input stringlengths 13 66 | output stringlengths 30 276 |
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Solve quickly: x^2 + 55/8x - 9 = 0 | x^2 + 55/8x - 9 = 0
(x - -8)(x - 9/8) = 0
x - -8 = 0 or x - 9/8 = 0
x = -8
x = 9/8 |
What value of x satisfies x^2 + 5/2x - 39/16 = 0 | x^2 + 5/2x - 39/16 = 0
(x - -13/4)(x - 3/4) = 0
x - -13/4 = 0 or x - 3/4 = 0
x = -13/4
x = 3/4 |
Determine x in 6x - 3 = 0 | 6x - 3 = 0
6x = 3
x = 3 / 6
x = 1/2 |
Determine x in x^2 + 226/45x + 209/45 = 0 | x^2 + 226/45x + 209/45 = 0
(x - -11/9)(x - -19/5) = 0
x - -11/9 = 0 or x - -19/5 = 0
x = -11/9
x = -19/5 |
Compute the solution of x^3 - 11/10x^2 - 114/25x + 297/50 = 0 | x^3 - 11/10x^2 - 114/25x + 297/50 = 0
(x - 9/5)(x - 3/2)(x - -11/5) = 0
x - 9/5 = 0
x - 3/2 = 0
x - -11/5 = 0
x = 9/5
x = 3/2
x = -11/5 |
Find x for 5x - 55/3 = 0 | 5x - 55/3 = 0
5x = 55/3
x = 55/3 / 5
x = 11/3 |
Find the solution to x^3 - 4/5x^2 - 73/100x + 11/25 = 0 | x^3 - 4/5x^2 - 73/100x + 11/25 = 0
(x - 11/10)(x - 1/2)(x - -4/5) = 0
x - 11/10 = 0
x - 1/2 = 0
x - -4/5 = 0
x = 11/10
x = 1/2
x = -4/5 |
Determine x in x^3 + 137/45x^2 + 124/45x + 32/45 = 0 | x^3 + 137/45x^2 + 124/45x + 32/45 = 0
(x - -1)(x - -8/5)(x - -4/9) = 0
x - -1 = 0
x - -8/5 = 0
x - -4/9 = 0
x = -1
x = -8/5
x = -4/9 |
Solve the equation x^3 + 34/21x^2 + 3/7x = 0 | x^3 + 34/21x^2 + 3/7x = 0
(x - -1/3)(x - -9/7)(x - 0) = 0
x - -1/3 = 0
x - -9/7 = 0
x - 0 = 0
x = -1/3
x = -9/7
x = 0 |
Solve x^3 + 15/4x^2 - 17/2x - 45/4 = 0 | x^3 + 15/4x^2 - 17/2x - 45/4 = 0
(x - -5)(x - 9/4)(x - -1) = 0
x - -5 = 0
x - 9/4 = 0
x - -1 = 0
x = -5
x = 9/4
x = -1 |
Compute the solution of x^2 - 9/2x + 5 = 0 | x^2 - 9/2x + 5 = 0
(x - 5/2)(x - 2) = 0
x - 5/2 = 0 or x - 2 = 0
x = 5/2
x = 2 |
Solve the equation x^2 + 29/4x + 15/2 = 0 | x^2 + 29/4x + 15/2 = 0
(x - -6)(x - -5/4) = 0
x - -6 = 0 or x - -5/4 = 0
x = -6
x = -5/4 |
Find x and y such that
9x + 8y = 671/6
7x + 2y = 353/6 | 9x + 8y = 671/6
7x + 2y = 353/6
Using elimination
7*(9x + 8y = 671/6)
9*(7x + 2y = 353/6)
63x + 56y = 4697/6
63x + 18y = 1059/2
Subtract equations
38y = 760/3
y = 760/3/38
y = 20/3
Substitute y
9x + 8(20/3) = 671/6
9x = 117/2
x = 117/2/9
x = 13/2 |
What value of x satisfies 4x + 28/3 = 0 | 4x + 28/3 = 0
