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Compute the solution of x^2 + 101/18x - 52/9 = 0 | x^2 + 101/18x - 52/9 = 0
(x - -13/2)(x - 8/9) = 0
x - -13/2 = 0 or x - 8/9 = 0
x = -13/2
x = 8/9 |
Determine x in x^2 - 25/2x + 77/2 = 0 | x^2 - 25/2x + 77/2 = 0
(x - 11/2)(x - 7) = 0
x - 11/2 = 0 or x - 7 = 0
x = 11/2
x = 7 |
What value of x satisfies x^3 + 1/8x^2 - 61/32x + 15/64 = 0 | x^3 + 1/8x^2 - 61/32x + 15/64 = 0
(x - 5/4)(x - -3/2)(x - 1/8) = 0
x - 5/4 = 0
x - -3/2 = 0
x - 1/8 = 0
x = 5/4
x = -3/2
x = 1/8 |
Solve x^3 - 31/18x^2 - 181/225x + 133/150 = 0 | x^3 - 31/18x^2 - 181/225x + 133/150 = 0
(x - -7/9)(x - 19/10)(x - 3/5) = 0
x - -7/9 = 0
x - 19/10 = 0
x - 3/5 = 0
x = -7/9
x = 19/10
x = 3/5 |
Find x and y such that
3x + 3y = 72/7
5x + 9y = 160/7 | 3x + 3y = 72/7
5x + 9y = 160/7
Using elimination
5*(3x + 3y = 72/7)
3*(5x + 9y = 160/7)
15x + 15y = 360/7
15x + 27y = 480/7
Subtract equations
-12y = -120/7
y = -120/7/-12
y = 10/7
Substitute y
3x + 3(10/7) = 72/7
3x = 6
x = 6/3
x = 2 |
Find x for x^2 - 47/9x - 14/3 = 0 | x^2 - 47/9x - 14/3 = 0
(x - -7/9)(x - 6) = 0
x - -7/9 = 0 or x - 6 = 0
x = -7/9
x = 6 |
Solve 2x + 13/5 = 0 | 2x + 13/5 = 0
2x = -13/5
x = -13/5 / 2
x = -13/10 |
Solve the equations:
6x + 7y = 43/6
2x + 8y = 10/3 | 6x + 7y = 43/6
2x + 8y = 10/3
Using elimination
2*(6x + 7y = 43/6)
6*(2x + 8y = 10/3)
12x + 14y = 43/3
12x + 48y = 20
Subtract equations
-34y = -17/3
y = -17/3/-34
y = 1/6
Substitute y
6x + 7(1/6) = 43/6
6x = 6
x = 6/6
x = 1 |
Solve the system:
2x + 10y = -1
1x + 2y = 10 | 2x + 10y = -1
1x + 2y = 10
Using elimination
1*(2x + 10y = -1)
2*(1x + 2y = 10)
2x + 10y = -1
2x + 4y = 20
Subtract equations
6y = -21
y = -21/6
y = -7/2
Substitute y
2x + 10(-7/2) = -1
2x = 34
x = 34/2
x = 17 |
Solve 1x + 13/9 = 0 | 1x + 13/9 = 0
1x = -13/9
x = -13/9 / 1
x = -13/9 |
Solve simultaneously:
10x + 9y = 23/8
9x + 9y = 27/8 | 10x + 9y = 23/8
9x + 9y = 27/8
Using elimination
9*(10x + 9y = 23/8)
10*(9x + 9y = 27/8)
90x + 81y = 207/8
90x + 90y = 135/4
Subtract equations
-9y = -63/8
y = -63/8/-9
y = 7/8
Substitute y
10x + 9(7/8) = 23/8
10x = -5
x = -5/10
x = -1/2 |
Find x in x^3 - 881/210x^2 - 1/7x + 323/30 = 0 | x^3 - 881/210x^2 - 1/7x + 323/30 = 0
(x - -7/5)(x - 17/7)(x - 19/6) = 0
x - -7/5 = 0
x - 17/7 = 0
