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What value of x satisfies x^3 - 37/10x^2 + 11/20x + 21/40 = 0
x^3 - 37/10x^2 + 11/20x + 21/40 = 0 (x - 1/2)(x - -3/10)(x - 7/2) = 0 x - 1/2 = 0 x - -3/10 = 0 x - 7/2 = 0 x = 1/2 x = -3/10 x = 7/2
Solve the equation x^2 - 11/3x - 26/9 = 0
x^2 - 11/3x - 26/9 = 0 (x - 13/3)(x - -2/3) = 0 x - 13/3 = 0 or x - -2/3 = 0 x = 13/3 x = -2/3
Solve simultaneously: 10x + 9y = 307/5 6x + 5y = 37
10x + 9y = 307/5 6x + 5y = 37 Using elimination 6*(10x + 9y = 307/5) 10*(6x + 5y = 37) 60x + 54y = 1842/5 60x + 50y = 370 Subtract equations 4y = -8/5 y = -8/5/4 y = -2/5 Substitute y 10x + 9(-2/5) = 307/5 10x = 65 x = 65/10 x = 13/2
Compute the solution of 7x + 21 = 0
7x + 21 = 0 7x = -21 x = -21 / 7 x = -3
Solve x^2 - 17/3x - 76 = 0
x^2 - 17/3x - 76 = 0 (x - 12)(x - -19/3) = 0 x - 12 = 0 or x - -19/3 = 0 x = 12 x = -19/3
Solve quickly: x^2 + 259/72x + 209/72 = 0
x^2 + 259/72x + 209/72 = 0 (x - -19/8)(x - -11/9) = 0 x - -19/8 = 0 or x - -11/9 = 0 x = -19/8 x = -11/9
Solve x^2 - 4/3x - 4/3 = 0
x^2 - 4/3x - 4/3 = 0 (x - -2/3)(x - 2) = 0 x - -2/3 = 0 or x - 2 = 0 x = -2/3 x = 2
Solve the equation 9x + 135/7 = 0
9x + 135/7 = 0 9x = -135/7 x = -135/7 / 9 x = -15/7
Solve the equations: 10x + 10y = -100/3 1x + 8y = -52/3
10x + 10y = -100/3 1x + 8y = -52/3 Using elimination 1*(10x + 10y = -100/3) 10*(1x + 8y = -52/3) 10x + 10y = -100/3 10x + 80y = -520/3 Subtract equations -70y = 140 y = 140/-70 y = -2 Substitute y 10x + 10(-2) = -100/3 10x = -40/3 x = -40/3/10 x = -4/3
Find x for x^2 + 55/4x + 323/8 = 0
x^2 + 55/4x + 323/8 = 0 (x - -17/4)(x - -19/2) = 0 x - -17/4 = 0 or x - -19/2 = 0 x = -17/4 x = -19/2
Solve x^2 - 7/3x - 26/3 = 0
x^2 - 7/3x - 26/3 = 0 (x - -2)(x - 13/3) = 0 x - -2 = 0 or x - 13/3 = 0 x = -2 x = 13/3
Compute the solution of x^2 - 13/4x - 3 = 0
x^2 - 13/4x - 3 = 0 (x - 4)(x - -3/4) = 0 x - 4 = 0 or x - -3/4 = 0 x = 4 x = -3/4
Solve the system: 6x + 3y = 446/21 7x + 3y = 1471/63
6x + 3y = 446/21 7x + 3y = 1471/63 Using elimination 7*(6x + 3y = 446/21) 6*(7x + 3y = 1471/63) 42x + 21y = 446/3 42x + 18y = 2942/21 Subtract equations 3y = 60/7 y = 60/7/3 y = 20/7 Substitute y 6x + 3(20/7) = 446/21 6x = 38/3 x = 38/3/6 x = 19/9
