input stringlengths 13 66 | output stringlengths 30 276 |
|---|---|
Solve x^2 - 58/21x + 17/21 = 0 | x^2 - 58/21x + 17/21 = 0
(x - 1/3)(x - 17/7) = 0
x - 1/3 = 0 or x - 17/7 = 0
x = 1/3
x = 17/7 |
Solve the system:
8x + 4y = -140/3
6x + 1y = -5 | 8x + 4y = -140/3
6x + 1y = -5
Using elimination
6*(8x + 4y = -140/3)
8*(6x + 1y = -5)
48x + 24y = -280
48x + 8y = -40
Subtract equations
16y = -240
y = -240/16
y = -15
Substitute y
8x + 4(-15) = -140/3
8x = 40/3
x = 40/3/8
x = 5/3 |
Find the solution to 9x + 27 = 0 | 9x + 27 = 0
9x = -27
x = -27 / 9
x = -3 |
Find x and y such that
1x + 10y = 3/2
5x + 2y = -21/10 | 1x + 10y = 3/2
5x + 2y = -21/10
Using elimination
5*(1x + 10y = 3/2)
1*(5x + 2y = -21/10)
5x + 50y = 15/2
5x + 2y = -21/10
Subtract equations
48y = 48/5
y = 48/5/48
y = 1/5
Substitute y
1x + 10(1/5) = 3/2
1x = -1/2
x = -1/2/1
x = -1/2 |
Solve 4x = 0 | 4x = 0
4x = 0
x = 0 / 4
x = 0 |
Find the solution to x^2 + 11/35x - 6/35 = 0 | x^2 + 11/35x - 6/35 = 0
(x - 2/7)(x - -3/5) = 0
x - 2/7 = 0 or x - -3/5 = 0
x = 2/7
x = -3/5 |
Determine x in x^2 - 13/6x = 0 | x^2 - 13/6x = 0
(x - 13/6)(x - 0) = 0
x - 13/6 = 0 or x - 0 = 0
x = 13/6
x = 0 |
Find x and y such that
10x + 3y = -5
5x + 4y = -65/6 | 10x + 3y = -5
5x + 4y = -65/6
Using elimination
5*(10x + 3y = -5)
10*(5x + 4y = -65/6)
50x + 15y = -25
50x + 40y = -325/3
Subtract equations
-25y = 250/3
y = 250/3/-25
y = -10/3
Substitute y
10x + 3(-10/3) = -5
10x = 5
x = 5/10
x = 1/2 |
Find x in 7x - 35 = 0 | 7x - 35 = 0
7x = 35
x = 35 / 7
x = 5 |
Compute the solution of x^3 - 277/56x^2 - 3043/112x - 1445/56 = 0 | x^3 - 277/56x^2 - 3043/112x - 1445/56 = 0
(x - -17/8)(x - 17/2)(x - -10/7) = 0
x - -17/8 = 0
x - 17/2 = 0
x - -10/7 = 0
x = -17/8
x = 17/2
x = -10/7 |
Find x for x^3 + 43/6x^2 + 61/6x - 7 = 0 | x^3 + 43/6x^2 + 61/6x - 7 = 0
(x - -3)(x - -14/3)(x - 1/2) = 0
x - -3 = 0
x - -14/3 = 0
x - 1/2 = 0
x = -3
x = -14/3
x = 1/2 |
Compute the solution of x^2 + 23/2x + 51/2 = 0 | x^2 + 23/2x + 51/2 = 0
(x - -17/2)(x - -3) = 0
x - -17/2 = 0 or x - -3 = 0
x = -17/2
x = -3 |
Find x for 10x - 10/7 = 0 | 10x - 10/7 = 0
10x = 10/7
x = 10/7 / 10
x = 1/7 |
Solve quickly: x^3 + 41/6x^2 + 275/48x - 475/24 = 0 | x^3 + 41/6x^2 + 275/48x - 475/24 = 0
(x - -19/4)(x - -10/3)(x - 5/4) = 0
x - -19/4 = 0
x - -10/3 = 0
x - 5/4 = 0
x = -19/4
x = -10/3
x = 5/4 |
Solve quickly: x^2 + 1x - 15/4 = 0 | x^2 + 1x - 15/4 = 0
(x - 3/2)(x - -5/2) = 0
x - 3/2 = 0 or x - -5/2 = 0
x = 3/2
x = -5/2 |