4x = -28/3
x = -28/3 / 4
x = -7/3 |
Find x and y such that
8x + 2y = 109/15
1x + 5y = -43/6 | 8x + 2y = 109/15
1x + 5y = -43/6
Using elimination
1*(8x + 2y = 109/15)
8*(1x + 5y = -43/6)
8x + 2y = 109/15
8x + 40y = -172/3
Subtract equations
-38y = 323/5
y = 323/5/-38
y = -17/10
Substitute y
8x + 2(-17/10) = 109/15
8x = 32/3
x = 32/3/8
x = 4/3 |
Solve x^2 - 41/5x + 42/5 = 0 | x^2 - 41/5x + 42/5 = 0
(x - 7)(x - 6/5) = 0
x - 7 = 0 or x - 6/5 = 0
x = 7
x = 6/5 |
What value of x satisfies 4x + 18 = 0 | 4x + 18 = 0
4x = -18
x = -18 / 4
x = -9/2 |
Solve the system:
3x + 1y = 48/5
8x + 6y = 148/5 | 3x + 1y = 48/5
8x + 6y = 148/5
Using elimination
8*(3x + 1y = 48/5)
3*(8x + 6y = 148/5)
24x + 8y = 384/5
24x + 18y = 444/5
Subtract equations
-10y = -12
y = -12/-10
y = 6/5
Substitute y
3x + 1(6/5) = 48/5
3x = 42/5
x = 42/5/3
x = 14/5 |
Solve x^2 + 55/28x - 68/7 = 0 | x^2 + 55/28x - 68/7 = 0
(x - 16/7)(x - -17/4) = 0
x - 16/7 = 0 or x - -17/4 = 0
x = 16/7
x = -17/4 |
Find x and y such that
2x + 8y = -49/5
8x + 4y = -56/5 | 2x + 8y = -49/5
8x + 4y = -56/5
Using elimination
8*(2x + 8y = -49/5)
2*(8x + 4y = -56/5)
16x + 64y = -392/5
16x + 8y = -112/5
Subtract equations
56y = -56
y = -56/56
y = -1
Substitute y
2x + 8(-1) = -49/5
2x = -9/5
x = -9/5/2
x = -9/10 |
Find x and y such that
5x + 1y = 80/3
7x + 8y = 244/3 | 5x + 1y = 80/3
7x + 8y = 244/3
Using elimination
7*(5x + 1y = 80/3)
5*(7x + 8y = 244/3)
35x + 7y = 560/3
35x + 40y = 1220/3
Subtract equations
-33y = -220
y = -220/-33
y = 20/3
Substitute y
5x + 1(20/3) = 80/3
5x = 20
x = 20/5
x = 4 |
Solve the system:
2x + 7y = -18
2x + 5y = -27/2 | 2x + 7y = -18
2x + 5y = -27/2
Using elimination
2*(2x + 7y = -18)
2*(2x + 5y = -27/2)
4x + 14y = -36
4x + 10y = -27
Subtract equations
4y = -9
y = -9/4
y = -9/4
Substitute y
2x + 7(-9/4) = -18
2x = -9/4
x = -9/4/2
x = -9/8 |
Solve the equation x^3 - 191/84x^2 - 43/24x + 5/14 = 0 | x^3 - 191/84x^2 - 43/24x + 5/14 = 0
(x - 20/7)(x - -3/4)(x - 1/6) = 0
x - 20/7 = 0
x - -3/4 = 0
x - 1/6 = 0
x = 20/7
x = -3/4
x = 1/6 |
Find x for 10x + 5/4 = 0 | 10x + 5/4 = 0
10x = -5/4
x = -5/4 / 10
x = -1/8 |
Solve the system:
1x + 1y = -239/63
8x + 9y = -228/7 | 1x + 1y = -239/63
8x + 9y = -228/7
Using elimination
