input stringlengths 13 66 | output stringlengths 30 276 |
|---|---|
What value of x satisfies 4x - 20 = 0 | 4x - 20 = 0
4x = 20
x = 20 / 4
x = 5 |
Find x and y such that
7x + 3y = -24
6x + 10y = -188/3 | 7x + 3y = -24
6x + 10y = -188/3
Using elimination
6*(7x + 3y = -24)
7*(6x + 10y = -188/3)
42x + 18y = -144
42x + 70y = -1316/3
Subtract equations
-52y = 884/3
y = 884/3/-52
y = -17/3
Substitute y
7x + 3(-17/3) = -24
7x = -7
x = -7/7
x = -1 |
Solve the equations:
4x + 4y = -32/7
7x + 4y = 1/7 | 4x + 4y = -32/7
7x + 4y = 1/7
Using elimination
7*(4x + 4y = -32/7)
4*(7x + 4y = 1/7)
28x + 28y = -32
28x + 16y = 4/7
Subtract equations
12y = -228/7
y = -228/7/12
y = -19/7
Substitute y
4x + 4(-19/7) = -32/7
4x = 44/7
x = 44/7/4
x = 11/7 |
Solve 4x + 64/5 = 0 | 4x + 64/5 = 0
4x = -64/5
x = -64/5 / 4
x = -16/5 |
Solve the equation 1x - 3 = 0 | 1x - 3 = 0
1x = 3
x = 3 / 1
x = 3 |
What value of x satisfies 3x - 15 = 0 | 3x - 15 = 0
3x = 15
x = 15 / 3
x = 5 |
Determine x in x^2 + 23x + 120 = 0 | x^2 + 23x + 120 = 0
(x - -15)(x - -8) = 0
x - -15 = 0 or x - -8 = 0
x = -15
x = -8 |
Compute the solution of 6x - 114 = 0 | 6x - 114 = 0
6x = 114
x = 114 / 6
x = 19 |
What value of x satisfies x^2 - 3/2x + 2/9 = 0 | x^2 - 3/2x + 2/9 = 0
(x - 1/6)(x - 4/3) = 0
x - 1/6 = 0 or x - 4/3 = 0
x = 1/6
x = 4/3 |
Solve the system:
8x + 7y = -29
8x + 9y = -35 | 8x + 7y = -29
8x + 9y = -35
Using elimination
8*(8x + 7y = -29)
8*(8x + 9y = -35)
64x + 56y = -232
64x + 72y = -280
Subtract equations
-16y = 48
y = 48/-16
y = -3
Substitute y
8x + 7(-3) = -29
8x = -8
x = -8/8
x = -1 |
Find x in x^3 - 241/180x^2 + 9/20x - 2/45 = 0 | x^3 - 241/180x^2 + 9/20x - 2/45 = 0
(x - 8/9)(x - 1/4)(x - 1/5) = 0
x - 8/9 = 0
x - 1/4 = 0
x - 1/5 = 0
x = 8/9
x = 1/4
x = 1/5 |
Solve the equation 8x - 128/5 = 0 | 8x - 128/5 = 0
8x = 128/5
x = 128/5 / 8
x = 16/5 |
Solve the equation 5x + 55/9 = 0 | 5x + 55/9 = 0
5x = -55/9
x = -55/9 / 5
x = -11/9 |
Determine x in x^3 + 93/56x^2 - 85/112x - 75/112 = 0 | x^3 + 93/56x^2 - 85/112x - 75/112 = 0
(x - -15/8)(x - 5/7)(x - -1/2) = 0
x - -15/8 = 0
x - 5/7 = 0
x - -1/2 = 0
x = -15/8
x = 5/7
x = -1/2 |
Find x for x^3 - 296/35x^2 + 111/7x - 234/35 = 0 | x^3 - 296/35x^2 + 111/7x - 234/35 = 0
