input stringlengths 13 66 | output stringlengths 30 276 |
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Solve quickly: 8x - 8/7 = 0 | 8x - 8/7 = 0
8x = 8/7
x = 8/7 / 8
x = 1/7 |
Find the solution to 10x + 70/3 = 0 | 10x + 70/3 = 0
10x = -70/3
x = -70/3 / 10
x = -7/3 |
Solve simultaneously:
3x + 5y = 100/7
6x + 9y = 180/7 | 3x + 5y = 100/7
6x + 9y = 180/7
Using elimination
6*(3x + 5y = 100/7)
3*(6x + 9y = 180/7)
18x + 30y = 600/7
18x + 27y = 540/7
Subtract equations
3y = 60/7
y = 60/7/3
y = 20/7
Substitute y
3x + 5(20/7) = 100/7
3x = 0
x = 0/3
x = 0 |
Find x in 4x - 6 = 0 | 4x - 6 = 0
4x = 6
x = 6 / 4
x = 3/2 |
Solve quickly: x^3 + 22/3x^2 - 76/3x + 40/3 = 0 | x^3 + 22/3x^2 - 76/3x + 40/3 = 0
(x - 2)(x - 2/3)(x - -10) = 0
x - 2 = 0
x - 2/3 = 0
x - -10 = 0
x = 2
x = 2/3
x = -10 |
Find the solution to x^3 - 23/4x^2 + 1123/200x + 323/100 = 0 | x^3 - 23/4x^2 + 1123/200x + 323/100 = 0
(x - 17/4)(x - -2/5)(x - 19/10) = 0
x - 17/4 = 0
x - -2/5 = 0
x - 19/10 = 0
x = 17/4
x = -2/5
x = 19/10 |
Solve simultaneously:
1x + 3y = -81/8
3x + 4y = -47/2 | 1x + 3y = -81/8
3x + 4y = -47/2
Using elimination
3*(1x + 3y = -81/8)
1*(3x + 4y = -47/2)
3x + 9y = -243/8
3x + 4y = -47/2
Subtract equations
5y = -55/8
y = -55/8/5
y = -11/8
Substitute y
1x + 3(-11/8) = -81/8
1x = -6
x = -6/1
x = -6 |
Compute the solution of x^3 - 63/5x^2 - 272/5x = 0 | x^3 - 63/5x^2 - 272/5x = 0
(x - -17/5)(x - 0)(x - 16) = 0
x - -17/5 = 0
x - 0 = 0
x - 16 = 0
x = -17/5
x = 0
x = 16 |
What value of x satisfies x^3 + 17/60x^2 - 299/40x + 169/24 = 0 | x^3 + 17/60x^2 - 299/40x + 169/24 = 0
(x - 13/10)(x - -13/4)(x - 5/3) = 0
x - 13/10 = 0
x - -13/4 = 0
x - 5/3 = 0
x = 13/10
x = -13/4
x = 5/3 |
Compute the solution of 1x + 20 = 0 | 1x + 20 = 0
1x = -20
x = -20 / 1
x = -20 |
Solve quickly: 6x - 24 = 0 | 6x - 24 = 0
6x = 24
x = 24 / 6
x = 4 |
Determine x in x^2 - 3/4x - 5/2 = 0 | x^2 - 3/4x - 5/2 = 0
(x - -5/4)(x - 2) = 0
x - -5/4 = 0 or x - 2 = 0
x = -5/4
x = 2 |
Solve quickly: 7x - 11 = 0 | 7x - 11 = 0
7x = 11
x = 11 / 7
x = 11/7 |
Determine x in 2x + 1/2 = 0 | 2x + 1/2 = 0
2x = -1/2
x = -1/2 / 2
x = -1/4 |
Solve the system:
10x + 3y = 559/14
6x + 9y = 249/14 | 10x + 3y = 559/14