x - 19/6 = 0
x = -7/5
x = 17/7
x = 19/6 |
Solve the system:
1x + 1y = 29/7
10x + 5y = 150/7 | 1x + 1y = 29/7
10x + 5y = 150/7
Using elimination
10*(1x + 1y = 29/7)
1*(10x + 5y = 150/7)
10x + 10y = 290/7
10x + 5y = 150/7
Subtract equations
5y = 20
y = 20/5
y = 4
Substitute y
1x + 1(4) = 29/7
1x = 1/7
x = 1/7/1
x = 1/7 |
Solve the equation 1x - 5/4 = 0 | 1x - 5/4 = 0
1x = 5/4
x = 5/4 / 1
x = 5/4 |
Solve 6x + 9 = 0 | 6x + 9 = 0
6x = -9
x = -9 / 6
x = -3/2 |
What value of x satisfies x^2 - 13/20x - 18/5 = 0 | x^2 - 13/20x - 18/5 = 0
(x - 9/4)(x - -8/5) = 0
x - 9/4 = 0 or x - -8/5 = 0
x = 9/4
x = -8/5 |
Solve simultaneously:
7x + 3y = 170
5x + 1y = 110 | 7x + 3y = 170
5x + 1y = 110
Using elimination
5*(7x + 3y = 170)
7*(5x + 1y = 110)
35x + 15y = 850
35x + 7y = 770
Subtract equations
8y = 80
y = 80/8
y = 10
Substitute y
7x + 3(10) = 170
7x = 140
x = 140/7
x = 20 |
Find the solution to x^2 + 43/7x + 6/7 = 0 | x^2 + 43/7x + 6/7 = 0
(x - -6)(x - -1/7) = 0
x - -6 = 0 or x - -1/7 = 0
x = -6
x = -1/7 |
Determine x in 8x - 16/7 = 0 | 8x - 16/7 = 0
8x = 16/7
x = 16/7 / 8
x = 2/7 |
Find x in x^2 - 46/21x - 80/21 = 0 | x^2 - 46/21x - 80/21 = 0
(x - 10/3)(x - -8/7) = 0
x - 10/3 = 0 or x - -8/7 = 0
x = 10/3
x = -8/7 |
Solve the system:
3x + 6y = 19
5x + 4y = 29/3 | 3x + 6y = 19
5x + 4y = 29/3
Using elimination
5*(3x + 6y = 19)
3*(5x + 4y = 29/3)
15x + 30y = 95
15x + 12y = 29
Subtract equations
18y = 66
y = 66/18
y = 11/3
Substitute y
3x + 6(11/3) = 19
3x = -3
x = -3/3
x = -1 |
Find x for x^2 + 46/5x + 96/5 = 0 | x^2 + 46/5x + 96/5 = 0
(x - -16/5)(x - -6) = 0
x - -16/5 = 0 or x - -6 = 0
x = -16/5
x = -6 |
Compute the solution of x^3 - 23/3x^2 - 41x + 143/3 = 0 | x^3 - 23/3x^2 - 41x + 143/3 = 0
(x - 1)(x - 11)(x - -13/3) = 0
x - 1 = 0
x - 11 = 0
x - -13/3 = 0
x = 1
x = 11
x = -13/3 |
Solve the equations:
1x + 7y = -149/12
5x + 7y = -157/12 | 1x + 7y = -149/12
5x + 7y = -157/12
Using elimination
5*(1x + 7y = -149/12)
1*(5x + 7y = -157/12)
5x + 35y = -745/12
5x + 7y = -157/12
Subtract equations
28y = -49
y = -49/28
y = -7/4
Substitute y
1x + 7(-7/4) = -149/12
1x = -1/6
x = -1/6/1
x = -1/6 |
Find x and y such that
2x + 6y = 198/7
6x + 4y = 410/21 | 2x + 6y = 198/7
6x + 4y = 410/21
Using elimination
6*(2x + 6y = 198/7)
2*(6x + 4y = 410/21)
12x + 36y = 1188/7