(x - 6)(x - 13/7)(x - 3/5) = 0
x - 6 = 0
x - 13/7 = 0
x - 3/5 = 0
x = 6
x = 13/7
x = 3/5 |
Find x in 7x + 56/5 = 0 | 7x + 56/5 = 0
7x = -56/5
x = -56/5 / 7
x = -8/5 |
What value of x satisfies 9x + 90 = 0 | 9x + 90 = 0
9x = -90
x = -90 / 9
x = -10 |
Find x for 3x + 15/7 = 0 | 3x + 15/7 = 0
3x = -15/7
x = -15/7 / 3
x = -5/7 |
Find x and y such that
1x + 9y = 13
7x + 8y = -281/9 | 1x + 9y = 13
7x + 8y = -281/9
Using elimination
7*(1x + 9y = 13)
1*(7x + 8y = -281/9)
7x + 63y = 91
7x + 8y = -281/9
Subtract equations
55y = 1100/9
y = 1100/9/55
y = 20/9
Substitute y
1x + 9(20/9) = 13
1x = -7
x = -7/1
x = -7 |
Solve the equations:
7x + 1y = 113/4
2x + 9y = 41/4 | 7x + 1y = 113/4
2x + 9y = 41/4
Using elimination
2*(7x + 1y = 113/4)
7*(2x + 9y = 41/4)
14x + 2y = 113/2
14x + 63y = 287/4
Subtract equations
-61y = -61/4
y = -61/4/-61
y = 1/4
Substitute y
7x + 1(1/4) = 113/4
7x = 28
x = 28/7
x = 4 |
Find x in x^3 + 153/20x^2 + 107/10x - 51/4 = 0 | x^3 + 153/20x^2 + 107/10x - 51/4 = 0
(x - 3/4)(x - -5)(x - -17/5) = 0
x - 3/4 = 0
x - -5 = 0
x - -17/5 = 0
x = 3/4
x = -5
x = -17/5 |
Compute the solution of x^2 + 17/9x - 10/3 = 0 | x^2 + 17/9x - 10/3 = 0
(x - -3)(x - 10/9) = 0
x - -3 = 0 or x - 10/9 = 0
x = -3
x = 10/9 |
Find x in x^2 + 87/35x + 54/35 = 0 | x^2 + 87/35x + 54/35 = 0
(x - -6/5)(x - -9/7) = 0
x - -6/5 = 0 or x - -9/7 = 0
x = -6/5
x = -9/7 |
Find x for 7x - 21/2 = 0 | 7x - 21/2 = 0
7x = 21/2
x = 21/2 / 7
x = 3/2 |
Determine x in x^3 - 301/90x^2 - 493/135x + 3179/270 = 0 | x^3 - 301/90x^2 - 493/135x + 3179/270 = 0
(x - -17/9)(x - 17/5)(x - 11/6) = 0
x - -17/9 = 0
x - 17/5 = 0
x - 11/6 = 0
x = -17/9
x = 17/5
x = 11/6 |
Solve x^3 - 47/10x^2 + 397/80x - 13/16 = 0 | x^3 - 47/10x^2 + 397/80x - 13/16 = 0
(x - 1/5)(x - 5/4)(x - 13/4) = 0
x - 1/5 = 0
x - 5/4 = 0
x - 13/4 = 0
x = 1/5
x = 5/4
x = 13/4 |
Compute the solution of x^2 - 37/4x + 51/8 = 0 | x^2 - 37/4x + 51/8 = 0
(x - 17/2)(x - 3/4) = 0
x - 17/2 = 0 or x - 3/4 = 0
x = 17/2
x = 3/4 |
Solve the equation x^3 - 29/2x^2 - 47/2x - 8 = 0 | x^3 - 29/2x^2 - 47/2x - 8 = 0
(x - 16)(x - -1)(x - -1/2) = 0
x - 16 = 0
x - -1 = 0
x - -1/2 = 0
x = 16
x = -1
x = -1/2 |
Solve the equations:
4x + 9y = -28/3
7x + 6y = 1 | 4x + 9y = -28/3