8*(1x + 1y = -239/63)
1*(8x + 9y = -228/7)
8x + 8y = -1912/63
8x + 9y = -228/7
Subtract equations
-1y = 20/9
y = 20/9/-1
y = -20/9
Substitute y
1x + 1(-20/9) = -239/63
1x = -11/7
x = -11/7/1
x = -11/7 |
Solve simultaneously:
4x + 6y = 146/3
5x + 3y = 203/6 | 4x + 6y = 146/3
5x + 3y = 203/6
Using elimination
5*(4x + 6y = 146/3)
4*(5x + 3y = 203/6)
20x + 30y = 730/3
20x + 12y = 406/3
Subtract equations
18y = 108
y = 108/18
y = 6
Substitute y
4x + 6(6) = 146/3
4x = 38/3
x = 38/3/4
x = 19/6 |
Solve the equation 5x - 5 = 0 | 5x - 5 = 0
5x = 5
x = 5 / 5
x = 1 |
Solve the equations:
5x + 1y = 88/3
6x + 10y = 88/3 | 5x + 1y = 88/3
6x + 10y = 88/3
Using elimination
6*(5x + 1y = 88/3)
5*(6x + 10y = 88/3)
30x + 6y = 176
30x + 50y = 440/3
Subtract equations
-44y = 88/3
y = 88/3/-44
y = -2/3
Substitute y
5x + 1(-2/3) = 88/3
5x = 30
x = 30/5
x = 6 |
Solve x^3 + 149/45x^2 - 61/12x + 6/5 = 0 | x^3 + 149/45x^2 - 61/12x + 6/5 = 0
(x - 3/10)(x - -9/2)(x - 8/9) = 0
x - 3/10 = 0
x - -9/2 = 0
x - 8/9 = 0
x = 3/10
x = -9/2
x = 8/9 |
Solve the equations:
5x + 3y = -3/2
2x + 8y = -29/3 | 5x + 3y = -3/2
2x + 8y = -29/3
Using elimination
2*(5x + 3y = -3/2)
5*(2x + 8y = -29/3)
10x + 6y = -3
10x + 40y = -145/3
Subtract equations
-34y = 136/3
y = 136/3/-34
y = -4/3
Substitute y
5x + 3(-4/3) = -3/2
5x = 5/2
x = 5/2/5
x = 1/2 |
Solve quickly: 3x + 9 = 0 | 3x + 9 = 0
3x = -9
x = -9 / 3
x = -3 |
Find x in 1x - 9/5 = 0 | 1x - 9/5 = 0
1x = 9/5
x = 9/5 / 1
x = 9/5 |
Solve quickly: x^2 + 49/18x + 49/27 = 0 | x^2 + 49/18x + 49/27 = 0
(x - -14/9)(x - -7/6) = 0
x - -14/9 = 0 or x - -7/6 = 0
x = -14/9
x = -7/6 |
Solve the equation 8x + 13 = 0 | 8x + 13 = 0
8x = -13
x = -13 / 8
x = -13/8 |
Find x in x^2 + 37/6x - 13/6 = 0 | x^2 + 37/6x - 13/6 = 0
(x - 1/3)(x - -13/2) = 0
x - 1/3 = 0 or x - -13/2 = 0
x = 1/3
x = -13/2 |
Compute the solution of x^3 + 17/3x^2 + 28/3x + 4 = 0 | x^3 + 17/3x^2 + 28/3x + 4 = 0
(x - -3)(x - -2/3)(x - -2) = 0
x - -3 = 0
x - -2/3 = 0
x - -2 = 0
x = -3
x = -2/3
x = -2 |
Solve the equations:
8x + 7y = 114/5
7x + 6y = 199/10 | 8x + 7y = 114/5
7x + 6y = 199/10
Using elimination
7*(8x + 7y = 114/5)
8*(7x + 6y = 199/10)
56x + 49y = 798/5
56x + 48y = 796/5
Subtract equations
1y = 2/5
y = 2/5/1
y = 2/5
Substitute y