Solve the system:
8x + 10y = 221/2
4x + 8y = 62 | 8x + 10y = 221/2
4x + 8y = 62
Using elimination
4*(8x + 10y = 221/2)
8*(4x + 8y = 62)
32x + 40y = 442
32x + 64y = 496
Subtract equations
-24y = -54
y = -54/-24
y = 9/4
Substitute y
8x + 10(9/4) = 221/2
8x = 88
x = 88/8
x = 11 |
Solve the equation x^2 - 79/15x + 14/5 = 0 | x^2 - 79/15x + 14/5 = 0
(x - 3/5)(x - 14/3) = 0
x - 3/5 = 0 or x - 14/3 = 0
x = 3/5
x = 14/3 |
Solve the equations:
3x + 5y = -5/3
3x + 8y = -8/3 | 3x + 5y = -5/3
3x + 8y = -8/3
Using elimination
3*(3x + 5y = -5/3)
3*(3x + 8y = -8/3)
9x + 15y = -5
9x + 24y = -8
Subtract equations
-9y = 3
y = 3/-9
y = -1/3
Substitute y
3x + 5(-1/3) = -5/3
3x = 0
x = 0/3
x = 0 |
Solve simultaneously:
1x + 6y = -20/3
8x + 7y = -316/9 | 1x + 6y = -20/3
8x + 7y = -316/9
Using elimination
8*(1x + 6y = -20/3)
1*(8x + 7y = -316/9)
8x + 48y = -160/3
8x + 7y = -316/9
Subtract equations
41y = -164/9
y = -164/9/41
y = -4/9
Substitute y
1x + 6(-4/9) = -20/3
1x = -4
x = -4/1
x = -4 |
Find x for 1x - 9/5 = 0 | 1x - 9/5 = 0
1x = 9/5
x = 9/5 / 1
x = 9/5 |
Find the solution to x^2 - 37/10x + 21/10 = 0 | x^2 - 37/10x + 21/10 = 0
(x - 3)(x - 7/10) = 0
x - 3 = 0 or x - 7/10 = 0
x = 3
x = 7/10 |
Solve simultaneously:
2x + 4y = -42
8x + 2y = -84 | 2x + 4y = -42
8x + 2y = -84
Using elimination
8*(2x + 4y = -42)
2*(8x + 2y = -84)
16x + 32y = -336
16x + 4y = -168
Subtract equations
28y = -168
y = -168/28
y = -6
Substitute y
2x + 4(-6) = -42
2x = -18
x = -18/2
x = -9 |
Find the solution to 6x - 3 = 0 | 6x - 3 = 0
6x = 3
x = 3 / 6
x = 1/2 |
Solve the equations:
4x + 8y = 88
3x + 7y = 78 | 4x + 8y = 88
3x + 7y = 78
Using elimination
3*(4x + 8y = 88)
4*(3x + 7y = 78)
12x + 24y = 264
12x + 28y = 312
Subtract equations
-4y = -48
y = -48/-4
y = 12
Substitute y
4x + 8(12) = 88
4x = -8
x = -8/4
x = -2 |
Solve the equation 9x + 9 = 0 | 9x + 9 = 0
9x = -9
x = -9 / 9
x = -1 |
What value of x satisfies x^2 - 177/35x + 44/7 = 0 | x^2 - 177/35x + 44/7 = 0
(x - 20/7)(x - 11/5) = 0
x - 20/7 = 0 or x - 11/5 = 0
x = 20/7
x = 11/5 |
Find x in 2x + 8 = 0 | 2x + 8 = 0
2x = -8
x = -8 / 2
x = -4 |
Solve the equation x^3 - 37/20x^2 - 203/320x + 17/160 = 0 | x^3 - 37/20x^2 - 203/320x + 17/160 = 0
(x - -2/5)(x - 17/8)(x - 1/8) = 0
x - -2/5 = 0
x - 17/8 = 0
x - 1/8 = 0
x = -2/5
x = 17/8
x = 1/8 |
Solve quickly: x^3 - 1077/56x^2 + 45/2x - 81/14 = 0 | x^3 - 1077/56x^2 + 45/2x - 81/14 = 0
(x - 6/7)(x - 18)(x - 3/8) = 0
x - 6/7 = 0
x - 18 = 0
x - 3/8 = 0