7x + 6y = 1
Using elimination
7*(4x + 9y = -28/3)
4*(7x + 6y = 1)
28x + 63y = -196/3
28x + 24y = 4
Subtract equations
39y = -208/3
y = -208/3/39
y = -16/9
Substitute y
4x + 9(-16/9) = -28/3
4x = 20/3
x = 20/3/4
x = 5/3 |
Solve the system:
4x + 2y = -75
3x + 6y = -63 | 4x + 2y = -75
3x + 6y = -63
Using elimination
3*(4x + 2y = -75)
4*(3x + 6y = -63)
12x + 6y = -225
12x + 24y = -252
Subtract equations
-18y = 27
y = 27/-18
y = -3/2
Substitute y
4x + 2(-3/2) = -75
4x = -72
x = -72/4
x = -18 |
Solve quickly: x^2 + 11/3x - 4/3 = 0 | x^2 + 11/3x - 4/3 = 0
(x - 1/3)(x - -4) = 0
x - 1/3 = 0 or x - -4 = 0
x = 1/3
x = -4 |
Find x in x^3 - 719/35x^2 + 981/35x + 171/7 = 0 | x^3 - 719/35x^2 + 981/35x + 171/7 = 0
(x - -3/5)(x - 19)(x - 15/7) = 0
x - -3/5 = 0
x - 19 = 0
x - 15/7 = 0
x = -3/5
x = 19
x = 15/7 |
Find x for x^3 - 601/40x^2 + 221/20x + 231/5 = 0 | x^3 - 601/40x^2 + 221/20x + 231/5 = 0
(x - -11/8)(x - 12/5)(x - 14) = 0
x - -11/8 = 0
x - 12/5 = 0
x - 14 = 0
x = -11/8
x = 12/5
x = 14 |
Solve the system:
8x + 4y = 140/3
3x + 7y = 45 | 8x + 4y = 140/3
3x + 7y = 45
Using elimination
3*(8x + 4y = 140/3)
8*(3x + 7y = 45)
24x + 12y = 140
24x + 56y = 360
Subtract equations
-44y = -220
y = -220/-44
y = 5
Substitute y
8x + 4(5) = 140/3
8x = 80/3
x = 80/3/8
x = 10/3 |
Solve the system:
4x + 5y = -43/2
8x + 9y = -71/2 | 4x + 5y = -43/2
8x + 9y = -71/2
Using elimination
8*(4x + 5y = -43/2)
4*(8x + 9y = -71/2)
32x + 40y = -172
32x + 36y = -142
Subtract equations
4y = -30
y = -30/4
y = -15/2
Substitute y
4x + 5(-15/2) = -43/2
4x = 16
x = 16/4
x = 4 |
Find the solution to 2x - 6 = 0 | 2x - 6 = 0
2x = 6
x = 6 / 2
x = 3 |
Solve quickly: x^2 + 87/10x - 13 = 0 | x^2 + 87/10x - 13 = 0
(x - -10)(x - 13/10) = 0
x - -10 = 0 or x - 13/10 = 0
x = -10
x = 13/10 |
Find the solution to 3x - 27/10 = 0 | 3x - 27/10 = 0
3x = 27/10
x = 27/10 / 3
x = 9/10 |
Find x for x^2 - 67/18x + 187/54 = 0 | x^2 - 67/18x + 187/54 = 0
(x - 11/6)(x - 17/9) = 0
x - 11/6 = 0 or x - 17/9 = 0
x = 11/6
x = 17/9 |
Solve x^2 - 35/9x + 98/27 = 0 | x^2 - 35/9x + 98/27 = 0
(x - 7/3)(x - 14/9) = 0
x - 7/3 = 0 or x - 14/9 = 0
x = 7/3
x = 14/9 |
Find x for 9x - 54 = 0 | 9x - 54 = 0
9x = 54
x = 54 / 9
x = 6 |