6x + 9y = 249/14
Using elimination
6*(10x + 3y = 559/14)
10*(6x + 9y = 249/14)
60x + 18y = 1677/7
60x + 90y = 1245/7
Subtract equations
-72y = 432/7
y = 432/7/-72
y = -6/7
Substitute y
10x + 3(-6/7) = 559/14
10x = 85/2
x = 85/2/10
x = 17/4 |
Find x in 6x - 15/2 = 0 | 6x - 15/2 = 0
6x = 15/2
x = 15/2 / 6
x = 5/4 |
Solve the equation x^3 + 71/45x^2 - 52/27x - 76/45 = 0 | x^3 + 71/45x^2 - 52/27x - 76/45 = 0
(x - -2/3)(x - 6/5)(x - -19/9) = 0
x - -2/3 = 0
x - 6/5 = 0
x - -19/9 = 0
x = -2/3
x = 6/5
x = -19/9 |
Find x and y such that
9x + 1y = -39/10
9x + 9y = -279/10 | 9x + 1y = -39/10
9x + 9y = -279/10
Using elimination
9*(9x + 1y = -39/10)
9*(9x + 9y = -279/10)
81x + 9y = -351/10
81x + 81y = -2511/10
Subtract equations
-72y = 216
y = 216/-72
y = -3
Substitute y
9x + 1(-3) = -39/10
9x = -9/10
x = -9/10/9
x = -1/10 |
Find x and y such that
6x + 3y = 9
4x + 6y = 66/5 | 6x + 3y = 9
4x + 6y = 66/5
Using elimination
4*(6x + 3y = 9)
6*(4x + 6y = 66/5)
24x + 12y = 36
24x + 36y = 396/5
Subtract equations
-24y = -216/5
y = -216/5/-24
y = 9/5
Substitute y
6x + 3(9/5) = 9
6x = 18/5
x = 18/5/6
x = 3/5 |
Find x for x^3 + 63/8x^2 + 11/4x - 51 = 0 | x^3 + 63/8x^2 + 11/4x - 51 = 0
(x - 17/8)(x - -6)(x - -4) = 0
x - 17/8 = 0
x - -6 = 0
x - -4 = 0
x = 17/8
x = -6
x = -4 |
Solve quickly: 9x - 13 = 0 | 9x - 13 = 0
9x = 13
x = 13 / 9
x = 13/9 |
Find x in x^3 + 9/10x^2 - 2/5x - 3/10 = 0 | x^3 + 9/10x^2 - 2/5x - 3/10 = 0
(x - -1/2)(x - -1)(x - 3/5) = 0
x - -1/2 = 0
x - -1 = 0
x - 3/5 = 0
x = -1/2
x = -1
x = 3/5 |
Find the solution to x^3 + 141/10x^2 - 71/5x - 21/2 = 0 | x^3 + 141/10x^2 - 71/5x - 21/2 = 0
(x - -15)(x - 7/5)(x - -1/2) = 0
x - -15 = 0
x - 7/5 = 0
x - -1/2 = 0
x = -15
x = 7/5
x = -1/2 |
Solve x^3 + 81/40x^2 - 177/20x - 19/5 = 0 | x^3 + 81/40x^2 - 177/20x - 19/5 = 0
(x - -4)(x - -2/5)(x - 19/8) = 0
x - -4 = 0
x - -2/5 = 0
x - 19/8 = 0
x = -4
x = -2/5
x = 19/8 |
Solve quickly: x^2 + 71/21x + 20/7 = 0 | x^2 + 71/21x + 20/7 = 0
(x - -5/3)(x - -12/7) = 0
x - -5/3 = 0 or x - -12/7 = 0
x = -5/3
x = -12/7 |
Solve the equation x^3 + 12x^2 - 445/4x - 117/2 = 0 | x^3 + 12x^2 - 445/4x - 117/2 = 0
(x - -18)(x - 13/2)(x - -1/2) = 0
x - -18 = 0
x - 13/2 = 0