x = 6/7
x = 18
x = 3/8 |
Compute the solution of x^3 - 25/2x^2 - 19/2x + 39 = 0 | x^3 - 25/2x^2 - 19/2x + 39 = 0
(x - 3/2)(x - 13)(x - -2) = 0
x - 3/2 = 0
x - 13 = 0
x - -2 = 0
x = 3/2
x = 13
x = -2 |
Find the solution to 3x - 17/2 = 0 | 3x - 17/2 = 0
3x = 17/2
x = 17/2 / 3
x = 17/6 |
What value of x satisfies x^3 - 32/15x^2 + 7/5x - 4/15 = 0 | x^3 - 32/15x^2 + 7/5x - 4/15 = 0
(x - 1)(x - 4/5)(x - 1/3) = 0
x - 1 = 0
x - 4/5 = 0
x - 1/3 = 0
x = 1
x = 4/5
x = 1/3 |
Determine x in x^2 - 1/15x - 8/3 = 0 | x^2 - 1/15x - 8/3 = 0
(x - -8/5)(x - 5/3) = 0
x - -8/5 = 0 or x - 5/3 = 0
x = -8/5
x = 5/3 |
Find x for 7x - 63/5 = 0 | 7x - 63/5 = 0
7x = 63/5
x = 63/5 / 7
x = 9/5 |
Solve the equation x^3 + 293/56x^2 + 725/112x - 25/28 = 0 | x^3 + 293/56x^2 + 725/112x - 25/28 = 0
(x - -5/2)(x - -20/7)(x - 1/8) = 0
x - -5/2 = 0
x - -20/7 = 0
x - 1/8 = 0
x = -5/2
x = -20/7
x = 1/8 |
Find x for x^3 - 117/10x^2 + 6x + 187/10 = 0 | x^3 - 117/10x^2 + 6x + 187/10 = 0
(x - 11)(x - 17/10)(x - -1) = 0
x - 11 = 0
x - 17/10 = 0
x - -1 = 0
x = 11
x = 17/10
x = -1 |
Find x in x^3 - 15/4x^2 - 83/8x + 165/8 = 0 | x^3 - 15/4x^2 - 83/8x + 165/8 = 0
(x - 3/2)(x - -11/4)(x - 5) = 0
x - 3/2 = 0
x - -11/4 = 0
x - 5 = 0
x = 3/2
x = -11/4
x = 5 |
Determine x in x^2 + 7/8x + 3/16 = 0 | x^2 + 7/8x + 3/16 = 0
(x - -1/2)(x - -3/8) = 0
x - -1/2 = 0 or x - -3/8 = 0
x = -1/2
x = -3/8 |
What value of x satisfies x^3 + 3x^2 - 4x - 12 = 0 | x^3 + 3x^2 - 4x - 12 = 0
(x - -3)(x - -2)(x - 2) = 0
x - -3 = 0
x - -2 = 0
x - 2 = 0
x = -3
x = -2
x = 2 |
What value of x satisfies x^3 - 253/70x^2 + 271/70x - 9/7 = 0 | x^3 - 253/70x^2 + 271/70x - 9/7 = 0
(x - 9/10)(x - 2)(x - 5/7) = 0
x - 9/10 = 0
x - 2 = 0
x - 5/7 = 0
x = 9/10
x = 2
x = 5/7 |
Find x for x^2 - 13/9x + 22/81 = 0 | x^2 - 13/9x + 22/81 = 0
(x - 11/9)(x - 2/9) = 0
x - 11/9 = 0 or x - 2/9 = 0
x = 11/9
x = 2/9 |
What value of x satisfies x^3 + 47/24x^2 + 7/6x + 5/24 = 0 | x^3 + 47/24x^2 + 7/6x + 5/24 = 0
(x - -1)(x - -5/8)(x - -1/3) = 0
x - -1 = 0
x - -5/8 = 0
x - -1/3 = 0
x = -1
x = -5/8
x = -1/3 |
Determine x in x^2 + 24/7x + 143/49 = 0 | x^2 + 24/7x + 143/49 = 0
(x - -13/7)(x - -11/7) = 0
x - -13/7 = 0 or x - -11/7 = 0
x = -13/7
x = -11/7 |
Determine x in 1x - 1 = 0 | 1x - 1 = 0
1x = 1
x = 1 / 1
x = 1 |
Determine x in x^2 + 22/5x - 9/20 = 0 | x^2 + 22/5x - 9/20 = 0
(x - 1/10)(x - -9/2) = 0
x - 1/10 = 0 or x - -9/2 = 0
x = 1/10
x = -9/2 |
Solve the equation 1x - 7/6 = 0 | 1x - 7/6 = 0
1x = 7/6
x = 7/6 / 1