Solve x^3 + 67/20x^2 + 9/40x - 99/40 = 0 | x^3 + 67/20x^2 + 9/40x - 99/40 = 0
(x - 3/4)(x - -3)(x - -11/10) = 0
x - 3/4 = 0
x - -3 = 0
x - -11/10 = 0
x = 3/4
x = -3
x = -11/10 |
Solve the system:
5x + 3y = 217/6
4x + 5y = 197/6 | 5x + 3y = 217/6
4x + 5y = 197/6
Using elimination
4*(5x + 3y = 217/6)
5*(4x + 5y = 197/6)
20x + 12y = 434/3
20x + 25y = 985/6
Subtract equations
-13y = -39/2
y = -39/2/-13
y = 3/2
Substitute y
5x + 3(3/2) = 217/6
5x = 95/3
x = 95/3/5
x = 19/3 |
Solve the equation 10x + 10 = 0 | 10x + 10 = 0
10x = -10
x = -10 / 10
x = -1 |
Solve quickly: x^3 - 89/36x^2 - 1121/54x - 2527/108 = 0 | x^3 - 89/36x^2 - 1121/54x - 2527/108 = 0
(x - 19/3)(x - -7/4)(x - -19/9) = 0
x - 19/3 = 0
x - -7/4 = 0
x - -19/9 = 0
x = 19/3
x = -7/4
x = -19/9 |
Compute the solution of x^3 - 29/30x^2 - 57/25x - 52/75 = 0 | x^3 - 29/30x^2 - 57/25x - 52/75 = 0
(x - -2/5)(x - -4/5)(x - 13/6) = 0
x - -2/5 = 0
x - -4/5 = 0
x - 13/6 = 0
x = -2/5
x = -4/5
x = 13/6 |
Determine x in x^3 - 29/12x^2 - 215/24x + 119/24 = 0 | x^3 - 29/12x^2 - 215/24x + 119/24 = 0
(x - 1/2)(x - -7/3)(x - 17/4) = 0
x - 1/2 = 0
x - -7/3 = 0
x - 17/4 = 0
x = 1/2
x = -7/3
x = 17/4 |
Find the solution to x^3 + 24/7x^2 - 127/63x - 680/63 = 0 | x^3 + 24/7x^2 - 127/63x - 680/63 = 0
(x - -17/7)(x - 5/3)(x - -8/3) = 0
x - -17/7 = 0
x - 5/3 = 0
x - -8/3 = 0
x = -17/7
x = 5/3
x = -8/3 |
Solve the equations:
5x + 6y = -325/28
7x + 6y = -311/28 | 5x + 6y = -325/28
7x + 6y = -311/28
Using elimination
7*(5x + 6y = -325/28)
5*(7x + 6y = -311/28)
35x + 42y = -325/4
35x + 30y = -1555/28
Subtract equations
12y = -180/7
y = -180/7/12
y = -15/7
Substitute y
5x + 6(-15/7) = -325/28
5x = 5/4
x = 5/4/5
x = 1/4 |
Solve the equations:
8x + 1y = -95/7
5x + 7y = -461/7 | 8x + 1y = -95/7
5x + 7y = -461/7
Using elimination
5*(8x + 1y = -95/7)
8*(5x + 7y = -461/7)
40x + 5y = -475/7
40x + 56y = -3688/7
Subtract equations
-51y = 459
y = 459/-51
y = -9
Substitute y
8x + 1(-9) = -95/7
8x = -32/7
x = -32/7/8
x = -4/7 |
Solve the system:
6x + 5y = 96/5
4x + 10y = 64/5 | 6x + 5y = 96/5
4x + 10y = 64/5
Using elimination
4*(6x + 5y = 96/5)
6*(4x + 10y = 64/5)
24x + 20y = 384/5
24x + 60y = 384/5
Subtract equations
-40y = 0
y = 0/-40
y = 0
Substitute y
6x + 5(0) = 96/5
