 4/3
x = 19/4
x = 2 |
What value of x satisfies 3x + 6/7 = 0 | 3x + 6/7 = 0
3x = -6/7
x = -6/7 / 3
x = -2/7 |
Solve 1x - 5/4 = 0 | 1x - 5/4 = 0
1x = 5/4
x = 5/4 / 1
x = 5/4 |
What value of x satisfies 4x + 44/3 = 0 | 4x + 44/3 = 0
4x = -44/3
x = -44/3 / 4
x = -11/3 |
Solve the system:
8x + 10y = 36
7x + 8y = 57/2 | 8x + 10y = 36
7x + 8y = 57/2
Using elimination
7*(8x + 10y = 36)
8*(7x + 8y = 57/2)
56x + 70y = 252
56x + 64y = 228
Subtract equations
6y = 24
y = 24/6
y = 4
Substitute y
8x + 10(4) = 36
8x = -4
x = -4/8
x = -1/2 |
Solve the equations:
3x + 7y = -6
3x + 10y = -6 | 3x + 7y = -6
3x + 10y = -6
Using elimination
3*(3x + 7y = -6)
3*(3x + 10y = -6)
9x + 21y = -18
9x + 30y = -18
Subtract equations
-9y = 0
y = 0/-9
y = 0
Substitute y
3x + 7(0) = -6
3x = -6
x = -6/3
x = -2 |
Find the solution to x^2 + 37/6x - 19/18 = 0 | x^2 + 37/6x - 19/18 = 0
(x - 1/6)(x - -19/3) = 0
x - 1/6 = 0 or x - -19/3 = 0
x = 1/6
x = -19/3 |
Solve quickly: x^3 + 55/24x^2 - 107/48x - 5/16 = 0 | x^3 + 55/24x^2 - 107/48x - 5/16 = 0
(x - -3)(x - -1/8)(x - 5/6) = 0
x - -3 = 0
x - -1/8 = 0
x - 5/6 = 0
x = -3
x = -1/8
x = 5/6 |
Solve simultaneously:
10x + 6y = 529/7
9x + 1y = 367/14 | 10x + 6y = 529/7
9x + 1y = 367/14
Using elimination
9*(10x + 6y = 529/7)
10*(9x + 1y = 367/14)
90x + 54y = 4761/7
90x + 10y = 1835/7
Subtract equations
44y = 418
y = 418/44
y = 19/2
Substitute y
10x + 6(19/2) = 529/7
10x = 130/7
x = 130/7/10
x = 13/7 |
What value of x satisfies 2x - 5 = 0 | 2x - 5 = 0
2x = 5
x = 5 / 2
x = 5/2 |
Find the solution to x^3 + 83/10x^2 - 411/10x + 198/5 = 0 | x^3 + 83/10x^2 - 411/10x + 198/5 = 0
(x - -12)(x - 3/2)(x - 11/5) = 0
x - -12 = 0
x - 3/2 = 0
x - 11/5 = 0
x = -12
x = 3/2
x = 11/5 |
Solve 10x - 95/3 = 0 | 10x - 95/3 = 0
10x = 95/3
x = 95/3 / 10
x = 19/6 |
Solve the system:
10x + 1y = -108
4x + 8y = -28 | 10x + 1y = -108
4x + 8y = -28
Using elimination
4*(10x + 1y = -108)
10*(4x + 8y = -28)
40x + 4y = -432
40x + 80y = -280
Subtract equations
-76y = -152
y = -152/-76
y = 2
Substitute y
10x + 1(2) = -108
10x = -110
x = -110/10
x = -11 |
Find the solution to 8x + 24 = 0 | 8x + 24 = 0
8x = -24
x = -24 / 8
x = -3 |
Find x in x^2 + 141/10x + 7/5 = 0 | x^2 + 141/10x + 7/5 = 0
(x - -1/10)(x - -14) = 0
x - -1/10 = 0 or x - -14 = 0
x = -1/10
x = -14 |
Solve x^3 - 344/105x^2 + 368/105x - 128/105 = 0 | x^3 - 344/105x^2 + 368/105x - 128/105 = 0
(x - 8/7)(x - 4/3)(x - 4/5) = 0
x - 8/7 = 0
x - 4/3 = 0
x - 4/5 = 0
x = 8/7
x = 4/3
x = 4/5 |
What value of x satisfies 1x + 13/5 = 0 | 1x + 13/5 = 0
1x = -13/5
x = -13/5 / 1
x = -13/5 |
Determine x in x^3 + 61/35x^2 - 1509/140x + 513/70 = 0 | x^3 + 61/35x^2 - 1509/140x + 513/70 = 0
(x - -9/2)(x - 6/7)(x - 19/10) = 0
x - -9/2 = 0
x - 6/7 = 0
x - 19/10 = 0
x = -9/2
x = 6/7
x = 19/10 |
Find x in x^2 + 14x - 15 = 0 | x^2 + 14x - 15 = 0
(x - 1)(x - -15) = 0
x - 1 = 0 or x - -15 = 0
x = 1
x = -15 |
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