Find x for 8x + 136/9 = 0
8x + 136/9 = 0 8x = -136/9 x = -136/9 / 8 x = -17/9
Solve the equation x^2 - 39/40x - 1 = 0
x^2 - 39/40x - 1 = 0 (x - 8/5)(x - -5/8) = 0 x - 8/5 = 0 or x - -5/8 = 0 x = 8/5 x = -5/8
Solve the equation 7x + 119/4 = 0
7x + 119/4 = 0 7x = -119/4 x = -119/4 / 7 x = -17/4
Determine x in x^2 - 71/8x - 45/4 = 0
x^2 - 71/8x - 45/4 = 0 (x - 10)(x - -9/8) = 0 x - 10 = 0 or x - -9/8 = 0 x = 10 x = -9/8
Solve quickly: 1x + 3/4 = 0
1x + 3/4 = 0 1x = -3/4 x = -3/4 / 1 x = -3/4
Determine x in x^2 + 3/8x - 13/4 = 0
x^2 + 3/8x - 13/4 = 0 (x - 13/8)(x - -2) = 0 x - 13/8 = 0 or x - -2 = 0 x = 13/8 x = -2
Find the solution to x^2 - 15/7x = 0
x^2 - 15/7x = 0 (x - 15/7)(x - 0) = 0 x - 15/7 = 0 or x - 0 = 0 x = 15/7 x = 0
Find x and y such that 9x + 4y = -98/5 1x + 10y = -6
9x + 4y = -98/5 1x + 10y = -6 Using elimination 1*(9x + 4y = -98/5) 9*(1x + 10y = -6) 9x + 4y = -98/5 9x + 90y = -54 Subtract equations -86y = 172/5 y = 172/5/-86 y = -2/5 Substitute y 9x + 4(-2/5) = -98/5 9x = -18 x = -18/9 x = -2
Determine x in x^3 + 21x^2 + 104x = 0
x^3 + 21x^2 + 104x = 0 (x - 0)(x - -8)(x - -13) = 0 x - 0 = 0 x - -8 = 0 x - -13 = 0 x = 0 x = -8 x = -13
Determine x in x^2 + 3/2x + 11/25 = 0
x^2 + 3/2x + 11/25 = 0 (x - -11/10)(x - -2/5) = 0 x - -11/10 = 0 or x - -2/5 = 0 x = -11/10 x = -2/5
Find x and y such that 3x + 2y = 19/2 9x + 10y = 71/2
3x + 2y = 19/2 9x + 10y = 71/2 Using elimination 9*(3x + 2y = 19/2) 3*(9x + 10y = 71/2) 27x + 18y = 171/2 27x + 30y = 213/2 Subtract equations -12y = -21 y = -21/-12 y = 7/4 Substitute y 3x + 2(7/4) = 19/2 3x = 6 x = 6/3 x = 2
Find x in 3x + 18 = 0
3x + 18 = 0 3x = -18 x = -18 / 3 x = -6
Determine x in 8x - 40/3 = 0
8x - 40/3 = 0 8x = 40/3 x = 40/3 / 8 x = 5/3
Find x in x^2 + 11/8x - 5/4 = 0
x^2 + 11/8x - 5/4 = 0 (x - -2)(x - 5/8) = 0 x - -2 = 0 or x - 5/8 = 0 x = -2 x = 5/8
Solve simultaneously: 9x + 5y = -91/2 9x + 3y = -93/2
9x + 5y = -91/2 9x + 3y = -93/2 Using elimination 9*(9x + 5y = -91/2) 9*(9x + 3y = -93/2) 81x + 45y = -819/2 81x + 27y = -837/2 Subtract equations 18y = 9 y = 9/18 y = 1/2 Substitute y 9x + 5(1/2) = -91/2 9x = -48 x = -48/9 x = -16/3