6x = 96/5
x = 96/5/6
x = 16/5 |
Determine x in x^3 - 19/8x^2 - 289/100x + 5491/800 = 0 | x^3 - 19/8x^2 - 289/100x + 5491/800 = 0
(x - 17/10)(x - -17/10)(x - 19/8) = 0
x - 17/10 = 0
x - -17/10 = 0
x - 19/8 = 0
x = 17/10
x = -17/10
x = 19/8 |
Find the solution to 4x - 6 = 0 | 4x - 6 = 0
4x = 6
x = 6 / 4
x = 3/2 |
Solve quickly: x^3 + 2/5x^2 - 49/20x - 6/5 = 0 | x^3 + 2/5x^2 - 49/20x - 6/5 = 0
(x - -3/2)(x - -1/2)(x - 8/5) = 0
x - -3/2 = 0
x - -1/2 = 0
x - 8/5 = 0
x = -3/2
x = -1/2
x = 8/5 |
Compute the solution of x^2 - 53/14x + 24/7 = 0 | x^2 - 53/14x + 24/7 = 0
(x - 3/2)(x - 16/7) = 0
x - 3/2 = 0 or x - 16/7 = 0
x = 3/2
x = 16/7 |
Solve quickly: x^2 - 61/9x + 20/27 = 0 | x^2 - 61/9x + 20/27 = 0
(x - 1/9)(x - 20/3) = 0
x - 1/9 = 0 or x - 20/3 = 0
x = 1/9
x = 20/3 |
Find x in x^2 - 24/7x + 17/7 = 0 | x^2 - 24/7x + 17/7 = 0
(x - 1)(x - 17/7) = 0
x - 1 = 0 or x - 17/7 = 0
x = 1
x = 17/7 |
Solve the equations:
4x + 1y = 0
5x + 3y = -63/8 | 4x + 1y = 0
5x + 3y = -63/8
Using elimination
5*(4x + 1y = 0)
4*(5x + 3y = -63/8)
20x + 5y = 0
20x + 12y = -63/2
Subtract equations
-7y = 63/2
y = 63/2/-7
y = -9/2
Substitute y
4x + 1(-9/2) = 0
4x = 9/2
x = 9/2/4
x = 9/8 |
Solve 8x - 28/3 = 0 | 8x - 28/3 = 0
8x = 28/3
x = 28/3 / 8
x = 7/6 |
Find x in 9x - 108/7 = 0 | 9x - 108/7 = 0
9x = 108/7
x = 108/7 / 9
x = 12/7 |
Find x for x^3 + 1x^2 - 40/81x - 16/243 = 0 | x^3 + 1x^2 - 40/81x - 16/243 = 0
(x - -4/3)(x - 4/9)(x - -1/9) = 0
x - -4/3 = 0
x - 4/9 = 0
x - -1/9 = 0
x = -4/3
x = 4/9
x = -1/9 |
Solve the equations:
2x + 3y = 9/2
3x + 4y = 31/5 | 2x + 3y = 9/2
3x + 4y = 31/5
Using elimination
3*(2x + 3y = 9/2)
2*(3x + 4y = 31/5)
6x + 9y = 27/2
6x + 8y = 62/5
Subtract equations
1y = 11/10
y = 11/10/1
y = 11/10
Substitute y
2x + 3(11/10) = 9/2
2x = 6/5
x = 6/5/2
x = 3/5 |
Solve simultaneously:
7x + 5y = -7
7x + 9y = -7 | 7x + 5y = -7
7x + 9y = -7
Using elimination
7*(7x + 5y = -7)
7*(7x + 9y = -7)
49x + 35y = -49
49x + 63y = -49
Subtract equations
-28y = 0
y = 0/-28
y = 0
Substitute y
7x + 5(0) = -7
7x = -7
x = -7/7
x = -1 |
Find x in 6x - 45 = 0 | 6x - 45 = 0
6x = 45
x = 45 / 6
x = 15/2 |
Find x and y such that
5x + 2y = -179/6
7x + 6y = -107/2 | 5x + 2y = -179/6
7x + 6y = -107/2