12x + 8y = 820/21
Subtract equations
28y = 392/3
y = 392/3/28
y = 14/3
Substitute y
2x + 6(14/3) = 198/7
2x = 2/7
x = 2/7/2
x = 1/7 |
Solve the equation x^3 + 3x^2 - 9/16x - 55/16 = 0 | x^3 + 3x^2 - 9/16x - 55/16 = 0
(x - -5/4)(x - -11/4)(x - 1) = 0
x - -5/4 = 0
x - -11/4 = 0
x - 1 = 0
x = -5/4
x = -11/4
x = 1 |
Solve x^3 + 119/24x^2 - 1535/144x + 175/36 = 0 | x^3 + 119/24x^2 - 1535/144x + 175/36 = 0
(x - 5/6)(x - -20/3)(x - 7/8) = 0
x - 5/6 = 0
x - -20/3 = 0
x - 7/8 = 0
x = 5/6
x = -20/3
x = 7/8 |
Find x for 2x + 2/5 = 0 | 2x + 2/5 = 0
2x = -2/5
x = -2/5 / 2
x = -1/5 |
Solve quickly: x^2 - 41/8x - 21/4 = 0 | x^2 - 41/8x - 21/4 = 0
(x - -7/8)(x - 6) = 0
x - -7/8 = 0 or x - 6 = 0
x = -7/8
x = 6 |
Solve the system:
6x + 7y = -105
10x + 8y = -1258/7 | 6x + 7y = -105
10x + 8y = -1258/7
Using elimination
10*(6x + 7y = -105)
6*(10x + 8y = -1258/7)
60x + 70y = -1050
60x + 48y = -7548/7
Subtract equations
22y = 198/7
y = 198/7/22
y = 9/7
Substitute y
6x + 7(9/7) = -105
6x = -114
x = -114/6
x = -19 |
Compute the solution of x^2 + 39/20x + 9/10 = 0 | x^2 + 39/20x + 9/10 = 0
(x - -3/4)(x - -6/5) = 0
x - -3/4 = 0 or x - -6/5 = 0
x = -3/4
x = -6/5 |
Solve quickly: 6x - 11 = 0 | 6x - 11 = 0
6x = 11
x = 11 / 6
x = 11/6 |
Find x for x^2 - 46/5x - 8 = 0 | x^2 - 46/5x - 8 = 0
(x - -4/5)(x - 10) = 0
x - -4/5 = 0 or x - 10 = 0
x = -4/5
x = 10 |
Solve quickly: x^2 + 1/2x - 3/2 = 0 | x^2 + 1/2x - 3/2 = 0
(x - -3/2)(x - 1) = 0
x - -3/2 = 0 or x - 1 = 0
x = -3/2
x = 1 |
Find the solution to 4x - 16/3 = 0 | 4x - 16/3 = 0
4x = 16/3
x = 16/3 / 4
x = 4/3 |
Solve the equations:
4x + 3y = -1/5
10x + 2y = -8/5 | 4x + 3y = -1/5
10x + 2y = -8/5
Using elimination
10*(4x + 3y = -1/5)
4*(10x + 2y = -8/5)
40x + 30y = -2
40x + 8y = -32/5
Subtract equations
22y = 22/5
y = 22/5/22
y = 1/5
Substitute y
4x + 3(1/5) = -1/5
4x = -4/5
x = -4/5/4
x = -1/5 |
Find x and y such that
3x + 8y = -18
1x + 9y = -169/6 | 3x + 8y = -18
1x + 9y = -169/6
Using elimination
1*(3x + 8y = -18)
3*(1x + 9y = -169/6)
3x + 8y = -18
3x + 27y = -169/2
Subtract equations
-19y = 133/2
y = 133/2/-19
y = -7/2
Substitute y
3x + 8(-7/2) = -18
3x = 10
x = 10/3
x = 10/3 |
Find x for 2x - 5/4 = 0 | 2x - 5/4 = 0
2x = 5/4
x = 5/4 / 2
x = 5/8 |
Solve 5x - 35 = 0 | 5x - 35 = 0
5x = 35
x = 35 / 5