x = 7/6 |
Solve simultaneously:
10x + 1y = -17
9x + 6y = -357/10 | 10x + 1y = -17
9x + 6y = -357/10
Using elimination
9*(10x + 1y = -17)
10*(9x + 6y = -357/10)
90x + 9y = -153
90x + 60y = -357
Subtract equations
-51y = 204
y = 204/-51
y = -4
Substitute y
10x + 1(-4) = -17
10x = -13
x = -13/10
x = -13/10 |
Determine x in x^3 - 20x^2 - 9x + 180 = 0 | x^3 - 20x^2 - 9x + 180 = 0
(x - -3)(x - 3)(x - 20) = 0
x - -3 = 0
x - 3 = 0
x - 20 = 0
x = -3
x = 3
x = 20 |
Solve the equation 1x + 15/2 = 0 | 1x + 15/2 = 0
1x = -15/2
x = -15/2 / 1
x = -15/2 |
Solve simultaneously:
3x + 7y = -109/2
9x + 7y = -75/2 | 3x + 7y = -109/2
9x + 7y = -75/2
Using elimination
9*(3x + 7y = -109/2)
3*(9x + 7y = -75/2)
27x + 63y = -981/2
27x + 21y = -225/2
Subtract equations
42y = -378
y = -378/42
y = -9
Substitute y
3x + 7(-9) = -109/2
3x = 17/2
x = 17/2/3
x = 17/6 |
Solve simultaneously:
10x + 4y = -524/9
8x + 5y = -646/9 | 10x + 4y = -524/9
8x + 5y = -646/9
Using elimination
8*(10x + 4y = -524/9)
10*(8x + 5y = -646/9)
80x + 32y = -4192/9
80x + 50y = -6460/9
Subtract equations
-18y = 252
y = 252/-18
y = -14
Substitute y
10x + 4(-14) = -524/9
10x = -20/9
x = -20/9/10
x = -2/9 |
Compute the solution of 8x + 8/5 = 0 | 8x + 8/5 = 0
8x = -8/5
x = -8/5 / 8
x = -1/5 |
Find the solution to 4x + 32/3 = 0 | 4x + 32/3 = 0
4x = -32/3
x = -32/3 / 4
x = -8/3 |
Find x for x^3 - 227/30x^2 + 41/10x + 38/3 = 0 | x^3 - 227/30x^2 + 41/10x + 38/3 = 0
(x - 19/10)(x - 20/3)(x - -1) = 0
x - 19/10 = 0
x - 20/3 = 0
x - -1 = 0
x = 19/10
x = 20/3
x = -1 |
Solve simultaneously:
6x + 3y = 81/2
7x + 5y = 279/4 | 6x + 3y = 81/2
7x + 5y = 279/4
Using elimination
7*(6x + 3y = 81/2)
6*(7x + 5y = 279/4)
42x + 21y = 567/2
42x + 30y = 837/2
Subtract equations
-9y = -135
y = -135/-9
y = 15
Substitute y
6x + 3(15) = 81/2
6x = -9/2
x = -9/2/6
x = -3/4 |
What value of x satisfies 4x + 4 = 0 | 4x + 4 = 0
4x = -4
x = -4 / 4
x = -1 |
Find the solution to x^2 - 169 = 0 | x^2 - 169 = 0
(x - -13)(x - 13) = 0
x - -13 = 0 or x - 13 = 0
x = -13
x = 13 |
What value of x satisfies 7x - 35 = 0 | 7x - 35 = 0
7x = 35
x = 35 / 7
x = 5 |
What value of x satisfies x^3 - 157/36x^2 + 211/36x - 5/2 = 0 | x^3 - 157/36x^2 + 211/36x - 5/2 = 0
(x - 1)(x - 9/4)(x - 10/9) = 0
x - 1 = 0
x - 9/4 = 0
x - 10/9 = 0
x = 1
x = 9/4
x = 10/9 |
Solve the equations:
6x + 3y = 102/5
3x + 8y = 246/5 | 6x + 3y = 102/5
3x + 8y = 246/5
Using elimination
3*(6x + 3y = 102/5)
6*(3x + 8y = 246/5)
18x + 9y = 306/5