x - -1/2 = 0
x = -18
x = 13/2
x = -1/2 |
Find x for 8x + 4 = 0 | 8x + 4 = 0
8x = -4
x = -4 / 8
x = -1/2 |
Solve the equations:
5x + 6y = 49/4
3x + 9y = 87/4 | 5x + 6y = 49/4
3x + 9y = 87/4
Using elimination
3*(5x + 6y = 49/4)
5*(3x + 9y = 87/4)
15x + 18y = 147/4
15x + 45y = 435/4
Subtract equations
-27y = -72
y = -72/-27
y = 8/3
Substitute y
5x + 6(8/3) = 49/4
5x = -15/4
x = -15/4/5
x = -3/4 |
Solve x^3 - 7/4x^2 - 17/16x - 9/64 = 0 | x^3 - 7/4x^2 - 17/16x - 9/64 = 0
(x - 9/4)(x - -1/4)(x - -1/4) = 0
x - 9/4 = 0
x - -1/4 = 0
x - -1/4 = 0
x = 9/4
x = -1/4
x = -1/4 |
Solve the equation 9x - 19 = 0 | 9x - 19 = 0
9x = 19
x = 19 / 9
x = 19/9 |
Find the solution to 1x - 3/2 = 0 | 1x - 3/2 = 0
1x = 3/2
x = 3/2 / 1
x = 3/2 |
Compute the solution of x^3 + 197/168x^2 - 1/4x - 1/21 = 0 | x^3 + 197/168x^2 - 1/4x - 1/21 = 0
(x - -1/8)(x - -4/3)(x - 2/7) = 0
x - -1/8 = 0
x - -4/3 = 0
x - 2/7 = 0
x = -1/8
x = -4/3
x = 2/7 |
Solve the system:
4x + 5y = -2/5
1x + 10y = -141/10 | 4x + 5y = -2/5
1x + 10y = -141/10
Using elimination
1*(4x + 5y = -2/5)
4*(1x + 10y = -141/10)
4x + 5y = -2/5
4x + 40y = -282/5
Subtract equations
-35y = 56
y = 56/-35
y = -8/5
Substitute y
4x + 5(-8/5) = -2/5
4x = 38/5
x = 38/5/4
x = 19/10 |
Solve the equations:
7x + 3y = 16/5
1x + 9y = 88/5 | 7x + 3y = 16/5
1x + 9y = 88/5
Using elimination
1*(7x + 3y = 16/5)
7*(1x + 9y = 88/5)
7x + 3y = 16/5
7x + 63y = 616/5
Subtract equations
-60y = -120
y = -120/-60
y = 2
Substitute y
7x + 3(2) = 16/5
7x = -14/5
x = -14/5/7
x = -2/5 |
Find x and y such that
7x + 3y = -1
9x + 5y = -25/7 | 7x + 3y = -1
9x + 5y = -25/7
Using elimination
9*(7x + 3y = -1)
7*(9x + 5y = -25/7)
63x + 27y = -9
63x + 35y = -25
Subtract equations
-8y = 16
y = 16/-8
y = -2
Substitute y
7x + 3(-2) = -1
7x = 5
x = 5/7
x = 5/7 |
Solve simultaneously:
9x + 2y = -194/5
2x + 1y = -47/5 | 9x + 2y = -194/5
2x + 1y = -47/5
Using elimination
2*(9x + 2y = -194/5)
9*(2x + 1y = -47/5)
18x + 4y = -388/5
18x + 9y = -423/5
Subtract equations
-5y = 7
y = 7/-5
y = -7/5
Substitute y
9x + 2(-7/5) = -194/5
9x = -36
x = -36/9
x = -4 |
Find x for 6x - 54/5 = 0 | 6x - 54/5 = 0
6x = 54/5
x = 54/5 / 6
x = 9/5 |