Using elimination
7*(5x + 2y = -179/6)
5*(7x + 6y = -107/2)
35x + 14y = -1253/6
35x + 30y = -535/2
Subtract equations
-16y = 176/3
y = 176/3/-16
y = -11/3
Substitute y
5x + 2(-11/3) = -179/6
5x = -45/2
x = -45/2/5
x = -9/2 |
Solve the equations:
1x + 8y = 61/3
9x + 3y = -1 | 1x + 8y = 61/3
9x + 3y = -1
Using elimination
9*(1x + 8y = 61/3)
1*(9x + 3y = -1)
9x + 72y = 183
9x + 3y = -1
Subtract equations
69y = 184
y = 184/69
y = 8/3
Substitute y
1x + 8(8/3) = 61/3
1x = -1
x = -1/1
x = -1 |
Solve x^2 + 31/5x + 77/20 = 0 | x^2 + 31/5x + 77/20 = 0
(x - -7/10)(x - -11/2) = 0
x - -7/10 = 0 or x - -11/2 = 0
x = -7/10
x = -11/2 |
Find x and y such that
6x + 5y = -16/5
8x + 10y = -48/5 | 6x + 5y = -16/5
8x + 10y = -48/5
Using elimination
8*(6x + 5y = -16/5)
6*(8x + 10y = -48/5)
48x + 40y = -128/5
48x + 60y = -288/5
Subtract equations
-20y = 32
y = 32/-20
y = -8/5
Substitute y
6x + 5(-8/5) = -16/5
6x = 24/5
x = 24/5/6
x = 4/5 |
Solve the equation 9x - 99/8 = 0 | 9x - 99/8 = 0
9x = 99/8
x = 99/8 / 9
x = 11/8 |
Find x for x^2 + 15/8x + 13/32 = 0 | x^2 + 15/8x + 13/32 = 0
(x - -13/8)(x - -1/4) = 0
x - -13/8 = 0 or x - -1/4 = 0
x = -13/8
x = -1/4 |
Determine x in x^2 - 22/15x - 56/15 = 0 | x^2 - 22/15x - 56/15 = 0
(x - -4/3)(x - 14/5) = 0
x - -4/3 = 0 or x - 14/5 = 0
x = -4/3
x = 14/5 |
Solve the equations:
8x + 2y = -206/9
7x + 9y = -898/9 | 8x + 2y = -206/9
7x + 9y = -898/9
Using elimination
7*(8x + 2y = -206/9)
8*(7x + 9y = -898/9)
56x + 14y = -1442/9
56x + 72y = -7184/9
Subtract equations
-58y = 638
y = 638/-58
y = -11
Substitute y
8x + 2(-11) = -206/9
8x = -8/9
x = -8/9/8
x = -1/9 |
Compute the solution of x^3 - 17/5x^2 - 33/20x + 171/20 = 0 | x^3 - 17/5x^2 - 33/20x + 171/20 = 0
(x - 19/10)(x - -3/2)(x - 3) = 0
x - 19/10 = 0
x - -3/2 = 0
x - 3 = 0
x = 19/10
x = -3/2
x = 3 |
Solve the equation x^2 + 4/5x = 0 | x^2 + 4/5x = 0
(x - -4/5)(x - 0) = 0
x - -4/5 = 0 or x - 0 = 0
x = -4/5
x = 0 |
Solve the equation 1x - 4/7 = 0 | 1x - 4/7 = 0
1x = 4/7
x = 4/7 / 1
x = 4/7 |
Solve simultaneously:
10x + 8y = -134/9
1x + 6y = -109/15 | 10x + 8y = -134/9
1x + 6y = -109/15
Using elimination
1*(10x + 8y = -134/9)
10*(1x + 6y = -109/15)
10x + 8y = -134/9
10x + 60y = -218/3
Subtract equations
