input stringlengths 13 66 | output stringlengths 30 276 |
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Solve the equation 7x + 63/5 = 0 | 7x + 63/5 = 0
7x = -63/5
x = -63/5 / 7
x = -9/5 |
Find x and y such that
6x + 8y = 160
4x + 6y = 113 | 6x + 8y = 160
4x + 6y = 113
Using elimination
4*(6x + 8y = 160)
6*(4x + 6y = 113)
24x + 32y = 640
24x + 36y = 678
Subtract equations
-4y = -38
y = -38/-4
y = 19/2
Substitute y
6x + 8(19/2) = 160
6x = 84
x = 84/6
x = 14 |
Solve the system:
1x + 2y = 8
3x + 1y = 23/2 | 1x + 2y = 8
3x + 1y = 23/2
Using elimination
3*(1x + 2y = 8)
1*(3x + 1y = 23/2)
3x + 6y = 24
3x + 1y = 23/2
Subtract equations
5y = 25/2
y = 25/2/5
y = 5/2
Substitute y
1x + 2(5/2) = 8
1x = 3
x = 3/1
x = 3 |
Determine x in x^3 - 183/70x^2 - 422/245x + 144/49 = 0 | x^3 - 183/70x^2 - 422/245x + 144/49 = 0
(x - -8/7)(x - 20/7)(x - 9/10) = 0
x - -8/7 = 0
x - 20/7 = 0
x - 9/10 = 0
x = -8/7
x = 20/7
x = 9/10 |
Find x in x^2 + 43/9x + 52/27 = 0 | x^2 + 43/9x + 52/27 = 0
(x - -4/9)(x - -13/3) = 0
x - -4/9 = 0 or x - -13/3 = 0
x = -4/9
x = -13/3 |
Find x for x^2 + 23/21x - 10/21 = 0 | x^2 + 23/21x - 10/21 = 0
(x - 1/3)(x - -10/7) = 0
x - 1/3 = 0 or x - -10/7 = 0
x = 1/3
x = -10/7 |
Solve the equation x^2 - 10x + 200/9 = 0 | x^2 - 10x + 200/9 = 0
(x - 20/3)(x - 10/3) = 0
x - 20/3 = 0 or x - 10/3 = 0
x = 20/3
x = 10/3 |
Solve quickly: x^3 + 493/126x^2 - 25/42x - 650/63 = 0 | x^3 + 493/126x^2 - 25/42x - 650/63 = 0
(x - -5/2)(x - 13/9)(x - -20/7) = 0
x - -5/2 = 0
x - 13/9 = 0
x - -20/7 = 0
x = -5/2
x = 13/9
x = -20/7 |
Solve quickly: x^2 + 5/3x - 19/4 = 0 | x^2 + 5/3x - 19/4 = 0
(x - -19/6)(x - 3/2) = 0
x - -19/6 = 0 or x - 3/2 = 0
x = -19/6
x = 3/2 |
Compute the solution of x^3 + 23/2x^2 - 2x - 165/2 = 0 | x^3 + 23/2x^2 - 2x - 165/2 = 0
(x - 5/2)(x - -3)(x - -11) = 0
x - 5/2 = 0
x - -3 = 0
x - -11 = 0
x = 5/2
x = -3
x = -11 |
Find the solution to 6x + 16 = 0 | 6x + 16 = 0
6x = -16
x = -16 / 6
x = -8/3 |
Solve the equation 8x - 12/5 = 0 | 8x - 12/5 = 0
8x = 12/5
x = 12/5 / 8
x = 3/10 |
Determine x in x^3 - 197/210x^2 - 79/70x + 22/105 = 0 | x^3 - 197/210x^2 - 79/70x + 22/105 = 0
(x - -4/5)(x - 1/6)(x - 11/7) = 0
x - -4/5 = 0
x - 1/6 = 0
x - 11/7 = 0
x = -4/5
x = 1/6
x = 11/7 |
Find x for 2x - 38/9 = 0 | 2x - 38/9 = 0
2x = 38/9
x = 38/9 / 2
x = 19/9 |
Solve the system:
2x + 1y = -1/2
8x + 8y = -14 | 2x + 1y = -1/2
8x + 8y = -14
Using elimination
8*(2x + 1y = -1/2)
2*(8x + 8y = -14)