8x + 7(2/5) = 114/5
8x = 20
x = 20/8
x = 5/2 |
Find x for x^3 + 21/4x^2 - 103/4x - 30 = 0 | x^3 + 21/4x^2 - 103/4x - 30 = 0
(x - -8)(x - 15/4)(x - -1) = 0
x - -8 = 0
x - 15/4 = 0
x - -1 = 0
x = -8
x = 15/4
x = -1 |
Solve the equation 2x + 4 = 0 | 2x + 4 = 0
2x = -4
x = -4 / 2
x = -2 |
Find x for x^2 + 2/3x - 5/3 = 0 | x^2 + 2/3x - 5/3 = 0
(x - 1)(x - -5/3) = 0
x - 1 = 0 or x - -5/3 = 0
x = 1
x = -5/3 |
Find the solution to 3x - 24/5 = 0 | 3x - 24/5 = 0
3x = 24/5
x = 24/5 / 3
x = 8/5 |
Find x in x^3 + 9/5x^2 - 3/100x - 17/50 = 0 | x^3 + 9/5x^2 - 3/100x - 17/50 = 0
(x - -1/2)(x - -17/10)(x - 2/5) = 0
x - -1/2 = 0
x - -17/10 = 0
x - 2/5 = 0
x = -1/2
x = -17/10
x = 2/5 |
Find x for 6x - 30 = 0 | 6x - 30 = 0
6x = 30
x = 30 / 6
x = 5 |
Determine x in x^2 + 5/6x - 1/6 = 0 | x^2 + 5/6x - 1/6 = 0
(x - 1/6)(x - -1) = 0
x - 1/6 = 0 or x - -1 = 0
x = 1/6
x = -1 |
Solve the equations:
5x + 8y = -455/72
10x + 6y = -85/12 | 5x + 8y = -455/72
10x + 6y = -85/12
Using elimination
10*(5x + 8y = -455/72)
5*(10x + 6y = -85/12)
50x + 80y = -2275/36
50x + 30y = -425/12
Subtract equations
50y = -250/9
y = -250/9/50
y = -5/9
Substitute y
5x + 8(-5/9) = -455/72
5x = -15/8
x = -15/8/5
x = -3/8 |
Solve the equations:
7x + 6y = 39/4
9x + 1y = 419/12 | 7x + 6y = 39/4
9x + 1y = 419/12
Using elimination
9*(7x + 6y = 39/4)
7*(9x + 1y = 419/12)
63x + 54y = 351/4
63x + 7y = 2933/12
Subtract equations
47y = -470/3
y = -470/3/47
y = -10/3
Substitute y
7x + 6(-10/3) = 39/4
7x = 119/4
x = 119/4/7
x = 17/4 |
Solve x^2 - 27/20x - 7/10 = 0 | x^2 - 27/20x - 7/10 = 0
(x - -2/5)(x - 7/4) = 0
x - -2/5 = 0 or x - 7/4 = 0
x = -2/5
x = 7/4 |
What value of x satisfies 10x - 4 = 0 | 10x - 4 = 0
10x = 4
x = 4 / 10
x = 2/5 |
Find the solution to x^2 + 11/21x - 2/21 = 0 | x^2 + 11/21x - 2/21 = 0
(x - 1/7)(x - -2/3) = 0
x - 1/7 = 0 or x - -2/3 = 0
x = 1/7
x = -2/3 |
Solve the equation x^2 + 25/4x + 63/8 = 0 | x^2 + 25/4x + 63/8 = 0
(x - -7/4)(x - -9/2) = 0
x - -7/4 = 0 or x - -9/2 = 0
x = -7/4
x = -9/2 |
Find the solution to x^3 + 97/45x^2 + 206/135x + 16/45 = 0 | x^3 + 97/45x^2 + 206/135x + 16/45 = 0
(x - -3/5)(x - -2/3)(x - -8/9) = 0
x - -3/5 = 0
x - -2/3 = 0
x - -8/9 = 0
x = -3/5
x = -2/3
x = -8/9 |