Compute the solution of x^3 + 1/8x^2 - 1/4x - 1/32 = 0 | x^3 + 1/8x^2 - 1/4x - 1/32 = 0
(x - 1/2)(x - -1/2)(x - -1/8) = 0
x - 1/2 = 0
x - -1/2 = 0
x - -1/8 = 0
x = 1/2
x = -1/2
x = -1/8 |
Find x for x^3 - 62/7x^2 + 47/7x + 8/7 = 0 | x^3 - 62/7x^2 + 47/7x + 8/7 = 0
(x - -1/7)(x - 1)(x - 8) = 0
x - -1/7 = 0
x - 1 = 0
x - 8 = 0
x = -1/7
x = 1
x = 8 |
Determine x in x^3 + 1487/180x^2 + 67/3x + 3553/180 = 0 | x^3 + 1487/180x^2 + 67/3x + 3553/180 = 0
(x - -17/5)(x - -11/4)(x - -19/9) = 0
x - -17/5 = 0
x - -11/4 = 0
x - -19/9 = 0
x = -17/5
x = -11/4
x = -19/9 |
Compute the solution of 3x - 9/5 = 0 | 3x - 9/5 = 0
3x = 9/5
x = 9/5 / 3
x = 3/5 |
What value of x satisfies x^3 - 117/8x^2 - 653/8x - 57/2 = 0 | x^3 - 117/8x^2 - 653/8x - 57/2 = 0
(x - -3/8)(x - 19)(x - -4) = 0
x - -3/8 = 0
x - 19 = 0
x - -4 = 0
x = -3/8
x = 19
x = -4 |
Find x for x^3 - 144/35x^2 - 149/35x - 6/7 = 0 | x^3 - 144/35x^2 - 149/35x - 6/7 = 0
(x - -2/7)(x - 5)(x - -3/5) = 0
x - -2/7 = 0
x - 5 = 0
x - -3/5 = 0
x = -2/7
x = 5
x = -3/5 |
Find x for x^3 - 1853/315x^2 + 1199/105x - 2299/315 = 0 | x^3 - 1853/315x^2 + 1199/105x - 2299/315 = 0
(x - 19/9)(x - 11/7)(x - 11/5) = 0
x - 19/9 = 0
x - 11/7 = 0
x - 11/5 = 0
x = 19/9
x = 11/7
x = 11/5 |
What value of x satisfies 1x + 5/9 = 0 | 1x + 5/9 = 0
1x = -5/9
x = -5/9 / 1
x = -5/9 |
Compute the solution of x^3 - 197/180x^2 - 5/12x + 5/18 = 0 | x^3 - 197/180x^2 - 5/12x + 5/18 = 0
(x - -5/9)(x - 5/4)(x - 2/5) = 0
x - -5/9 = 0
x - 5/4 = 0
x - 2/5 = 0
x = -5/9
x = 5/4
x = 2/5 |
Find x for x^2 + 9/2x + 45/16 = 0 | x^2 + 9/2x + 45/16 = 0
(x - -15/4)(x - -3/4) = 0
x - -15/4 = 0 or x - -3/4 = 0
x = -15/4
x = -3/4 |
What value of x satisfies 9x - 27/4 = 0 | 9x - 27/4 = 0
9x = 27/4
x = 27/4 / 9
x = 3/4 |
Solve the equation x^3 - 23/3x^2 + 22/3x + 16 = 0 | x^3 - 23/3x^2 + 22/3x + 16 = 0
(x - 6)(x - -1)(x - 8/3) = 0
x - 6 = 0
x - -1 = 0
x - 8/3 = 0
x = 6
x = -1
x = 8/3 |
What value of x satisfies x^2 - 34/9x + 280/81 = 0 | x^2 - 34/9x + 280/81 = 0
(x - 20/9)(x - 14/9) = 0
x - 20/9 = 0 or x - 14/9 = 0
x = 20/9
x = 14/9 |
What value of x satisfies x^3 - 29/5x^2 - 86/5x - 16/5 = 0 | x^3 - 29/5x^2 - 86/5x - 16/5 = 0
(x - -2)(x - 8)(x - -1/5) = 0
x - -2 = 0
x - 8 = 0
x - -1/5 = 0