Solve simultaneously: 1x + 10y = -9/4 8x + 1y = -18
1x + 10y = -9/4 8x + 1y = -18 Using elimination 8*(1x + 10y = -9/4) 1*(8x + 1y = -18) 8x + 80y = -18 8x + 1y = -18 Subtract equations 79y = 0 y = 0/79 y = 0 Substitute y 1x + 10(0) = -9/4 1x = -9/4 x = -9/4/1 x = -9/4
Solve 10x + 15/2 = 0
10x + 15/2 = 0 10x = -15/2 x = -15/2 / 10 x = -3/4
Find x for 4x - 38 = 0
4x - 38 = 0 4x = 38 x = 38 / 4 x = 19/2
Solve quickly: x^2 + 13/4x - 3 = 0
x^2 + 13/4x - 3 = 0 (x - 3/4)(x - -4) = 0 x - 3/4 = 0 or x - -4 = 0 x = 3/4 x = -4
What value of x satisfies 4x + 11/2 = 0
4x + 11/2 = 0 4x = -11/2 x = -11/2 / 4 x = -11/8
Solve 1x - 1/3 = 0
1x - 1/3 = 0 1x = 1/3 x = 1/3 / 1 x = 1/3
What value of x satisfies x^3 + 23/3x^2 + 2x - 56/3 = 0
x^3 + 23/3x^2 + 2x - 56/3 = 0 (x - -7)(x - -2)(x - 4/3) = 0 x - -7 = 0 x - -2 = 0 x - 4/3 = 0 x = -7 x = -2 x = 4/3
Solve quickly: 5x - 13 = 0
5x - 13 = 0 5x = 13 x = 13 / 5 x = 13/5
Solve x^3 - 29/36x^2 - 161/54x - 49/36 = 0
x^3 - 29/36x^2 - 161/54x - 49/36 = 0 (x - -3/4)(x - -7/9)(x - 7/3) = 0 x - -3/4 = 0 x - -7/9 = 0 x - 7/3 = 0 x = -3/4 x = -7/9 x = 7/3
Determine x in x^3 - 31/40x^2 - 361/160x + 77/80 = 0
x^3 - 31/40x^2 - 361/160x + 77/80 = 0 (x - 7/4)(x - 2/5)(x - -11/8) = 0 x - 7/4 = 0 x - 2/5 = 0 x - -11/8 = 0 x = 7/4 x = 2/5 x = -11/8
Solve simultaneously: 4x + 4y = 58/9 4x + 7y = 143/18
4x + 4y = 58/9 4x + 7y = 143/18 Using elimination 4*(4x + 4y = 58/9) 4*(4x + 7y = 143/18) 16x + 16y = 232/9 16x + 28y = 286/9 Subtract equations -12y = -6 y = -6/-12 y = 1/2 Substitute y 4x + 4(1/2) = 58/9 4x = 40/9 x = 40/9/4 x = 10/9
Solve the system: 10x + 6y = 79/7 6x + 4y = 46/7
10x + 6y = 79/7 6x + 4y = 46/7 Using elimination 6*(10x + 6y = 79/7) 10*(6x + 4y = 46/7) 60x + 36y = 474/7 60x + 40y = 460/7 Subtract equations -4y = 2 y = 2/-4 y = -1/2 Substitute y 10x + 6(-1/2) = 79/7 10x = 100/7 x = 100/7/10 x = 10/7
Determine x in x^3 + 53/12x^2 - 52/3x + 21/4 = 0
x^3 + 53/12x^2 - 52/3x + 21/4 = 0 (x - 9/4)(x - 1/3)(x - -7) = 0 x - 9/4 = 0 x - 1/3 = 0 x - -7 = 0 x = 9/4 x = 1/3 x = -7
Find x for x^2 - 87/8x - 27/2 = 0
x^2 - 87/8x - 27/2 = 0 (x - -9/8)(x - 12) = 0 x - -9/8 = 0 or x - 12 = 0 x = -9/8 x = 12
Solve quickly: x^3 - 43/70x^2 - 5/14x - 1/35 = 0