16x + 8y = -4
16x + 16y = -28
Subtract equations
-8y = 24
y = 24/-8
y = -3
Substitute y
2x + 1(-3) = -1/2
2x = 5/2
x = 5/2/2
x = 5/4 |
Compute the solution of 7x + 42 = 0 | 7x + 42 = 0
7x = -42
x = -42 / 7
x = -6 |
Find x for x^3 + 179/28x^2 + 93/8x + 45/7 = 0 | x^3 + 179/28x^2 + 93/8x + 45/7 = 0
(x - -3/2)(x - -15/4)(x - -8/7) = 0
x - -3/2 = 0
x - -15/4 = 0
x - -8/7 = 0
x = -3/2
x = -15/4
x = -8/7 |
Find the solution to x^3 + 1x^2 - 253/4x - 595/4 = 0 | x^3 + 1x^2 - 253/4x - 595/4 = 0
(x - -5/2)(x - 17/2)(x - -7) = 0
x - -5/2 = 0
x - 17/2 = 0
x - -7 = 0
x = -5/2
x = 17/2
x = -7 |
Solve simultaneously:
5x + 6y = 4
10x + 4y = 28/3 | 5x + 6y = 4
10x + 4y = 28/3
Using elimination
10*(5x + 6y = 4)
5*(10x + 4y = 28/3)
50x + 60y = 40
50x + 20y = 140/3
Subtract equations
40y = -20/3
y = -20/3/40
y = -1/6
Substitute y
5x + 6(-1/6) = 4
5x = 5
x = 5/5
x = 1 |
Compute the solution of x^3 + 541/35x^2 - 328/35x - 384/35 = 0 | x^3 + 541/35x^2 - 328/35x - 384/35 = 0
(x - -16)(x - 8/7)(x - -3/5) = 0
x - -16 = 0
x - 8/7 = 0
x - -3/5 = 0
x = -16
x = 8/7
x = -3/5 |
Solve 8x + 24 = 0 | 8x + 24 = 0
8x = -24
x = -24 / 8
x = -3 |
Solve simultaneously:
5x + 3y = -32
4x + 4y = -208/5 | 5x + 3y = -32
4x + 4y = -208/5
Using elimination
4*(5x + 3y = -32)
5*(4x + 4y = -208/5)
20x + 12y = -128
20x + 20y = -208
Subtract equations
-8y = 80
y = 80/-8
y = -10
Substitute y
5x + 3(-10) = -32
5x = -2
x = -2/5
x = -2/5 |
Find x in 7x - 112/3 = 0 | 7x - 112/3 = 0
7x = 112/3
x = 112/3 / 7
x = 16/3 |
Determine x in x^3 + 367/56x^2 + 27/8x + 9/28 = 0 | x^3 + 367/56x^2 + 27/8x + 9/28 = 0
(x - -6)(x - -1/8)(x - -3/7) = 0
x - -6 = 0
x - -1/8 = 0
x - -3/7 = 0
x = -6
x = -1/8
x = -3/7 |
What value of x satisfies x^2 - 5/2x = 0 | x^2 - 5/2x = 0
(x - 5/2)(x - 0) = 0
x - 5/2 = 0 or x - 0 = 0
x = 5/2
x = 0 |
Compute the solution of x^2 + 67/70x + 3/35 = 0 | x^2 + 67/70x + 3/35 = 0
(x - -6/7)(x - -1/10) = 0
x - -6/7 = 0 or x - -1/10 = 0
x = -6/7
x = -1/10 |
Find x for x^3 + 1/5x^2 - 33/20x + 9/20 = 0 | x^3 + 1/5x^2 - 33/20x + 9/20 = 0
(x - 3/10)(x - 1)(x - -3/2) = 0
x - 3/10 = 0
x - 1 = 0
x - -3/2 = 0
x = 3/10
x = 1
x = -3/2 |
Solve simultaneously:
10x + 8y = 22
5x + 1y = -1 | 10x + 8y = 22
5x + 1y = -1
Using elimination
5*(10x + 8y = 22)
10*(5x + 1y = -1)
50x + 40y = 110
50x + 10y = -10
Subtract equations
30y = 120
y = 120/30
y = 4
Substitute y
10x + 8(4) = 22
10x = -10
x = -10/10
x = -1 |
Solve the system:
1x + 3y = -9/5
4x + 3y = -21/5 | 1x + 3y = -9/5
4x + 3y = -21/5
Using elimination
4*(1x + 3y = -9/5)
1*(4x + 3y = -21/5)
4x + 12y = -36/5
4x + 3y = -21/5
Subtract equations
9y = -3
y = -3/9
y = -1/3
Substitute y
1x + 3(-1/3) = -9/5
1x = -4/5
x = -4/5/1
x = -4/5 |
Find x in 5x + 65 = 0 | 5x + 65 = 0
5x = -65
x = -65 / 5
x = -13 |
Find the solution to 7x - 35/2 = 0 | 7x - 35/2 = 0
7x = 35/2
x = 35/2 / 7
x = 5/2 |
Determine x in 7x + 35/3 = 0 | 7x + 35/3 = 0
7x = -35/3
x = -35/3 / 7
x = -5/3 |
Solve the equation x^2 - 13/5x + 6/5 = 0 | x^2 - 13/5x + 6/5 = 0
(x - 2)(x - 3/5) = 0
x - 2 = 0 or x - 3/5 = 0
x = 2
x = 3/5 |
Determine x in x^2 + 191/9x + 380/9 = 0 | x^2 + 191/9x + 380/9 = 0
(x - -20/9)(x - -19) = 0
x - -20/9 = 0 or x - -19 = 0
x = -20/9
x = -19 |
Find the solution to x^3 + 988/45x^2 + 2459/45x - 1292/45 = 0 | x^3 + 988/45x^2 + 2459/45x - 1292/45 = 0
(x - 4/9)(x - -17/5)(x - -19) = 0
x - 4/9 = 0
x - -17/5 = 0
x - -19 = 0
x = 4/9
x = -17/5
x = -19 |
What value of x satisfies x^3 - 149/120x^2 - 467/240x + 119/60 = 0 | x^3 - 149/120x^2 - 467/240x + 119/60 = 0
(x - 17/10)(x - 7/8)(x - -4/3) = 0
x - 17/10 = 0
x - 7/8 = 0
x - -4/3 = 0
x = 17/10
x = 7/8
x = -4/3 |
Solve x^2 - 5/6x - 2/3 = 0 | x^2 - 5/6x - 2/3 = 0
(x - 4/3)(x - -1/2) = 0
x - 4/3 = 0 or x - -1/2 = 0
x = 4/3
x = -1/2 |
Find the solution to x^3 - 7x - 6 = 0 | x^3 - 7x - 6 = 0
(x - -1)(x - 3)(x - -2) = 0
x - -1 = 0
x - 3 = 0
x - -2 = 0
x = -1
x = 3
x = -2 |
Find x and y such that
4x + 5y = 1/3
6x + 9y = 0 | 4x + 5y = 1/3
6x + 9y = 0
Using elimination
6*(4x + 5y = 1/3)
4*(6x + 9y = 0)
24x + 30y = 2
24x + 36y = 0
Subtract equations
-6y = 2
y = 2/-6
y = -1/3
Substitute y
4x + 5(-1/3) = 1/3
4x = 2
x = 2/4
x = 1/2 |
Determine x in x^2 + 74/45x + 13/45 = 0 | x^2 + 74/45x + 13/45 = 0
(x - -13/9)(x - -1/5) = 0
x - -13/9 = 0 or x - -1/5 = 0
x = -13/9
x = -1/5 |
Find x in x^3 - 9/2x^2 - 3x + 20 = 0 | x^3 - 9/2x^2 - 3x + 20 = 0
(x - -2)(x - 5/2)(x - 4) = 0
x - -2 = 0
x - 5/2 = 0
x - 4 = 0
x = -2
x = 5/2
x = 4 |
Find x for x^3 + 5/2x^2 - 261/2x - 198 = 0 | x^3 + 5/2x^2 - 261/2x - 198 = 0
(x - -12)(x - 11)(x - -3/2) = 0
x - -12 = 0
x - 11 = 0
x - -3/2 = 0
x = -12
x = 11
x = -3/2 |
Solve quickly: x^2 + 25/3x + 52/3 = 0 | x^2 + 25/3x + 52/3 = 0
(x - -4)(x - -13/3) = 0
x - -4 = 0 or x - -13/3 = 0
x = -4
x = -13/3 |
Find x for 4x - 24/7 = 0 | 4x - 24/7 = 0
4x = 24/7
x = 24/7 / 4
x = 6/7 |
What value of x satisfies 3x + 9/2 = 0 | 3x + 9/2 = 0