x = -2
x = 8
x = -1/5 |
Find x in x^3 + 859/90x^2 + 89/18x + 2/5 = 0 | x^3 + 859/90x^2 + 89/18x + 2/5 = 0
(x - -9)(x - -4/9)(x - -1/10) = 0
x - -9 = 0
x - -4/9 = 0
x - -1/10 = 0
x = -9
x = -4/9
x = -1/10 |
Find the solution to x^2 + 57/8x + 7/8 = 0 | x^2 + 57/8x + 7/8 = 0
(x - -1/8)(x - -7) = 0
x - -1/8 = 0 or x - -7 = 0
x = -1/8
x = -7 |
Find x for 9x + 18 = 0 | 9x + 18 = 0
9x = -18
x = -18 / 9
x = -2 |
Solve quickly: x^2 - 23x + 90 = 0 | x^2 - 23x + 90 = 0
(x - 18)(x - 5) = 0
x - 18 = 0 or x - 5 = 0
x = 18
x = 5 |
Find the solution to x^3 - 91/5x^2 - 36x = 0 | x^3 - 91/5x^2 - 36x = 0
(x - 0)(x - -9/5)(x - 20) = 0
x - 0 = 0
x - -9/5 = 0
x - 20 = 0
x = 0
x = -9/5
x = 20 |
Solve quickly: x^3 - 403/84x^2 + 160/21x - 4 = 0 | x^3 - 403/84x^2 + 160/21x - 4 = 0
(x - 12/7)(x - 4/3)(x - 7/4) = 0
x - 12/7 = 0
x - 4/3 = 0
x - 7/4 = 0
x = 12/7
x = 4/3
x = 7/4 |
Solve the system:
8x + 5y = -183/10
5x + 7y = -157/10 | 8x + 5y = -183/10
5x + 7y = -157/10
Using elimination
5*(8x + 5y = -183/10)
8*(5x + 7y = -157/10)
40x + 25y = -183/2
40x + 56y = -628/5
Subtract equations
-31y = 341/10
y = 341/10/-31
y = -11/10
Substitute y
8x + 5(-11/10) = -183/10
8x = -64/5
x = -64/5/8
x = -8/5 |
Solve the equations:
3x + 9y = 3/28
9x + 1y = 1153/28 | 3x + 9y = 3/28
9x + 1y = 1153/28
Using elimination
9*(3x + 9y = 3/28)
3*(9x + 1y = 1153/28)
27x + 81y = 27/28
27x + 3y = 3459/28
Subtract equations
78y = -858/7
y = -858/7/78
y = -11/7
Substitute y
3x + 9(-11/7) = 3/28
3x = 57/4
x = 57/4/3
x = 19/4 |
Find x for x^2 + 97/45x - 26/5 = 0 | x^2 + 97/45x - 26/5 = 0
(x - 13/9)(x - -18/5) = 0
x - 13/9 = 0 or x - -18/5 = 0
x = 13/9
x = -18/5 |
Solve the system:
6x + 1y = 190/3
3x + 8y = 170/3 | 6x + 1y = 190/3
3x + 8y = 170/3
Using elimination
3*(6x + 1y = 190/3)
6*(3x + 8y = 170/3)
18x + 3y = 190
18x + 48y = 340
Subtract equations
-45y = -150
y = -150/-45
y = 10/3
Substitute y
6x + 1(10/3) = 190/3
6x = 60
x = 60/6
x = 10 |
Solve quickly: 8x + 24 = 0 | 8x + 24 = 0
8x = -24
x = -24 / 8
x = -3 |
Solve x^2 - 39/20x - 11/5 = 0 | x^2 - 39/20x - 11/5 = 0
(x - -4/5)(x - 11/4) = 0
x - -4/5 = 0 or x - 11/4 = 0
x = -4/5
x = 11/4 |
Find x for x^2 - 21x + 80 = 0 | x^2 - 21x + 80 = 0