x^3 - 43/70x^2 - 5/14x - 1/35 = 0 (x - -1/10)(x - 1)(x - -2/7) = 0 x - -1/10 = 0 x - 1 = 0 x - -2/7 = 0 x = -1/10 x = 1 x = -2/7
Find x in 8x + 40/3 = 0
8x + 40/3 = 0 8x = -40/3 x = -40/3 / 8 x = -5/3
Find the solution to x^3 + 9/2x^2 - 9x = 0
x^3 + 9/2x^2 - 9x = 0 (x - 0)(x - 3/2)(x - -6) = 0 x - 0 = 0 x - 3/2 = 0 x - -6 = 0 x = 0 x = 3/2 x = -6
Solve simultaneously: 10x + 1y = -493/42 3x + 5y = -773/42
10x + 1y = -493/42 3x + 5y = -773/42 Using elimination 3*(10x + 1y = -493/42) 10*(3x + 5y = -773/42) 30x + 3y = -493/14 30x + 50y = -3865/21 Subtract equations -47y = 893/6 y = 893/6/-47 y = -19/6 Substitute y 10x + 1(-19/6) = -493/42 10x = -60/7 x = -60/7/10 x = -6/7
Solve the equation 10x + 160 = 0
10x + 160 = 0 10x = -160 x = -160 / 10 x = -16
Solve the equation x^2 - 19/3x - 68 = 0
x^2 - 19/3x - 68 = 0 (x - -17/3)(x - 12) = 0 x - -17/3 = 0 or x - 12 = 0 x = -17/3 x = 12
Find x in x^3 + 10x^2 - 1349/25x + 714/25 = 0
x^3 + 10x^2 - 1349/25x + 714/25 = 0 (x - 17/5)(x - -14)(x - 3/5) = 0 x - 17/5 = 0 x - -14 = 0 x - 3/5 = 0 x = 17/5 x = -14 x = 3/5
Determine x in 1x - 5/3 = 0
1x - 5/3 = 0 1x = 5/3 x = 5/3 / 1 x = 5/3
Find x and y such that 7x + 4y = 4/3 2x + 1y = 2/3
7x + 4y = 4/3 2x + 1y = 2/3 Using elimination 2*(7x + 4y = 4/3) 7*(2x + 1y = 2/3) 14x + 8y = 8/3 14x + 7y = 14/3 Subtract equations 1y = -2 y = -2/1 y = -2 Substitute y 7x + 4(-2) = 4/3 7x = 28/3 x = 28/3/7 x = 4/3
Solve the equation x^3 - 49/4x^2 + 329/8x - 165/4 = 0
x^3 - 49/4x^2 + 329/8x - 165/4 = 0 (x - 11/4)(x - 2)(x - 15/2) = 0 x - 11/4 = 0 x - 2 = 0 x - 15/2 = 0 x = 11/4 x = 2 x = 15/2
Find x and y such that 3x + 9y = -933/56 10x + 9y = -1493/56
3x + 9y = -933/56 10x + 9y = -1493/56 Using elimination 10*(3x + 9y = -933/56) 3*(10x + 9y = -1493/56) 30x + 90y = -4665/28 30x + 27y = -4479/56 Subtract equations 63y = -693/8 y = -693/8/63 y = -11/8 Substitute y 3x + 9(-11/8) = -933/56 3x = -30/7 x = -30/7/3 x = -10/7
Solve x^2 - 5x - 6 = 0
x^2 - 5x - 6 = 0 (x - -1)(x - 6) = 0 x - -1 = 0 or x - 6 = 0 x = -1 x = 6
Solve quickly: x^2 + 25/3x + 38/3 = 0
x^2 + 25/3x + 38/3 = 0 (x - -2)(x - -19/3) = 0 x - -2 = 0 or x - -19/3 = 0 x = -2 x = -19/3
Solve x^3 + 454/45x^2 - 169/45x - 418/9 = 0