x = 7 |
Solve the system:
4x + 7y = -70/3
6x + 3y = -5 | 4x + 7y = -70/3
6x + 3y = -5
Using elimination
6*(4x + 7y = -70/3)
4*(6x + 3y = -5)
24x + 42y = -140
24x + 12y = -20
Subtract equations
30y = -120
y = -120/30
y = -4
Substitute y
4x + 7(-4) = -70/3
4x = 14/3
x = 14/3/4
x = 7/6 |
Solve x^3 - 31/3x^2 + 535/36x + 221/36 = 0 | x^3 - 31/3x^2 + 535/36x + 221/36 = 0
(x - -1/3)(x - 13/6)(x - 17/2) = 0
x - -1/3 = 0
x - 13/6 = 0
x - 17/2 = 0
x = -1/3
x = 13/6
x = 17/2 |
What value of x satisfies x^3 - 77/20x^2 - 49/10x + 68/5 = 0 | x^3 - 77/20x^2 - 49/10x + 68/5 = 0
(x - 8/5)(x - 17/4)(x - -2) = 0
x - 8/5 = 0
x - 17/4 = 0
x - -2 = 0
x = 8/5
x = 17/4
x = -2 |
Solve simultaneously:
7x + 4y = -72/5
7x + 10y = -21 | 7x + 4y = -72/5
7x + 10y = -21
Using elimination
7*(7x + 4y = -72/5)
7*(7x + 10y = -21)
49x + 28y = -504/5
49x + 70y = -147
Subtract equations
-42y = 231/5
y = 231/5/-42
y = -11/10
Substitute y
7x + 4(-11/10) = -72/5
7x = -10
x = -10/7
x = -10/7 |
What value of x satisfies 1x - 16/7 = 0 | 1x - 16/7 = 0
1x = 16/7
x = 16/7 / 1
x = 16/7 |
Find x for 5x - 25/3 = 0 | 5x - 25/3 = 0
5x = 25/3
x = 25/3 / 5
x = 5/3 |
What value of x satisfies x^3 + 55/18x^2 - 137/18x - 5 = 0 | x^3 + 55/18x^2 - 137/18x - 5 = 0
(x - 2)(x - -5/9)(x - -9/2) = 0
x - 2 = 0
x - -5/9 = 0
x - -9/2 = 0
x = 2
x = -5/9
x = -9/2 |
Compute the solution of x^2 + 57/20x - 27/8 = 0 | x^2 + 57/20x - 27/8 = 0
(x - -15/4)(x - 9/10) = 0
x - -15/4 = 0 or x - 9/10 = 0
x = -15/4
x = 9/10 |
Solve the equation 5x - 45/8 = 0 | 5x - 45/8 = 0
5x = 45/8
x = 45/8 / 5
x = 9/8 |
Find x for 5x - 60/7 = 0 | 5x - 60/7 = 0
5x = 60/7
x = 60/7 / 5
x = 12/7 |
Find x and y such that
9x + 6y = -99/4
7x + 8y = -18 | 9x + 6y = -99/4
7x + 8y = -18
Using elimination
7*(9x + 6y = -99/4)
9*(7x + 8y = -18)
63x + 42y = -693/4
63x + 72y = -162
Subtract equations
-30y = -45/4
y = -45/4/-30
y = 3/8
Substitute y
9x + 6(3/8) = -99/4
9x = -27
x = -27/9
x = -3 |
Solve quickly: 1x + 2/3 = 0 | 1x + 2/3 = 0
1x = -2/3
x = -2/3 / 1
x = -2/3 |
Find x in x^3 - 259/20x^2 + 601/20x - 11/2 = 0 | x^3 - 259/20x^2 + 601/20x - 11/2 = 0
(x - 1/5)(x - 11/4)(x - 10) = 0
x - 1/5 = 0
x - 11/4 = 0
x - 10 = 0
x = 1/5
x = 11/4
x = 10 |
Find x in x^3 + 109/30x^2 - 38/15x - 21/2 = 0 | x^3 + 109/30x^2 - 38/15x - 21/2 = 0