3x = -9/2
x = -9/2 / 3
x = -3/2 |
Solve the system:
6x + 9y = 21/20
4x + 5y = 1 | 6x + 9y = 21/20
4x + 5y = 1
Using elimination
4*(6x + 9y = 21/20)
6*(4x + 5y = 1)
24x + 36y = 21/5
24x + 30y = 6
Subtract equations
6y = -9/5
y = -9/5/6
y = -3/10
Substitute y
6x + 9(-3/10) = 21/20
6x = 15/4
x = 15/4/6
x = 5/8 |
Solve the system:
6x + 2y = -349/14
7x + 9y = -1321/28 | 6x + 2y = -349/14
7x + 9y = -1321/28
Using elimination
7*(6x + 2y = -349/14)
6*(7x + 9y = -1321/28)
42x + 14y = -349/2
42x + 54y = -3963/14
Subtract equations
-40y = 760/7
y = 760/7/-40
y = -19/7
Substitute y
6x + 2(-19/7) = -349/14
6x = -39/2
x = -39/2/6
x = -13/4 |
Find x for x^2 + 15/2x = 0 | x^2 + 15/2x = 0
(x - 0)(x - -15/2) = 0
x - 0 = 0 or x - -15/2 = 0
x = 0
x = -15/2 |
Solve x^2 + 104/63x - 17/9 = 0 | x^2 + 104/63x - 17/9 = 0
(x - 7/9)(x - -17/7) = 0
x - 7/9 = 0 or x - -17/7 = 0
x = 7/9
x = -17/7 |
Solve simultaneously:
6x + 6y = 204/5
2x + 1y = 38/5 | 6x + 6y = 204/5
2x + 1y = 38/5
Using elimination
2*(6x + 6y = 204/5)
6*(2x + 1y = 38/5)
12x + 12y = 408/5
12x + 6y = 228/5
Subtract equations
6y = 36
y = 36/6
y = 6
Substitute y
6x + 6(6) = 204/5
6x = 24/5
x = 24/5/6
x = 4/5 |
Solve the equation x^2 + 12/35x - 36/35 = 0 | x^2 + 12/35x - 36/35 = 0
(x - -6/5)(x - 6/7) = 0
x - -6/5 = 0 or x - 6/7 = 0
x = -6/5
x = 6/7 |
Find x and y such that
4x + 8y = -16/7
10x + 6y = 9/7 | 4x + 8y = -16/7
10x + 6y = 9/7
Using elimination
10*(4x + 8y = -16/7)
4*(10x + 6y = 9/7)
40x + 80y = -160/7
40x + 24y = 36/7
Subtract equations
56y = -28
y = -28/56
y = -1/2
Substitute y
4x + 8(-1/2) = -16/7
4x = 12/7
x = 12/7/4
x = 3/7 |
Compute the solution of x^3 - 1091/360x^2 + 21/20x + 13/72 = 0 | x^3 - 1091/360x^2 + 21/20x + 13/72 = 0
(x - 13/5)(x - 5/9)(x - -1/8) = 0
x - 13/5 = 0
x - 5/9 = 0
x - -1/8 = 0
x = 13/5
x = 5/9
x = -1/8 |
Solve the system:
5x + 4y = 43
6x + 5y = 52 | 5x + 4y = 43
6x + 5y = 52
Using elimination
6*(5x + 4y = 43)
5*(6x + 5y = 52)
30x + 24y = 258
30x + 25y = 260
Subtract equations
-1y = -2
y = -2/-1
y = 2
Substitute y
5x + 4(2) = 43
5x = 35
x = 35/5
x = 7 |
What value of x satisfies x^3 - 89/63x^2 - 38/21x + 80/63 = 0 | x^3 - 89/63x^2 - 38/21x + 80/63 = 0
(x - -8/7)(x - 5/9)(x - 2) = 0
x - -8/7 = 0
x - 5/9 = 0
x - 2 = 0
x = -8/7
x = 5/9
x = 2 |
Find x in 5x + 10 = 0 | 5x + 10 = 0
5x = -10
x = -10 / 5
x = -2 |
What value of x satisfies x^3 + 187/35x^2 + 28/5x + 32/35 = 0 | x^3 + 187/35x^2 + 28/5x + 32/35 = 0