x^3 + 454/45x^2 - 169/45x - 418/9 = 0 (x - -11/5)(x - 19/9)(x - -10) = 0 x - -11/5 = 0 x - 19/9 = 0 x - -10 = 0 x = -11/5 x = 19/9 x = -10
Find x in x^2 + 23/6x - 2/3 = 0
x^2 + 23/6x - 2/3 = 0 (x - 1/6)(x - -4) = 0 x - 1/6 = 0 or x - -4 = 0 x = 1/6 x = -4
What value of x satisfies x^3 - 11/18x^2 - 13/9x + 1/6 = 0
x^3 - 11/18x^2 - 13/9x + 1/6 = 0 (x - 3/2)(x - -1)(x - 1/9) = 0 x - 3/2 = 0 x - -1 = 0 x - 1/9 = 0 x = 3/2 x = -1 x = 1/9
Solve the system: 9x + 3y = 67/5 8x + 3y = 64/5
9x + 3y = 67/5 8x + 3y = 64/5 Using elimination 8*(9x + 3y = 67/5) 9*(8x + 3y = 64/5) 72x + 24y = 536/5 72x + 27y = 576/5 Subtract equations -3y = -8 y = -8/-3 y = 8/3 Substitute y 9x + 3(8/3) = 67/5 9x = 27/5 x = 27/5/9 x = 3/5
What value of x satisfies 8x - 40 = 0
8x - 40 = 0 8x = 40 x = 40 / 8 x = 5
Find the solution to x^2 + 2x + 3/4 = 0
x^2 + 2x + 3/4 = 0 (x - -3/2)(x - -1/2) = 0 x - -3/2 = 0 or x - -1/2 = 0 x = -3/2 x = -1/2
Find the solution to 10x + 26 = 0
10x + 26 = 0 10x = -26 x = -26 / 10 x = -13/5
Find x in x^3 + 941/56x^2 - 177/8x - 297/28 = 0
x^3 + 941/56x^2 - 177/8x - 297/28 = 0 (x - -18)(x - -3/8)(x - 11/7) = 0 x - -18 = 0 x - -3/8 = 0 x - 11/7 = 0 x = -18 x = -3/8 x = 11/7
Find the solution to x^2 - 22/5x + 17/5 = 0
x^2 - 22/5x + 17/5 = 0 (x - 17/5)(x - 1) = 0 x - 17/5 = 0 or x - 1 = 0 x = 17/5 x = 1
What value of x satisfies x^3 - 9/35x^2 - 34/7x - 24/35 = 0
x^3 - 9/35x^2 - 34/7x - 24/35 = 0 (x - -2)(x - -1/7)(x - 12/5) = 0 x - -2 = 0 x - -1/7 = 0 x - 12/5 = 0 x = -2 x = -1/7 x = 12/5
Solve the equations: 9x + 7y = 729/70 8x + 2y = 457/35
9x + 7y = 729/70 8x + 2y = 457/35 Using elimination 8*(9x + 7y = 729/70) 9*(8x + 2y = 457/35) 72x + 56y = 2916/35 72x + 18y = 4113/35 Subtract equations 38y = -171/5 y = -171/5/38 y = -9/10 Substitute y 9x + 7(-9/10) = 729/70 9x = 117/7 x = 117/7/9 x = 13/7
Solve the equation x^3 + 138/35x^2 + 113/25x + 264/175 = 0
x^3 + 138/35x^2 + 113/25x + 264/175 = 0 (x - -11/5)(x - -8/7)(x - -3/5) = 0 x - -11/5 = 0 x - -8/7 = 0 x - -3/5 = 0 x = -11/5 x = -8/7 x = -3/5
Find x and y such that 6x + 6y = 300/7 7x + 9y = 60
