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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