18x + 48y = 1476/5
Subtract equations
-39y = -234
y = -234/-39
y = 6
Substitute y
6x + 3(6) = 102/5
6x = 12/5
x = 12/5/6
x = 2/5 |
Determine x in x^2 + 5/21x - 50/21 = 0 | x^2 + 5/21x - 50/21 = 0
(x - -5/3)(x - 10/7) = 0
x - -5/3 = 0 or x - 10/7 = 0
x = -5/3
x = 10/7 |
Solve simultaneously:
2x + 7y = -41/8
6x + 3y = 3/8 | 2x + 7y = -41/8
6x + 3y = 3/8
Using elimination
6*(2x + 7y = -41/8)
2*(6x + 3y = 3/8)
12x + 42y = -123/4
12x + 6y = 3/4
Subtract equations
36y = -63/2
y = -63/2/36
y = -7/8
Substitute y
2x + 7(-7/8) = -41/8
2x = 1
x = 1/2
x = 1/2 |
Find x in x^2 + 8/5x - 48/5 = 0 | x^2 + 8/5x - 48/5 = 0
(x - -4)(x - 12/5) = 0
x - -4 = 0 or x - 12/5 = 0
x = -4
x = 12/5 |
Solve 5x - 85/4 = 0 | 5x - 85/4 = 0
5x = 85/4
x = 85/4 / 5
x = 17/4 |
Find x in 7x + 56/3 = 0 | 7x + 56/3 = 0
7x = -56/3
x = -56/3 / 7
x = -8/3 |
Solve quickly: 2x + 11/3 = 0 | 2x + 11/3 = 0
2x = -11/3
x = -11/3 / 2
x = -11/6 |
Solve quickly: x^2 + 77/30x + 49/30 = 0 | x^2 + 77/30x + 49/30 = 0
(x - -7/6)(x - -7/5) = 0
x - -7/6 = 0 or x - -7/5 = 0
x = -7/6
x = -7/5 |
Solve the system:
4x + 6y = -103/20
8x + 9y = -277/40 | 4x + 6y = -103/20
8x + 9y = -277/40
Using elimination
8*(4x + 6y = -103/20)
4*(8x + 9y = -277/40)
32x + 48y = -206/5
32x + 36y = -277/10
Subtract equations
12y = -27/2
y = -27/2/12
y = -9/8
Substitute y
4x + 6(-9/8) = -103/20
4x = 8/5
x = 8/5/4
x = 2/5 |
Find x for 7x - 14 = 0 | 7x - 14 = 0
7x = 14
x = 14 / 7
x = 2 |
Find the solution to 5x + 10 = 0 | 5x + 10 = 0
5x = -10
x = -10 / 5
x = -2 |
Find x for 2x - 4 = 0 | 2x - 4 = 0
2x = 4
x = 4 / 2
x = 2 |
Compute the solution of 1x + 17/3 = 0 | 1x + 17/3 = 0
1x = -17/3
x = -17/3 / 1
x = -17/3 |
Solve the system:
1x + 6y = 1
7x + 3y = 67/4 | 1x + 6y = 1
7x + 3y = 67/4
Using elimination
7*(1x + 6y = 1)
1*(7x + 3y = 67/4)
7x + 42y = 7
7x + 3y = 67/4
Subtract equations
39y = -39/4
y = -39/4/39
y = -1/4
Substitute y
1x + 6(-1/4) = 1
1x = 5/2
x = 5/2/1
x = 5/2 |
Determine x in x^3 + 65/8x^2 + 337/16x + 273/16 = 0 | x^3 + 65/8x^2 + 337/16x + 273/16 = 0
(x - -13/8)(x - -3)(x - -7/2) = 0
x - -13/8 = 0
x - -3 = 0
x - -7/2 = 0
x = -13/8
x = -3
x = -7/2 |
Solve the equation x^3 + 29/7x^2 - 247/63x - 845/63 = 0 | x^3 + 29/7x^2 - 247/63x - 845/63 = 0
(x - -13/3)(x - -5/3)(x - 13/7) = 0
x - -13/3 = 0
x - -5/3 = 0
x - 13/7 = 0
x = -13/3
x = -5/3
x = 13/7 |
Find the solution to 1x - 16 = 0 | 1x - 16 = 0
1x = 16
x = 16 / 1
x = 16 |
What value of x satisfies x^3 + 29/8x^2 - 271/32x - 255/32 = 0 | x^3 + 29/8x^2 - 271/32x - 255/32 = 0