(x - 5/3)(x - -7/2)(x - -9/5) = 0
x - 5/3 = 0
x - -7/2 = 0
x - -9/5 = 0
x = 5/3
x = -7/2
x = -9/5 |
What value of x satisfies x^3 + 41/40x^2 - 179/200x + 13/100 = 0 | x^3 + 41/40x^2 - 179/200x + 13/100 = 0
(x - 2/5)(x - 1/5)(x - -13/8) = 0
x - 2/5 = 0
x - 1/5 = 0
x - -13/8 = 0
x = 2/5
x = 1/5
x = -13/8 |
Find the solution to x^2 + 163/21x + 272/21 = 0 | x^2 + 163/21x + 272/21 = 0
(x - -16/3)(x - -17/7) = 0
x - -16/3 = 0 or x - -17/7 = 0
x = -16/3
x = -17/7 |
Solve quickly: x^3 + 23/10x^2 - 2x + 3/10 = 0 | x^3 + 23/10x^2 - 2x + 3/10 = 0
(x - 1/5)(x - -3)(x - 1/2) = 0
x - 1/5 = 0
x - -3 = 0
x - 1/2 = 0
x = 1/5
x = -3
x = 1/2 |
Find the solution to 9x + 135/7 = 0 | 9x + 135/7 = 0
9x = -135/7
x = -135/7 / 9
x = -15/7 |
Solve quickly: x^3 - 233/60x^2 + 521/120x - 3/2 = 0 | x^3 - 233/60x^2 + 521/120x - 3/2 = 0
(x - 4/5)(x - 9/4)(x - 5/6) = 0
x - 4/5 = 0
x - 9/4 = 0
x - 5/6 = 0
x = 4/5
x = 9/4
x = 5/6 |
Solve quickly: x^2 - 11/10x - 7/2 = 0 | x^2 - 11/10x - 7/2 = 0
(x - 5/2)(x - -7/5) = 0
x - 5/2 = 0 or x - -7/5 = 0
x = 5/2
x = -7/5 |
Determine x in 6x + 66 = 0 | 6x + 66 = 0
6x = -66
x = -66 / 6
x = -11 |
Solve the system:
4x + 3y = -22/3
5x + 10y = -65/3 | 4x + 3y = -22/3
5x + 10y = -65/3
Using elimination
5*(4x + 3y = -22/3)
4*(5x + 10y = -65/3)
20x + 15y = -110/3
20x + 40y = -260/3
Subtract equations
-25y = 50
y = 50/-25
y = -2
Substitute y
4x + 3(-2) = -22/3
4x = -4/3
x = -4/3/4
x = -1/3 |
Solve the system:
8x + 4y = -74/7
1x + 5y = -113/14 | 8x + 4y = -74/7
1x + 5y = -113/14
Using elimination
1*(8x + 4y = -74/7)
8*(1x + 5y = -113/14)
8x + 4y = -74/7
8x + 40y = -452/7
Subtract equations
-36y = 54
y = 54/-36
y = -3/2
Substitute y
8x + 4(-3/2) = -74/7
8x = -32/7
x = -32/7/8
x = -4/7 |
Find x and y such that
8x + 8y = -4/5
7x + 9y = 29/10 | 8x + 8y = -4/5
7x + 9y = 29/10
Using elimination
7*(8x + 8y = -4/5)
8*(7x + 9y = 29/10)
56x + 56y = -28/5
56x + 72y = 116/5
Subtract equations
-16y = -144/5
y = -144/5/-16
y = 9/5
Substitute y
8x + 8(9/5) = -4/5
8x = -76/5
x = -76/5/8
x = -19/10 |
Solve the equation x^2 - 28/15x - 32/15 = 0 | x^2 - 28/15x - 32/15 = 0
(x - 8/3)(x - -4/5) = 0
x - 8/3 = 0 or x - -4/5 = 0
x = 8/3
x = -4/5 |
What value of x satisfies x^2 - 8x - 9 = 0 | x^2 - 8x - 9 = 0
(x - 9)(x - -1) = 0
x - 9 = 0 or x - -1 = 0
x = 9