(x - -8/7)(x - -1/5)(x - -4) = 0
x - -8/7 = 0
x - -1/5 = 0
x - -4 = 0
x = -8/7
x = -1/5
x = -4 |
Determine x in x^3 + 23/2x^2 - 15/2x - 18 = 0 | x^3 + 23/2x^2 - 15/2x - 18 = 0
(x - -1)(x - 3/2)(x - -12) = 0
x - -1 = 0
x - 3/2 = 0
x - -12 = 0
x = -1
x = 3/2
x = -12 |
Find x for x^3 + 6x^2 + 17/4x - 15/4 = 0 | x^3 + 6x^2 + 17/4x - 15/4 = 0
(x - -5)(x - 1/2)(x - -3/2) = 0
x - -5 = 0
x - 1/2 = 0
x - -3/2 = 0
x = -5
x = 1/2
x = -3/2 |
Solve quickly: 4x - 34 = 0 | 4x - 34 = 0
4x = 34
x = 34 / 4
x = 17/2 |
What value of x satisfies x^2 - 68/9x + 209/27 = 0 | x^2 - 68/9x + 209/27 = 0
(x - 11/9)(x - 19/3) = 0
x - 11/9 = 0 or x - 19/3 = 0
x = 11/9
x = 19/3 |
Solve quickly: 4x - 3 = 0 | 4x - 3 = 0
4x = 3
x = 3 / 4
x = 3/4 |
Compute the solution of x^2 + 55/9x + 76/9 = 0 | x^2 + 55/9x + 76/9 = 0
(x - -4)(x - -19/9) = 0
x - -4 = 0 or x - -19/9 = 0
x = -4
x = -19/9 |
Solve the equations:
8x + 2y = 50/7
8x + 4y = 36/7 | 8x + 2y = 50/7
8x + 4y = 36/7
Using elimination
8*(8x + 2y = 50/7)
8*(8x + 4y = 36/7)
64x + 16y = 400/7
64x + 32y = 288/7
Subtract equations
-16y = 16
y = 16/-16
y = -1
Substitute y
8x + 2(-1) = 50/7
8x = 64/7
x = 64/7/8
x = 8/7 |
Solve the equation x^2 - 41/6x + 35/3 = 0 | x^2 - 41/6x + 35/3 = 0
(x - 10/3)(x - 7/2) = 0
x - 10/3 = 0 or x - 7/2 = 0
x = 10/3
x = 7/2 |
Solve quickly: x^3 + 247/12x^2 + 943/12x + 84 = 0 | x^3 + 247/12x^2 + 943/12x + 84 = 0
(x - -9/4)(x - -16)(x - -7/3) = 0
x - -9/4 = 0
x - -16 = 0
x - -7/3 = 0
x = -9/4
x = -16
x = -7/3 |
Solve the equation 5x - 7 = 0 | 5x - 7 = 0
5x = 7
x = 7 / 5
x = 7/5 |
Determine x in x^3 - 87/40x^2 - 111/20x - 19/8 = 0 | x^3 - 87/40x^2 - 111/20x - 19/8 = 0
(x - 19/5)(x - -1)(x - -5/8) = 0
x - 19/5 = 0
x - -1 = 0
x - -5/8 = 0
x = 19/5
x = -1
x = -5/8 |
Solve the equation 6x - 7 = 0 | 6x - 7 = 0
6x = 7
x = 7 / 6
x = 7/6 |
What value of x satisfies x^2 - 23/24x - 85/16 = 0 | x^2 - 23/24x - 85/16 = 0
(x - -15/8)(x - 17/6) = 0
x - -15/8 = 0 or x - 17/6 = 0
x = -15/8
x = 17/6 |
What value of x satisfies x^2 - 8/3x + 7/9 = 0 | x^2 - 8/3x + 7/9 = 0
(x - 7/3)(x - 1/3) = 0
x - 7/3 = 0 or x - 1/3 = 0
x = 7/3
x = 1/3 |
Solve 1x + 7/5 = 0 | 1x + 7/5 = 0
1x = -7/5
x = -7/5 / 1
x = -7/5 |
Find x in x^3 - 194/15x^2 - 53/15x + 104/3 = 0 | x^3 - 194/15x^2 - 53/15x + 104/3 = 0
(x - 8/5)(x - -5/3)(x - 13) = 0
x - 8/5 = 0
x - -5/3 = 0
x - 13 = 0
x = 8/5
x = -5/3
x = 13 |
What value of x satisfies x^2 + 49/8x + 45/8 = 0 | x^2 + 49/8x + 45/8 = 0