(x - 5)(x - 16) = 0
x - 5 = 0 or x - 16 = 0
x = 5
x = 16 |
Solve quickly: x^2 - 1/14x - 45/7 = 0 | x^2 - 1/14x - 45/7 = 0
(x - 18/7)(x - -5/2) = 0
x - 18/7 = 0 or x - -5/2 = 0
x = 18/7
x = -5/2 |
Find x for 7x + 21/4 = 0 | 7x + 21/4 = 0
7x = -21/4
x = -21/4 / 7
x = -3/4 |
Determine x in x^3 - 11/90x^2 - 998/135x - 221/270 = 0 | x^3 - 11/90x^2 - 998/135x - 221/270 = 0
(x - 17/6)(x - -1/9)(x - -13/5) = 0
x - 17/6 = 0
x - -1/9 = 0
x - -13/5 = 0
x = 17/6
x = -1/9
x = -13/5 |
Solve x^2 - 25/14x - 25/14 = 0 | x^2 - 25/14x - 25/14 = 0
(x - 5/2)(x - -5/7) = 0
x - 5/2 = 0 or x - -5/7 = 0
x = 5/2
x = -5/7 |
Solve x^2 - 13/6x - 119/6 = 0 | x^2 - 13/6x - 119/6 = 0
(x - 17/3)(x - -7/2) = 0
x - 17/3 = 0 or x - -7/2 = 0
x = 17/3
x = -7/2 |
Find x for x^2 - 1x - 8/49 = 0 | x^2 - 1x - 8/49 = 0
(x - -1/7)(x - 8/7) = 0
x - -1/7 = 0 or x - 8/7 = 0
x = -1/7
x = 8/7 |
Find the solution to x^2 - 5x + 6 = 0 | x^2 - 5x + 6 = 0
(x - 3)(x - 2) = 0
x - 3 = 0 or x - 2 = 0
x = 3
x = 2 |
Solve the equation x^3 - 25/2x^2 + 374/9x - 160/9 = 0 | x^3 - 25/2x^2 + 374/9x - 160/9 = 0
(x - 16/3)(x - 20/3)(x - 1/2) = 0
x - 16/3 = 0
x - 20/3 = 0
x - 1/2 = 0
x = 16/3
x = 20/3
x = 1/2 |
Solve the equation x^2 - 27/4x + 9/2 = 0 | x^2 - 27/4x + 9/2 = 0
(x - 6)(x - 3/4) = 0
x - 6 = 0 or x - 3/4 = 0
x = 6
x = 3/4 |
Determine x in x^3 + 86/15x^2 - 11/15x - 442/15 = 0 | x^3 + 86/15x^2 - 11/15x - 442/15 = 0
(x - -17/5)(x - -13/3)(x - 2) = 0
x - -17/5 = 0
x - -13/3 = 0
x - 2 = 0
x = -17/5
x = -13/3
x = 2 |
Find x and y such that
6x + 1y = -68/5
2x + 5y = -116/5 | 6x + 1y = -68/5
2x + 5y = -116/5
Using elimination
2*(6x + 1y = -68/5)
6*(2x + 5y = -116/5)
12x + 2y = -136/5
12x + 30y = -696/5
Subtract equations
-28y = 112
y = 112/-28
y = -4
Substitute y
6x + 1(-4) = -68/5
6x = -48/5
x = -48/5/6
x = -8/5 |
Determine x in x^3 + 1754/315x^2 + 1027/105x + 338/63 = 0 | x^3 + 1754/315x^2 + 1027/105x + 338/63 = 0
(x - -13/5)(x - -13/7)(x - -10/9) = 0
x - -13/5 = 0
x - -13/7 = 0
x - -10/9 = 0
x = -13/5
x = -13/7
x = -10/9 |
Find x for 2x - 38/7 = 0 | 2x - 38/7 = 0
2x = 38/7
x = 38/7 / 2
x = 19/7 |
Find x and y such that
8x + 4y = -44/3
5x + 3y = -28/3 | 8x + 4y = -44/3
5x + 3y = -28/3