x = -1 |
Solve quickly: 8x - 128 = 0 | 8x - 128 = 0
8x = 128
x = 128 / 8
x = 16 |
Solve simultaneously:
7x + 4y = -80/7
3x + 3y = -51/7 | 7x + 4y = -80/7
3x + 3y = -51/7
Using elimination
3*(7x + 4y = -80/7)
7*(3x + 3y = -51/7)
21x + 12y = -240/7
21x + 21y = -51
Subtract equations
-9y = 117/7
y = 117/7/-9
y = -13/7
Substitute y
7x + 4(-13/7) = -80/7
7x = -4
x = -4/7
x = -4/7 |
Find x for x^3 + 4x^2 - 135/4x - 225/4 = 0 | x^3 + 4x^2 - 135/4x - 225/4 = 0
(x - -15/2)(x - -3/2)(x - 5) = 0
x - -15/2 = 0
x - -3/2 = 0
x - 5 = 0
x = -15/2
x = -3/2
x = 5 |
Solve quickly: 3x + 6 = 0 | 3x + 6 = 0
3x = -6
x = -6 / 3
x = -2 |
Determine x in x^2 - 17/5x - 99/20 = 0 | x^2 - 17/5x - 99/20 = 0
(x - -11/10)(x - 9/2) = 0
x - -11/10 = 0 or x - 9/2 = 0
x = -11/10
x = 9/2 |
Solve simultaneously:
8x + 4y = -200/7
2x + 4y = -86/7 | 8x + 4y = -200/7
2x + 4y = -86/7
Using elimination
2*(8x + 4y = -200/7)
8*(2x + 4y = -86/7)
16x + 8y = -400/7
16x + 32y = -688/7
Subtract equations
-24y = 288/7
y = 288/7/-24
y = -12/7
Substitute y
8x + 4(-12/7) = -200/7
8x = -152/7
x = -152/7/8
x = -19/7 |
Find x and y such that
9x + 1y = -157/15
2x + 3y = -7/5 | 9x + 1y = -157/15
2x + 3y = -7/5
Using elimination
2*(9x + 1y = -157/15)
9*(2x + 3y = -7/5)
18x + 2y = -314/15
18x + 27y = -63/5
Subtract equations
-25y = -25/3
y = -25/3/-25
y = 1/3
Substitute y
9x + 1(1/3) = -157/15
9x = -54/5
x = -54/5/9
x = -6/5 |
Solve 3x - 9/2 = 0 | 3x - 9/2 = 0
3x = 9/2
x = 9/2 / 3
x = 3/2 |
Solve the equation 10x + 20/7 = 0 | 10x + 20/7 = 0
10x = -20/7
x = -20/7 / 10
x = -2/7 |
Find x for x^2 - 37/9x + 38/9 = 0 | x^2 - 37/9x + 38/9 = 0
(x - 19/9)(x - 2) = 0
x - 19/9 = 0 or x - 2 = 0
x = 19/9
x = 2 |
Find the solution to x^3 + 487/140x^2 - 379/56x - 969/280 = 0 | x^3 + 487/140x^2 - 379/56x - 969/280 = 0
(x - 17/10)(x - -19/4)(x - -3/7) = 0
x - 17/10 = 0
x - -19/4 = 0
x - -3/7 = 0
x = 17/10
x = -19/4
x = -3/7 |
Find x in 2x + 3/2 = 0 | 2x + 3/2 = 0
2x = -3/2
x = -3/2 / 2
x = -3/4 |
Solve the system:
9x + 10y = 123/4
5x + 5y = 1135/72 | 9x + 10y = 123/4
5x + 5y = 1135/72
Using elimination
5*(9x + 10y = 123/4)
9*(5x + 5y = 1135/72)
45x + 50y = 615/4
45x + 45y = 1135/8
Subtract equations
5y = 95/8
y = 95/8/5
y = 19/8
Substitute y
9x + 10(19/8) = 123/4
9x = 7
x = 7/9
x = 7/9 |