(x - -3/4)(x - 17/8)(x - -5) = 0
x - -3/4 = 0
x - 17/8 = 0
x - -5 = 0
x = -3/4
x = 17/8
x = -5 |
Find the solution to 8x - 19 = 0 | 8x - 19 = 0
8x = 19
x = 19 / 8
x = 19/8 |
Find x and y such that
5x + 7y = -53/8
1x + 8y = -37/8 | 5x + 7y = -53/8
1x + 8y = -37/8
Using elimination
1*(5x + 7y = -53/8)
5*(1x + 8y = -37/8)
5x + 7y = -53/8
5x + 40y = -185/8
Subtract equations
-33y = 33/2
y = 33/2/-33
y = -1/2
Substitute y
5x + 7(-1/2) = -53/8
5x = -25/8
x = -25/8/5
x = -5/8 |
Find x and y such that
6x + 8y = 47/3
10x + 5y = 115/6 | 6x + 8y = 47/3
10x + 5y = 115/6
Using elimination
10*(6x + 8y = 47/3)
6*(10x + 5y = 115/6)
60x + 80y = 470/3
60x + 30y = 115
Subtract equations
50y = 125/3
y = 125/3/50
y = 5/6
Substitute y
6x + 8(5/6) = 47/3
6x = 9
x = 9/6
x = 3/2 |
Determine x in 9x - 12 = 0 | 9x - 12 = 0
9x = 12
x = 12 / 9
x = 4/3 |
Find x for x^3 - 28/3x^2 + 32/3x = 0 | x^3 - 28/3x^2 + 32/3x = 0
(x - 4/3)(x - 8)(x - 0) = 0
x - 4/3 = 0
x - 8 = 0
x - 0 = 0
x = 4/3
x = 8
x = 0 |
Find x and y such that
8x + 10y = 47/2
8x + 6y = 41/2 | 8x + 10y = 47/2
8x + 6y = 41/2
Using elimination
8*(8x + 10y = 47/2)
8*(8x + 6y = 41/2)
64x + 80y = 188
64x + 48y = 164
Subtract equations
32y = 24
y = 24/32
y = 3/4
Substitute y
8x + 10(3/4) = 47/2
8x = 16
x = 16/8
x = 2 |
Solve the system:
5x + 7y = 91/12
10x + 3y = 17 | 5x + 7y = 91/12
10x + 3y = 17
Using elimination
10*(5x + 7y = 91/12)
5*(10x + 3y = 17)
50x + 70y = 455/6
50x + 15y = 85
Subtract equations
55y = -55/6
y = -55/6/55
y = -1/6
Substitute y
5x + 7(-1/6) = 91/12
5x = 35/4
x = 35/4/5
x = 7/4 |
Solve simultaneously:
3x + 2y = 47/4
4x + 5y = 43/2 | 3x + 2y = 47/4
4x + 5y = 43/2
Using elimination
4*(3x + 2y = 47/4)
3*(4x + 5y = 43/2)
12x + 8y = 47
12x + 15y = 129/2
Subtract equations
-7y = -35/2
y = -35/2/-7
y = 5/2
Substitute y
3x + 2(5/2) = 47/4
3x = 27/4
x = 27/4/3
x = 9/4 |
Find the solution to x^3 - 161/15x^2 - 1174/15x - 96 = 0 | x^3 - 161/15x^2 - 1174/15x - 96 = 0
(x - -5/3)(x - 16)(x - -18/5) = 0
x - -5/3 = 0
x - 16 = 0
x - -18/5 = 0
x = -5/3
x = 16
x = -18/5 |
Solve simultaneously:
7x + 3y = -288/5
10x + 7y = -387/5 | 7x + 3y = -288/5
10x + 7y = -387/5
Using elimination
10*(7x + 3y = -288/5)
7*(10x + 7y = -387/5)
70x + 30y = -576
70x + 49y = -2709/5
Subtract equations
-19y = -171/5
y = -171/5/-19
y = 9/5
Substitute y
7x + 3(9/5) = -288/5
7x = -63
x = -63/7
x = -9 |
Solve the equation 5x - 60/7 = 0 | 5x - 60/7 = 0
5x = 60/7