Using elimination
5*(8x + 4y = -44/3)
8*(5x + 3y = -28/3)
40x + 20y = -220/3
40x + 24y = -224/3
Subtract equations
-4y = 4/3
y = 4/3/-4
y = -1/3
Substitute y
8x + 4(-1/3) = -44/3
8x = -40/3
x = -40/3/8
x = -5/3 |
Find x in x^3 + 1/60x^2 - 659/120x + 21/5 = 0 | x^3 + 1/60x^2 - 659/120x + 21/5 = 0
(x - 9/10)(x - 7/4)(x - -8/3) = 0
x - 9/10 = 0
x - 7/4 = 0
x - -8/3 = 0
x = 9/10
x = 7/4
x = -8/3 |
Solve the equations:
9x + 9y = 67/2
2x + 9y = 323/18 | 9x + 9y = 67/2
2x + 9y = 323/18
Using elimination
2*(9x + 9y = 67/2)
9*(2x + 9y = 323/18)
18x + 18y = 67
18x + 81y = 323/2
Subtract equations
-63y = -189/2
y = -189/2/-63
y = 3/2
Substitute y
9x + 9(3/2) = 67/2
9x = 20
x = 20/9
x = 20/9 |
Find x and y such that
6x + 6y = 177/4
6x + 3y = 81/4 | 6x + 6y = 177/4
6x + 3y = 81/4
Using elimination
6*(6x + 6y = 177/4)
6*(6x + 3y = 81/4)
36x + 36y = 531/2
36x + 18y = 243/2
Subtract equations
18y = 144
y = 144/18
y = 8
Substitute y
6x + 6(8) = 177/4
6x = -15/4
x = -15/4/6
x = -5/8 |
Solve simultaneously:
5x + 6y = -296/15
1x + 9y = -563/30 | 5x + 6y = -296/15
1x + 9y = -563/30
Using elimination
1*(5x + 6y = -296/15)
5*(1x + 9y = -563/30)
5x + 6y = -296/15
5x + 45y = -563/6
Subtract equations
-39y = 741/10
y = 741/10/-39
y = -19/10
Substitute y
5x + 6(-19/10) = -296/15
5x = -25/3
x = -25/3/5
x = -5/3 |
Solve 4x + 8 = 0 | 4x + 8 = 0
4x = -8
x = -8 / 4
x = -2 |
Compute the solution of 10x + 26 = 0 | 10x + 26 = 0
10x = -26
x = -26 / 10
x = -13/5 |
Solve the system:
9x + 4y = 148/5
2x + 4y = 64/5 | 9x + 4y = 148/5
2x + 4y = 64/5
Using elimination
2*(9x + 4y = 148/5)
9*(2x + 4y = 64/5)
18x + 8y = 296/5
18x + 36y = 576/5
Subtract equations
-28y = -56
y = -56/-28
y = 2
Substitute y
9x + 4(2) = 148/5
9x = 108/5
x = 108/5/9
x = 12/5 |
Solve x^3 + 41/4x^2 + 117/4x + 45/2 = 0 | x^3 + 41/4x^2 + 117/4x + 45/2 = 0
(x - -3)(x - -6)(x - -5/4) = 0
x - -3 = 0
x - -6 = 0
x - -5/4 = 0
x = -3
x = -6
x = -5/4 |
Find x in 10x - 40 = 0 | 10x - 40 = 0
10x = 40
x = 40 / 10
x = 4 |
What value of x satisfies 8x - 20 = 0 | 8x - 20 = 0
8x = 20
x = 20 / 8
x = 5/2 |
Compute the solution of 4x + 4 = 0 | 4x + 4 = 0
4x = -4
x = -4 / 4
x = -1 |
Compute the solution of x^2 + 5/7x - 104/49 = 0 | x^2 + 5/7x - 104/49 = 0