Solve quickly: x^2 + 11/2x + 68/9 = 0 | x^2 + 11/2x + 68/9 = 0
(x - -17/6)(x - -8/3) = 0
x - -17/6 = 0 or x - -8/3 = 0
x = -17/6
x = -8/3 |
Solve the equations:
1x + 3y = 4
9x + 6y = 36 | 1x + 3y = 4
9x + 6y = 36
Using elimination
9*(1x + 3y = 4)
1*(9x + 6y = 36)
9x + 27y = 36
9x + 6y = 36
Subtract equations
21y = 0
y = 0/21
y = 0
Substitute y
1x + 3(0) = 4
1x = 4
x = 4/1
x = 4 |
Find x and y such that
9x + 2y = 141
10x + 9y = 177 | 9x + 2y = 141
10x + 9y = 177
Using elimination
10*(9x + 2y = 141)
9*(10x + 9y = 177)
90x + 20y = 1410
90x + 81y = 1593
Subtract equations
-61y = -183
y = -183/-61
y = 3
Substitute y
9x + 2(3) = 141
9x = 135
x = 135/9
x = 15 |
Solve 2x - 3 = 0 | 2x - 3 = 0
2x = 3
x = 3 / 2
x = 3/2 |
Solve 1x = 0 | 1x = 0
1x = 0
x = 0 / 1
x = 0 |
Find x and y such that
3x + 3y = 57/8
2x + 9y = 143/8 | 3x + 3y = 57/8
2x + 9y = 143/8
Using elimination
2*(3x + 3y = 57/8)
3*(2x + 9y = 143/8)
6x + 6y = 57/4
6x + 27y = 429/8
Subtract equations
-21y = -315/8
y = -315/8/-21
y = 15/8
Substitute y
3x + 3(15/8) = 57/8
3x = 3/2
x = 3/2/3
x = 1/2 |
Solve simultaneously:
9x + 8y = 286/35
5x + 4y = 30/7 | 9x + 8y = 286/35
5x + 4y = 30/7
Using elimination
5*(9x + 8y = 286/35)
9*(5x + 4y = 30/7)
45x + 40y = 286/7
45x + 36y = 270/7
Subtract equations
4y = 16/7
y = 16/7/4
y = 4/7
Substitute y
9x + 8(4/7) = 286/35
9x = 18/5
x = 18/5/9
x = 2/5 |
Solve simultaneously:
7x + 3y = 1/3
3x + 4y = 11 | 7x + 3y = 1/3
3x + 4y = 11
Using elimination
3*(7x + 3y = 1/3)
7*(3x + 4y = 11)
21x + 9y = 1
21x + 28y = 77
Subtract equations
-19y = -76
y = -76/-19
y = 4
Substitute y
7x + 3(4) = 1/3
7x = -35/3
x = -35/3/7
x = -5/3 |
Solve simultaneously:
9x + 10y = -311/8
7x + 7y = -231/8 | 9x + 10y = -311/8
7x + 7y = -231/8
Using elimination
7*(9x + 10y = -311/8)
9*(7x + 7y = -231/8)
63x + 70y = -2177/8
63x + 63y = -2079/8
Subtract equations
7y = -49/4
y = -49/4/7
y = -7/4
Substitute y
9x + 10(-7/4) = -311/8
9x = -171/8
x = -171/8/9
x = -19/8 |
Solve x^2 - 4/5x - 28/5 = 0 | x^2 - 4/5x - 28/5 = 0
(x - -2)(x - 14/5) = 0
x - -2 = 0 or x - 14/5 = 0
x = -2
x = 14/5 |
Find the solution to x^3 - 281/30x^2 + 43/3x - 5/2 = 0 | x^3 - 281/30x^2 + 43/3x - 5/2 = 0
(x - 15/2)(x - 5/3)(x - 1/5) = 0
x - 15/2 = 0
x - 5/3 = 0
x - 1/5 = 0
x = 15/2
x = 5/3
x = 1/5 |