x = 60/7 / 5
x = 12/7 |
Solve the equations:
6x + 4y = 12
6x + 2y = 11 | 6x + 4y = 12
6x + 2y = 11
Using elimination
6*(6x + 4y = 12)
6*(6x + 2y = 11)
36x + 24y = 72
36x + 12y = 66
Subtract equations
12y = 6
y = 6/12
y = 1/2
Substitute y
6x + 4(1/2) = 12
6x = 10
x = 10/6
x = 5/3 |
Solve simultaneously:
7x + 2y = -134/35
8x + 9y = 384/35 | 7x + 2y = -134/35
8x + 9y = 384/35
Using elimination
8*(7x + 2y = -134/35)
7*(8x + 9y = 384/35)
56x + 16y = -1072/35
56x + 63y = 384/5
Subtract equations
-47y = -752/7
y = -752/7/-47
y = 16/7
Substitute y
7x + 2(16/7) = -134/35
7x = -42/5
x = -42/5/7
x = -6/5 |
Solve the equation x^2 + 13/6x + 5/6 = 0 | x^2 + 13/6x + 5/6 = 0
(x - -1/2)(x - -5/3) = 0
x - -1/2 = 0 or x - -5/3 = 0
x = -1/2
x = -5/3 |
Find x and y such that
7x + 7y = 539/15
3x + 1y = 69/5 | 7x + 7y = 539/15
3x + 1y = 69/5
Using elimination
3*(7x + 7y = 539/15)
7*(3x + 1y = 69/5)
21x + 21y = 539/5
21x + 7y = 483/5
Subtract equations
14y = 56/5
y = 56/5/14
y = 4/5
Substitute y
7x + 7(4/5) = 539/15
7x = 91/3
x = 91/3/7
x = 13/3 |
Compute the solution of x^3 + 61/3x^2 + 256/3x + 80 = 0 | x^3 + 61/3x^2 + 256/3x + 80 = 0
(x - -15)(x - -4/3)(x - -4) = 0
x - -15 = 0
x - -4/3 = 0
x - -4 = 0
x = -15
x = -4/3
x = -4 |
Solve quickly: x^3 - 664/63x^2 + 1297/63x - 136/63 = 0 | x^3 - 664/63x^2 + 1297/63x - 136/63 = 0
(x - 17/7)(x - 8)(x - 1/9) = 0
x - 17/7 = 0
x - 8 = 0
x - 1/9 = 0
x = 17/7
x = 8
x = 1/9 |
Solve the equation 10x + 140/3 = 0 | 10x + 140/3 = 0
10x = -140/3
x = -140/3 / 10
x = -14/3 |
Find the solution to x^3 - 34/15x^2 - 113/15x + 44/5 = 0 | x^3 - 34/15x^2 - 113/15x + 44/5 = 0
(x - 1)(x - 11/3)(x - -12/5) = 0
x - 1 = 0
x - 11/3 = 0
x - -12/5 = 0
x = 1
x = 11/3
x = -12/5 |
Solve 6x + 78 = 0 | 6x + 78 = 0
6x = -78
x = -78 / 6
x = -13 |
Find x and y such that
4x + 6y = -48
10x + 2y = 10 | 4x + 6y = -48
10x + 2y = 10
Using elimination
10*(4x + 6y = -48)
4*(10x + 2y = 10)
40x + 60y = -480
40x + 8y = 40
Subtract equations
52y = -520
y = -520/52
y = -10
Substitute y
4x + 6(-10) = -48
4x = 12
x = 12/4
x = 3 |
Determine x in 9x - 4 = 0 | 9x - 4 = 0
9x = 4
x = 4 / 9
x = 4/9 |
Solve the equations:
9x + 6y = 380/21
7x + 4y = 124/9 | 9x + 6y = 380/21
7x + 4y = 124/9
Using elimination
7*(9x + 6y = 380/21)
9*(7x + 4y = 124/9)
63x + 42y = 380/3
63x + 36y = 124
Subtract equations
6y = 8/3
y = 8/3/6
y = 4/9
Substitute y
9x + 6(4/9) = 380/21
9x = 108/7
x = 108/7/9
x = 12/7 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.