Compute the solution of x^2 - 5x - 6 = 0 | x^2 - 5x - 6 = 0
(x - 6)(x - -1) = 0
x - 6 = 0 or x - -1 = 0
x = 6
x = -1 |
Find the solution to x^2 - 23/8x + 15/8 = 0 | x^2 - 23/8x + 15/8 = 0
(x - 1)(x - 15/8) = 0
x - 1 = 0 or x - 15/8 = 0
x = 1
x = 15/8 |
Solve the equations:
7x + 2y = -121/5
5x + 5y = -18 | 7x + 2y = -121/5
5x + 5y = -18
Using elimination
5*(7x + 2y = -121/5)
7*(5x + 5y = -18)
35x + 10y = -121
35x + 35y = -126
Subtract equations
-25y = 5
y = 5/-25
y = -1/5
Substitute y
7x + 2(-1/5) = -121/5
7x = -119/5
x = -119/5/7
x = -17/5 |
Determine x in x^2 - 14/5x + 8/5 = 0 | x^2 - 14/5x + 8/5 = 0
(x - 4/5)(x - 2) = 0
x - 4/5 = 0 or x - 2 = 0
x = 4/5
x = 2 |
Find x for 10x - 20 = 0 | 10x - 20 = 0
10x = 20
x = 20 / 10
x = 2 |
Find x and y such that
8x + 3y = 41/6
4x + 7y = 27/2 | 8x + 3y = 41/6
4x + 7y = 27/2
Using elimination
4*(8x + 3y = 41/6)
8*(4x + 7y = 27/2)
32x + 12y = 82/3
32x + 56y = 108
Subtract equations
-44y = -242/3
y = -242/3/-44
y = 11/6
Substitute y
8x + 3(11/6) = 41/6
8x = 4/3
x = 4/3/8
x = 1/6 |
What value of x satisfies x^2 + 7/3x - 10/3 = 0 | x^2 + 7/3x - 10/3 = 0
(x - 1)(x - -10/3) = 0
x - 1 = 0 or x - -10/3 = 0
x = 1
x = -10/3 |
Find x for x^2 - 21/8x - 49/16 = 0 | x^2 - 21/8x - 49/16 = 0
(x - 7/2)(x - -7/8) = 0
x - 7/2 = 0 or x - -7/8 = 0
x = 7/2
x = -7/8 |
Find x and y such that
8x + 1y = -99/5
5x + 1y = -63/5 | 8x + 1y = -99/5
5x + 1y = -63/5
Using elimination
5*(8x + 1y = -99/5)
8*(5x + 1y = -63/5)
40x + 5y = -99
40x + 8y = -504/5
Subtract equations
-3y = 9/5
y = 9/5/-3
y = -3/5
Substitute y
8x + 1(-3/5) = -99/5
8x = -96/5
x = -96/5/8
x = -12/5 |
Solve the equation 1x + 3/5 = 0 | 1x + 3/5 = 0
1x = -3/5
x = -3/5 / 1
x = -3/5 |
Solve quickly: x^2 - 82/15x + 112/15 = 0 | x^2 - 82/15x + 112/15 = 0
(x - 8/3)(x - 14/5) = 0
x - 8/3 = 0 or x - 14/5 = 0
x = 8/3
x = 14/5 |
What value of x satisfies x^3 + 493/140x^2 + 467/140x + 33/35 = 0 | x^3 + 493/140x^2 + 467/140x + 33/35 = 0
(x - -4/7)(x - -11/5)(x - -3/4) = 0
x - -4/7 = 0
x - -11/5 = 0
x - -3/4 = 0
x = -4/7
x = -11/5
x = -3/4 |
Solve x^3 + 212/15x^2 + 9/5x - 14/15 = 0 | x^3 + 212/15x^2 + 9/5x - 14/15 = 0
(x - -1/3)(x - -14)(x - 1/5) = 0
x - -1/3 = 0
x - -14 = 0
x - 1/5 = 0
x = -1/3
x = -14
x = 1/5 |
Solve the equation 7x - 77 = 0 | 7x - 77 = 0