(x - -9/8)(x - -5) = 0
x - -9/8 = 0 or x - -5 = 0
x = -9/8
x = -5 |
What value of x satisfies x^2 + 3x + 2 = 0 | x^2 + 3x + 2 = 0
(x - -1)(x - -2) = 0
x - -1 = 0 or x - -2 = 0
x = -1
x = -2 |
Solve the equation x^3 - 1/4x^2 - 19/4x - 35/16 = 0 | x^3 - 1/4x^2 - 19/4x - 35/16 = 0
(x - 5/2)(x - -1/2)(x - -7/4) = 0
x - 5/2 = 0
x - -1/2 = 0
x - -7/4 = 0
x = 5/2
x = -1/2
x = -7/4 |
Find the solution to x^3 + 55/12x^2 + 53/8x + 35/12 = 0 | x^3 + 55/12x^2 + 53/8x + 35/12 = 0
(x - -7/4)(x - -5/6)(x - -2) = 0
x - -7/4 = 0
x - -5/6 = 0
x - -2 = 0
x = -7/4
x = -5/6
x = -2 |
Solve the equation x^3 - 407/84x^2 + 123/28x - 15/14 = 0 | x^3 - 407/84x^2 + 123/28x - 15/14 = 0
(x - 15/4)(x - 2/3)(x - 3/7) = 0
x - 15/4 = 0
x - 2/3 = 0
x - 3/7 = 0
x = 15/4
x = 2/3
x = 3/7 |
Solve the equations:
5x + 5y = 235/6
1x + 7y = 317/6 | 5x + 5y = 235/6
1x + 7y = 317/6
Using elimination
1*(5x + 5y = 235/6)
5*(1x + 7y = 317/6)
5x + 5y = 235/6
5x + 35y = 1585/6
Subtract equations
-30y = -225
y = -225/-30
y = 15/2
Substitute y
5x + 5(15/2) = 235/6
5x = 5/3
x = 5/3/5
x = 1/3 |
Solve the equation 6x + 18/5 = 0 | 6x + 18/5 = 0
6x = -18/5
x = -18/5 / 6
x = -3/5 |
Solve x^2 - 163/63x + 20/21 = 0 | x^2 - 163/63x + 20/21 = 0
(x - 15/7)(x - 4/9) = 0
x - 15/7 = 0 or x - 4/9 = 0
x = 15/7
x = 4/9 |
Solve simultaneously:
4x + 1y = 211/42
10x + 1y = 643/42 | 4x + 1y = 211/42
10x + 1y = 643/42
Using elimination
10*(4x + 1y = 211/42)
4*(10x + 1y = 643/42)
40x + 10y = 1055/21
40x + 4y = 1286/21
Subtract equations
6y = -11
y = -11/6
y = -11/6
Substitute y
4x + 1(-11/6) = 211/42
4x = 48/7
x = 48/7/4
x = 12/7 |
Solve the equations:
2x + 5y = -29/10
6x + 1y = 67/10 | 2x + 5y = -29/10
6x + 1y = 67/10
Using elimination
6*(2x + 5y = -29/10)
2*(6x + 1y = 67/10)
12x + 30y = -87/5
12x + 2y = 67/5
Subtract equations
28y = -154/5
y = -154/5/28
y = -11/10
Substitute y
2x + 5(-11/10) = -29/10
2x = 13/5
x = 13/5/2
x = 13/10 |
Find x for 1x - 9/10 = 0 | 1x - 9/10 = 0
1x = 9/10
x = 9/10 / 1
x = 9/10 |
Compute the solution of 1x + 13/5 = 0 | 1x + 13/5 = 0
1x = -13/5
x = -13/5 / 1
x = -13/5 |
Solve the equations:
9x + 3y = 251/3
5x + 4y = 374/9 | 9x + 3y = 251/3
5x + 4y = 374/9
Using elimination
5*(9x + 3y = 251/3)
9*(5x + 4y = 374/9)
45x + 15y = 1255/3
45x + 36y = 374
Subtract equations
-21y = 133/3
y = 133/3/-21
y = -19/9
Substitute y
9x + 3(-19/9) = 251/3
9x = 90
x = 90/9
x = 10 |
Solve simultaneously:
3x + 9y = -5/2
7x + 6y = 65/6 | 3x + 9y = -5/2
7x + 6y = 65/6
Using elimination
7*(3x + 9y = -5/2)
3*(7x + 6y = 65/6)
21x + 63y = -35/2
21x + 18y = 65/2
Subtract equations
45y = -50
y = -50/45
y = -10/9
Substitute y
3x + 9(-10/9) = -5/2
3x = 15/2
x = 15/2/3
x = 5/2 |
Find the solution to x^3 - 163/12x^2 + 515/12x - 627/16 = 0 | x^3 - 163/12x^2 + 515/12x - 627/16 = 0
(x - 11/6)(x - 19/2)(x - 9/4) = 0
x - 11/6 = 0
x - 19/2 = 0
x - 9/4 = 0
x = 11/6
x = 19/2
x = 9/4 |
Compute the solution of 10x - 50/3 = 0 | 10x - 50/3 = 0
10x = 50/3
x = 50/3 / 10
x = 5/3 |
Find x in x^2 + 111/28x + 95/28 = 0 | x^2 + 111/28x + 95/28 = 0
(x - -5/4)(x - -19/7) = 0
x - -5/4 = 0 or x - -19/7 = 0
x = -5/4
x = -19/7 |
Solve the equations:
1x + 7y = -121/10
7x + 4y = 53/10 | 1x + 7y = -121/10
7x + 4y = 53/10
Using elimination
7*(1x + 7y = -121/10)
1*(7x + 4y = 53/10)
7x + 49y = -847/10
7x + 4y = 53/10
Subtract equations
45y = -90
y = -90/45
y = -2
Substitute y
1x + 7(-2) = -121/10
1x = 19/10
x = 19/10/1
x = 19/10 |
Find x for x^2 + 197/36x + 187/36 = 0 | x^2 + 197/36x + 187/36 = 0
(x - -11/9)(x - -17/4) = 0
x - -11/9 = 0 or x - -17/4 = 0
x = -11/9
x = -17/4 |
Find the solution to 3x - 27/4 = 0 | 3x - 27/4 = 0
3x = 27/4
x = 27/4 / 3
x = 9/4 |
Solve simultaneously:
10x + 5y = 55
10x + 1y = 35 | 10x + 5y = 55
10x + 1y = 35
Using elimination
10*(10x + 5y = 55)
10*(10x + 1y = 35)
100x + 50y = 550
100x + 10y = 350
Subtract equations
40y = 200
y = 200/40
y = 5
Substitute y
10x + 5(5) = 55
10x = 30
x = 30/10
x = 3 |
Determine x in x^2 - 27/4x + 81/8 = 0 | x^2 - 27/4x + 81/8 = 0
(x - 9/4)(x - 9/2) = 0
x - 9/4 = 0 or x - 9/2 = 0
x = 9/4
x = 9/2 |
Solve quickly: x^3 + 23/10x^2 - 202/5x - 546/5 = 0 | x^3 + 23/10x^2 - 202/5x - 546/5 = 0
(x - -6)(x - 13/2)(x - -14/5) = 0
x - -6 = 0
x - 13/2 = 0
x - -14/5 = 0
x = -6
x = 13/2
x = -14/5 |
Solve x^2 - 181/30x - 19/10 = 0 | x^2 - 181/30x - 19/10 = 0
(x - -3/10)(x - 19/3) = 0
x - -3/10 = 0 or x - 19/3 = 0
x = -3/10
x = 19/3 |
Find x in x^2 - 38/5x + 48/5 = 0 | x^2 - 38/5x + 48/5 = 0
(x - 6)(x - 8/5) = 0
x - 6 = 0 or x - 8/5 = 0
x = 6
x = 8/5 |
Find x for x^3 + 503/180x^2 - 13/10x - 169/36 = 0 | x^3 + 503/180x^2 - 13/10x - 169/36 = 0
(x - -13/5)(x - 5/4)(x - -13/9) = 0
x - -13/5 = 0
x - 5/4 = 0
x - -13/9 = 0
x = -13/5
x = 5/4
x = -13/9 |
Find the solution to 5x - 12 = 0 | 5x - 12 = 0
5x = 12
x = 12 / 5
x = 12/5 |
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