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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