7x = 77
x = 77 / 7
x = 11 |
Determine x in 6x - 36/5 = 0 | 6x - 36/5 = 0
6x = 36/5
x = 36/5 / 6
x = 6/5 |
Solve the equations:
4x + 9y = 8
7x + 4y = -19/2 | 4x + 9y = 8
7x + 4y = -19/2
Using elimination
7*(4x + 9y = 8)
4*(7x + 4y = -19/2)
28x + 63y = 56
28x + 16y = -38
Subtract equations
47y = 94
y = 94/47
y = 2
Substitute y
4x + 9(2) = 8
4x = -10
x = -10/4
x = -5/2 |
Find x and y such that
7x + 9y = -115/8
10x + 9y = -1069/56 | 7x + 9y = -115/8
10x + 9y = -1069/56
Using elimination
10*(7x + 9y = -115/8)
7*(10x + 9y = -1069/56)
70x + 90y = -575/4
70x + 63y = -1069/8
Subtract equations
27y = -81/8
y = -81/8/27
y = -3/8
Substitute y
7x + 9(-3/8) = -115/8
7x = -11
x = -11/7
x = -11/7 |
Compute the solution of x^2 - 5/6x - 13/2 = 0 | x^2 - 5/6x - 13/2 = 0
(x - 3)(x - -13/6) = 0
x - 3 = 0 or x - -13/6 = 0
x = 3
x = -13/6 |
Solve the equation 8x + 28/3 = 0 | 8x + 28/3 = 0
8x = -28/3
x = -28/3 / 8
x = -7/6 |
Determine x in x^3 - 53/12x^2 - 14/3x + 49/3 = 0 | x^3 - 53/12x^2 - 14/3x + 49/3 = 0
(x - 14/3)(x - -2)(x - 7/4) = 0
x - 14/3 = 0
x - -2 = 0
x - 7/4 = 0
x = 14/3
x = -2
x = 7/4 |
Solve x^2 - 44/3x - 60 = 0 | x^2 - 44/3x - 60 = 0
(x - 18)(x - -10/3) = 0
x - 18 = 0 or x - -10/3 = 0
x = 18
x = -10/3 |
Determine x in 9x - 27 = 0 | 9x - 27 = 0
9x = 27
x = 27 / 9
x = 3 |
Solve quickly: x^3 - 17/6x^2 - 11/6x + 7 = 0 | x^3 - 17/6x^2 - 11/6x + 7 = 0
(x - -3/2)(x - 2)(x - 7/3) = 0
x - -3/2 = 0
x - 2 = 0
x - 7/3 = 0
x = -3/2
x = 2
x = 7/3 |
Solve quickly: x^2 + 25/2x - 75/2 = 0 | x^2 + 25/2x - 75/2 = 0
(x - 5/2)(x - -15) = 0
x - 5/2 = 0 or x - -15 = 0
x = 5/2
x = -15 |
Solve the equation x^2 + 13/5x - 63/20 = 0 | x^2 + 13/5x - 63/20 = 0
(x - 9/10)(x - -7/2) = 0
x - 9/10 = 0 or x - -7/2 = 0
x = 9/10
x = -7/2 |
Compute the solution of x^3 - 10/7x^2 - 11/49x = 0 | x^3 - 10/7x^2 - 11/49x = 0
(x - 0)(x - 11/7)(x - -1/7) = 0
x - 0 = 0
x - 11/7 = 0
x - -1/7 = 0
x = 0
x = 11/7
x = -1/7 |
Solve the system:
1x + 9y = 225/4
8x + 7y = 60 | 1x + 9y = 225/4
8x + 7y = 60
Using elimination
8*(1x + 9y = 225/4)
1*(8x + 7y = 60)
8x + 72y = 450
8x + 7y = 60
Subtract equations
65y = 390
y = 390/65
y = 6
Substitute y
1x + 9(6) = 225/4
1x = 9/4
x = 9/4/1
x = 9/4 |
Solve the system:
3x + 6y = 36/5