-52y = 520/9
y = 520/9/-52
y = -10/9
Substitute y
10x + 8(-10/9) = -134/9
10x = -6
x = -6/10
x = -3/5 |
Find the solution to 1x + 3/5 = 0 | 1x + 3/5 = 0
1x = -3/5
x = -3/5 / 1
x = -3/5 |
What value of x satisfies x^3 - 291/40x^2 + 97/8x - 15/4 = 0 | x^3 - 291/40x^2 + 97/8x - 15/4 = 0
(x - 2/5)(x - 15/8)(x - 5) = 0
x - 2/5 = 0
x - 15/8 = 0
x - 5 = 0
x = 2/5
x = 15/8
x = 5 |
Find x and y such that
4x + 2y = -50/3
9x + 6y = -83/2 | 4x + 2y = -50/3
9x + 6y = -83/2
Using elimination
9*(4x + 2y = -50/3)
4*(9x + 6y = -83/2)
36x + 18y = -150
36x + 24y = -166
Subtract equations
-6y = 16
y = 16/-6
y = -8/3
Substitute y
4x + 2(-8/3) = -50/3
4x = -34/3
x = -34/3/4
x = -17/6 |
Compute the solution of x^2 + 13/40x - 187/80 = 0 | x^2 + 13/40x - 187/80 = 0
(x - -17/10)(x - 11/8) = 0
x - -17/10 = 0 or x - 11/8 = 0
x = -17/10
x = 11/8 |
Find x for x^2 + 45/8x - 225/16 = 0 | x^2 + 45/8x - 225/16 = 0
(x - 15/8)(x - -15/2) = 0
x - 15/8 = 0 or x - -15/2 = 0
x = 15/8
x = -15/2 |
Find x for 7x - 7/4 = 0 | 7x - 7/4 = 0
7x = 7/4
x = 7/4 / 7
x = 1/4 |
Find the solution to x^3 + 89/56x^2 + 1/2x - 5/56 = 0 | x^3 + 89/56x^2 + 1/2x - 5/56 = 0
(x - -1)(x - -5/7)(x - 1/8) = 0
x - -1 = 0
x - -5/7 = 0
x - 1/8 = 0
x = -1
x = -5/7
x = 1/8 |
Find x in x^2 + 196/45x + 196/45 = 0 | x^2 + 196/45x + 196/45 = 0
(x - -14/9)(x - -14/5) = 0
x - -14/9 = 0 or x - -14/5 = 0
x = -14/9
x = -14/5 |
Solve simultaneously:
5x + 9y = -35/4
9x + 10y = 15/2 | 5x + 9y = -35/4
9x + 10y = 15/2
Using elimination
9*(5x + 9y = -35/4)
5*(9x + 10y = 15/2)
45x + 81y = -315/4
45x + 50y = 75/2
Subtract equations
31y = -465/4
y = -465/4/31
y = -15/4
Substitute y
5x + 9(-15/4) = -35/4
5x = 25
x = 25/5
x = 5 |
Solve quickly: x^2 + 103/7x + 10 = 0 | x^2 + 103/7x + 10 = 0
(x - -14)(x - -5/7) = 0
x - -14 = 0 or x - -5/7 = 0
x = -14
x = -5/7 |
What value of x satisfies 9x - 51 = 0 | 9x - 51 = 0
9x = 51
x = 51 / 9
x = 17/3 |
Determine x in x^2 - 163/21x + 190/21 = 0 | x^2 - 163/21x + 190/21 = 0
(x - 19/3)(x - 10/7) = 0
x - 19/3 = 0 or x - 10/7 = 0
x = 19/3
x = 10/7 |
Find x in 2x + 9/4 = 0 | 2x + 9/4 = 0
2x = -9/4
x = -9/4 / 2
x = -9/8 |
What value of x satisfies x^2 - 11/7x + 4/7 = 0 | x^2 - 11/7x + 4/7 = 0
(x - 4/7)(x - 1) = 0
x - 4/7 = 0 or x - 1 = 0