(x - 8/7)(x - -13/7) = 0
x - 8/7 = 0 or x - -13/7 = 0
x = 8/7
x = -13/7 |
Solve x^2 - 33/8x + 65/16 = 0 | x^2 - 33/8x + 65/16 = 0
(x - 13/8)(x - 5/2) = 0
x - 13/8 = 0 or x - 5/2 = 0
x = 13/8
x = 5/2 |
Solve quickly: x^2 - 22/15x - 133/15 = 0 | x^2 - 22/15x - 133/15 = 0
(x - -7/3)(x - 19/5) = 0
x - -7/3 = 0 or x - 19/5 = 0
x = -7/3
x = 19/5 |
Solve simultaneously:
8x + 7y = 819/10
9x + 10y = 551/5 | 8x + 7y = 819/10
9x + 10y = 551/5
Using elimination
9*(8x + 7y = 819/10)
8*(9x + 10y = 551/5)
72x + 63y = 7371/10
72x + 80y = 4408/5
Subtract equations
-17y = -289/2
y = -289/2/-17
y = 17/2
Substitute y
8x + 7(17/2) = 819/10
8x = 112/5
x = 112/5/8
x = 14/5 |
Solve the equation x^3 - 36/7x^2 + 53/7x - 24/7 = 0 | x^3 - 36/7x^2 + 53/7x - 24/7 = 0
(x - 8/7)(x - 3)(x - 1) = 0
x - 8/7 = 0
x - 3 = 0
x - 1 = 0
x = 8/7
x = 3
x = 1 |
Find x in x^2 - 44/9x + 17/3 = 0 | x^2 - 44/9x + 17/3 = 0
(x - 17/9)(x - 3) = 0
x - 17/9 = 0 or x - 3 = 0
x = 17/9
x = 3 |
Solve 8x - 104/9 = 0 | 8x - 104/9 = 0
8x = 104/9
x = 104/9 / 8
x = 13/9 |
Find x for x^3 - 26/15x^2 - 49/15x + 4 = 0 | x^3 - 26/15x^2 - 49/15x + 4 = 0
(x - 12/5)(x - -5/3)(x - 1) = 0
x - 12/5 = 0
x - -5/3 = 0
x - 1 = 0
x = 12/5
x = -5/3
x = 1 |
Find x and y such that
3x + 6y = -12
10x + 10y = 20 | 3x + 6y = -12
10x + 10y = 20
Using elimination
10*(3x + 6y = -12)
3*(10x + 10y = 20)
30x + 60y = -120
30x + 30y = 60
Subtract equations
30y = -180
y = -180/30
y = -6
Substitute y
3x + 6(-6) = -12
3x = 24
x = 24/3
x = 8 |
Solve simultaneously:
6x + 5y = 65/14
8x + 9y = 5/14 | 6x + 5y = 65/14
8x + 9y = 5/14
Using elimination
8*(6x + 5y = 65/14)
6*(8x + 9y = 5/14)
48x + 40y = 260/7
48x + 54y = 15/7
Subtract equations
-14y = 35
y = 35/-14
y = -5/2
Substitute y
6x + 5(-5/2) = 65/14
6x = 120/7
x = 120/7/6
x = 20/7 |
Solve simultaneously:
5x + 5y = 145/12
3x + 8y = 367/12 | 5x + 5y = 145/12
3x + 8y = 367/12
Using elimination
3*(5x + 5y = 145/12)
5*(3x + 8y = 367/12)
15x + 15y = 145/4
15x + 40y = 1835/12
Subtract equations
-25y = -350/3
y = -350/3/-25
y = 14/3
Substitute y
5x + 5(14/3) = 145/12
5x = -45/4
x = -45/4/5
x = -9/4 |
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