3x + 7y = 41/5 | 3x + 6y = 36/5
3x + 7y = 41/5
Using elimination
3*(3x + 6y = 36/5)
3*(3x + 7y = 41/5)
9x + 18y = 108/5
9x + 21y = 123/5
Subtract equations
-3y = -3
y = -3/-3
y = 1
Substitute y
3x + 6(1) = 36/5
3x = 6/5
x = 6/5/3
x = 2/5 |
Find x and y such that
3x + 7y = -15/2
10x + 1y = 185/6 | 3x + 7y = -15/2
10x + 1y = 185/6
Using elimination
10*(3x + 7y = -15/2)
3*(10x + 1y = 185/6)
30x + 70y = -75
30x + 3y = 185/2
Subtract equations
67y = -335/2
y = -335/2/67
y = -5/2
Substitute y
3x + 7(-5/2) = -15/2
3x = 10
x = 10/3
x = 10/3 |
Solve the equations:
1x + 8y = -97/10
4x + 5y = -37/10 | 1x + 8y = -97/10
4x + 5y = -37/10
Using elimination
4*(1x + 8y = -97/10)
1*(4x + 5y = -37/10)
4x + 32y = -194/5
4x + 5y = -37/10
Subtract equations
27y = -351/10
y = -351/10/27
y = -13/10
Substitute y
1x + 8(-13/10) = -97/10
1x = 7/10
x = 7/10/1
x = 7/10 |
What value of x satisfies 2x - 36/5 = 0 | 2x - 36/5 = 0
2x = 36/5
x = 36/5 / 2
x = 18/5 |
Solve the system:
10x + 4y = 120
2x + 10y = 24 | 10x + 4y = 120
2x + 10y = 24
Using elimination
2*(10x + 4y = 120)
10*(2x + 10y = 24)
20x + 8y = 240
20x + 100y = 240
Subtract equations
-92y = 0
y = 0/-92
y = 0
Substitute y
10x + 4(0) = 120
10x = 120
x = 120/10
x = 12 |
Solve simultaneously:
5x + 4y = 137/5
5x + 6y = 143/5 | 5x + 4y = 137/5
5x + 6y = 143/5
Using elimination
5*(5x + 4y = 137/5)
5*(5x + 6y = 143/5)
25x + 20y = 137
25x + 30y = 143
Subtract equations
-10y = -6
y = -6/-10
y = 3/5
Substitute y
5x + 4(3/5) = 137/5
5x = 25
x = 25/5
x = 5 |
Find x and y such that
1x + 5y = -87/40
8x + 7y = -201/40 | 1x + 5y = -87/40
8x + 7y = -201/40
Using elimination
8*(1x + 5y = -87/40)
1*(8x + 7y = -201/40)
8x + 40y = -87/5
8x + 7y = -201/40
Subtract equations
33y = -99/8
y = -99/8/33
y = -3/8
Substitute y
1x + 5(-3/8) = -87/40
1x = -3/10
x = -3/10/1
x = -3/10 |
Find x for 6x + 102/5 = 0 | 6x + 102/5 = 0
6x = -102/5
x = -102/5 / 6
x = -17/5 |
Solve x^2 - 32/7x + 256/49 = 0 | x^2 - 32/7x + 256/49 = 0
(x - 16/7)(x - 16/7) = 0
x - 16/7 = 0 or x - 16/7 = 0
x = 16/7
x = 16/7 |
Solve simultaneously:
3x + 8y = 25/7
8x + 7y = -13 | 3x + 8y = 25/7
8x + 7y = -13
Using elimination
8*(3x + 8y = 25/7)
3*(8x + 7y = -13)
24x + 64y = 200/7
24x + 21y = -39
Subtract equations