x = 4/7
x = 1 |
Determine x in 10x - 20 = 0 | 10x - 20 = 0
10x = 20
x = 20 / 10
x = 2 |
Find x and y such that
10x + 5y = -50
8x + 1y = -31 | 10x + 5y = -50
8x + 1y = -31
Using elimination
8*(10x + 5y = -50)
10*(8x + 1y = -31)
80x + 40y = -400
80x + 10y = -310
Subtract equations
30y = -90
y = -90/30
y = -3
Substitute y
10x + 5(-3) = -50
10x = -35
x = -35/10
x = -7/2 |
Solve the system:
10x + 5y = 1085/6
9x + 9y = 309/2 | 10x + 5y = 1085/6
9x + 9y = 309/2
Using elimination
9*(10x + 5y = 1085/6)
10*(9x + 9y = 309/2)
90x + 45y = 3255/2
90x + 90y = 1545
Subtract equations
-45y = 165/2
y = 165/2/-45
y = -11/6
Substitute y
10x + 5(-11/6) = 1085/6
10x = 190
x = 190/10
x = 19 |
Determine x in x^3 + 81/7x^2 + 240/7x + 16 = 0 | x^3 + 81/7x^2 + 240/7x + 16 = 0
(x - -7)(x - -4)(x - -4/7) = 0
x - -7 = 0
x - -4 = 0
x - -4/7 = 0
x = -7
x = -4
x = -4/7 |
Solve the system:
3x + 9y = 51/7
1x + 8y = 57/7 | 3x + 9y = 51/7
1x + 8y = 57/7
Using elimination
1*(3x + 9y = 51/7)
3*(1x + 8y = 57/7)
3x + 9y = 51/7
3x + 24y = 171/7
Subtract equations
-15y = -120/7
y = -120/7/-15
y = 8/7
Substitute y
3x + 9(8/7) = 51/7
3x = -3
x = -3/3
x = -1 |
Solve the system:
6x + 10y = -69
3x + 6y = -33 | 6x + 10y = -69
3x + 6y = -33
Using elimination
3*(6x + 10y = -69)
6*(3x + 6y = -33)
18x + 30y = -207
18x + 36y = -198
Subtract equations
-6y = -9
y = -9/-6
y = 3/2
Substitute y
6x + 10(3/2) = -69
6x = -84
x = -84/6
x = -14 |
Solve the equation 7x - 35/8 = 0 | 7x - 35/8 = 0
7x = 35/8
x = 35/8 / 7
x = 5/8 |
Find x and y such that
5x + 5y = 75/4
8x + 5y = 39/2 | 5x + 5y = 75/4
8x + 5y = 39/2
Using elimination
8*(5x + 5y = 75/4)
5*(8x + 5y = 39/2)
40x + 40y = 150
40x + 25y = 195/2
Subtract equations
15y = 105/2
y = 105/2/15
y = 7/2
Substitute y
5x + 5(7/2) = 75/4
5x = 5/4
x = 5/4/5
x = 1/4 |
What value of x satisfies x^3 - 94/35x^2 + 3/5x + 54/35 = 0 | x^3 - 94/35x^2 + 3/5x + 54/35 = 0
(x - 2)(x - 9/7)(x - -3/5) = 0
x - 2 = 0
x - 9/7 = 0
x - -3/5 = 0
x = 2
x = 9/7
x = -3/5 |
Solve x^3 + 113/45x^2 + 16/15x + 4/45 = 0 | x^3 + 113/45x^2 + 16/15x + 4/45 = 0
(x - -2)(x - -2/5)(x - -1/9) = 0
x - -2 = 0
x - -2/5 = 0
x - -1/9 = 0
x = -2
x = -2/5
x = -1/9 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.