Find the solution to x^3 - 19/35x^2 - 99/35x - 9/7 = 0 | x^3 - 19/35x^2 - 99/35x - 9/7 = 0
(x - 15/7)(x - -1)(x - -3/5) = 0
x - 15/7 = 0
x - -1 = 0
x - -3/5 = 0
x = 15/7
x = -1
x = -3/5 |
Compute the solution of x^2 - 1 = 0 | x^2 - 1 = 0
(x - 1)(x - -1) = 0
x - 1 = 0 or x - -1 = 0
x = 1
x = -1 |
Find x in x^2 + 200/63x + 128/63 = 0 | x^2 + 200/63x + 128/63 = 0
(x - -8/9)(x - -16/7) = 0
x - -8/9 = 0 or x - -16/7 = 0
x = -8/9
x = -16/7 |
Solve the equation x^3 - 849/40x^2 + 199/8x - 15/2 = 0 | x^3 - 849/40x^2 + 199/8x - 15/2 = 0
(x - 3/5)(x - 5/8)(x - 20) = 0
x - 3/5 = 0
x - 5/8 = 0
x - 20 = 0
x = 3/5
x = 5/8
x = 20 |
What value of x satisfies 8x + 80/3 = 0 | 8x + 80/3 = 0
8x = -80/3
x = -80/3 / 8
x = -10/3 |
Solve the system:
5x + 2y = -1175/72
1x + 10y = -1771/72 | 5x + 2y = -1175/72
1x + 10y = -1771/72
Using elimination
1*(5x + 2y = -1175/72)
5*(1x + 10y = -1771/72)
5x + 2y = -1175/72
5x + 50y = -8855/72
Subtract equations
-48y = 320/3
y = 320/3/-48
y = -20/9
Substitute y
5x + 2(-20/9) = -1175/72
5x = -95/8
x = -95/8/5
x = -19/8 |
What value of x satisfies x^3 + 335/72x^2 + 1121/288x - 13/6 = 0 | x^3 + 335/72x^2 + 1121/288x - 13/6 = 0
(x - -13/4)(x - 3/8)(x - -16/9) = 0
x - -13/4 = 0
x - 3/8 = 0
x - -16/9 = 0
x = -13/4
x = 3/8
x = -16/9 |
Find x and y such that
2x + 7y = 97/45
10x + 3y = 773/45 | 2x + 7y = 97/45
10x + 3y = 773/45
Using elimination
10*(2x + 7y = 97/45)
2*(10x + 3y = 773/45)
20x + 70y = 194/9
20x + 6y = 1546/45
Subtract equations
64y = -64/5
y = -64/5/64
y = -1/5
Substitute y
2x + 7(-1/5) = 97/45
2x = 32/9
x = 32/9/2
x = 16/9 |
What value of x satisfies x^3 - 263/60x^2 + 44/15x + 21/5 = 0 | x^3 - 263/60x^2 + 44/15x + 21/5 = 0
(x - -2/3)(x - 9/4)(x - 14/5) = 0
x - -2/3 = 0
x - 9/4 = 0
x - 14/5 = 0
x = -2/3
x = 9/4
x = 14/5 |
Find x for x^3 - 71/8x^2 + 2891/144x - 19/3 = 0 | x^3 - 71/8x^2 + 2891/144x - 19/3 = 0
(x - 16/3)(x - 19/6)(x - 3/8) = 0
x - 16/3 = 0
x - 19/6 = 0
x - 3/8 = 0
x = 16/3
x = 19/6
x = 3/8 |
Solve the equations:
4x + 10y = 19
7x + 6y = 57/5 | 4x + 10y = 19
7x + 6y = 57/5
Using elimination
7*(4x + 10y = 19)
4*(7x + 6y = 57/5)
28x + 70y = 133
28x + 24y = 228/5
Subtract equations
46y = 437/5
y = 437/5/46
y = 19/10
Substitute y
4x + 10(19/10) = 19
4x = 0
x = 0/4
x = 0 |
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