43y = 473/7
y = 473/7/43
y = 11/7
Substitute y
3x + 8(11/7) = 25/7
3x = -9
x = -9/3
x = -3 |
Solve simultaneously:
6x + 1y = -146/5
5x + 4y = -517/15 | 6x + 1y = -146/5
5x + 4y = -517/15
Using elimination
5*(6x + 1y = -146/5)
6*(5x + 4y = -517/15)
30x + 5y = -146
30x + 24y = -1034/5
Subtract equations
-19y = 304/5
y = 304/5/-19
y = -16/5
Substitute y
6x + 1(-16/5) = -146/5
6x = -26
x = -26/6
x = -13/3 |
Find the solution to x^3 - 9x^2 - 57x + 65 = 0 | x^3 - 9x^2 - 57x + 65 = 0
(x - -5)(x - 13)(x - 1) = 0
x - -5 = 0
x - 13 = 0
x - 1 = 0
x = -5
x = 13
x = 1 |
Solve quickly: x^2 - 2/3x - 5/3 = 0 | x^2 - 2/3x - 5/3 = 0
(x - -1)(x - 5/3) = 0
x - -1 = 0 or x - 5/3 = 0
x = -1
x = 5/3 |
Find x and y such that
9x + 8y = -111
2x + 3y = -43 | 9x + 8y = -111
2x + 3y = -43
Using elimination
2*(9x + 8y = -111)
9*(2x + 3y = -43)
18x + 16y = -222
18x + 27y = -387
Subtract equations
-11y = 165
y = 165/-11
y = -15
Substitute y
9x + 8(-15) = -111
9x = 9
x = 9/9
x = 1 |
Compute the solution of 1x - 7/2 = 0 | 1x - 7/2 = 0
1x = 7/2
x = 7/2 / 1
x = 7/2 |
Find x for x^2 + 41/24x + 1/2 = 0 | x^2 + 41/24x + 1/2 = 0
(x - -3/8)(x - -4/3) = 0
x - -3/8 = 0 or x - -4/3 = 0
x = -3/8
x = -4/3 |
Compute the solution of x^2 - 73/4x + 195/4 = 0 | x^2 - 73/4x + 195/4 = 0
(x - 13/4)(x - 15) = 0
x - 13/4 = 0 or x - 15 = 0
x = 13/4
x = 15 |
Solve x^2 + 83/9x + 88/9 = 0 | x^2 + 83/9x + 88/9 = 0
(x - -8)(x - -11/9) = 0
x - -8 = 0 or x - -11/9 = 0
x = -8
x = -11/9 |
What value of x satisfies x^3 + 128/7x^2 + 452/7x + 64 = 0 | x^3 + 128/7x^2 + 452/7x + 64 = 0
(x - -2)(x - -14)(x - -16/7) = 0
x - -2 = 0
x - -14 = 0
x - -16/7 = 0
x = -2
x = -14
x = -16/7 |
Find x and y such that
3x + 9y = -117/5
3x + 1y = -133/5 | 3x + 9y = -117/5
3x + 1y = -133/5
Using elimination
3*(3x + 9y = -117/5)
3*(3x + 1y = -133/5)
9x + 27y = -351/5
9x + 3y = -399/5
Subtract equations
24y = 48/5
y = 48/5/24
y = 2/5
Substitute y
3x + 9(2/5) = -117/5
3x = -27
x = -27/3
x = -9 |
What value of x satisfies 10x - 20 = 0 | 10x - 20 = 0
10x = 20
x = 20 / 10
x = 2 |
Compute the solution of x^2 + 7/5x - 34/5 = 0 | x^2 + 7/5x - 34/5 = 0
(x - -17/5)(x - 2) = 0
x - -17/5 = 0 or x - 2 = 0
x = -17/5
x = 2 |
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