6x + 6y = 300/7 7x + 9y = 60 Using elimination 7*(6x + 6y = 300/7) 6*(7x + 9y = 60) 42x + 42y = 300 42x + 54y = 360 Subtract equations -12y = -60 y = -60/-12 y = 5 Substitute y 6x + 6(5) = 300/7 6x = 90/7 x = 90/7/6 x = 15/7
Solve the equations: 8x + 2y = -10/21 6x + 10y = 766/21
8x + 2y = -10/21 6x + 10y = 766/21 Using elimination 6*(8x + 2y = -10/21) 8*(6x + 10y = 766/21) 48x + 12y = -20/7 48x + 80y = 6128/21 Subtract equations -68y = -884/3 y = -884/3/-68 y = 13/3 Substitute y 8x + 2(13/3) = -10/21 8x = -64/7 x = -64/7/8 x = -8/7
Find x in x^3 - 58/21x^2 - 19/21x + 4/7 = 0
x^3 - 58/21x^2 - 19/21x + 4/7 = 0 (x - 1/3)(x - -4/7)(x - 3) = 0 x - 1/3 = 0 x - -4/7 = 0 x - 3 = 0 x = 1/3 x = -4/7 x = 3
Find x for x^2 - 37/10x + 21/10 = 0
x^2 - 37/10x + 21/10 = 0 (x - 7/10)(x - 3) = 0 x - 7/10 = 0 or x - 3 = 0 x = 7/10 x = 3
Solve the equations: 10x + 2y = -826/9 1x + 10y = -161/9
10x + 2y = -826/9 1x + 10y = -161/9 Using elimination 1*(10x + 2y = -826/9) 10*(1x + 10y = -161/9) 10x + 2y = -826/9 10x + 100y = -1610/9 Subtract equations -98y = 784/9 y = 784/9/-98 y = -8/9 Substitute y 10x + 2(-8/9) = -826/9 10x = -90 x = -90/10 x = -9
Solve the equations: 4x + 10y = 472/9 3x + 5y = 73/3
4x + 10y = 472/9 3x + 5y = 73/3 Using elimination 3*(4x + 10y = 472/9) 4*(3x + 5y = 73/3) 12x + 30y = 472/3 12x + 20y = 292/3 Subtract equations 10y = 60 y = 60/10 y = 6 Substitute y 4x + 10(6) = 472/9 4x = -68/9 x = -68/9/4 x = -17/9
Find x in x^2 + 6/7x - 13/7 = 0
x^2 + 6/7x - 13/7 = 0 (x - -13/7)(x - 1) = 0 x - -13/7 = 0 or x - 1 = 0 x = -13/7 x = 1
Solve quickly: x^2 - 13/8x + 21/32 = 0
x^2 - 13/8x + 21/32 = 0 (x - 7/8)(x - 3/4) = 0 x - 7/8 = 0 or x - 3/4 = 0 x = 7/8 x = 3/4
Compute the solution of x^2 + 93/20x + 17/10 = 0
x^2 + 93/20x + 17/10 = 0 (x - -17/4)(x - -2/5) = 0 x - -17/4 = 0 or x - -2/5 = 0 x = -17/4 x = -2/5
Determine x in 8x + 64/5 = 0
8x + 64/5 = 0 8x = -64/5 x = -64/5 / 8 x = -8/5
Solve simultaneously: 1x + 5y = 155/12 1x + 7y = 211/12
1x + 5y = 155/12 1x + 7y = 211/12 Using elimination 1*(1x + 5y = 155/12) 1*(1x + 7y = 211/12) 1x + 5y = 155/12 1x + 7y = 211/12 Subtract equations -2y = -14/3 y = -14/3/-2 y = 7/3 Substitute y 1x + 5(7/3) = 155/12 1x = 5/4 x = 5/4/1 x = 5/4
Find x for 10x - 70/3 = 0
10x - 70/3 = 0 10x = 70/3 x = 70/3 / 10 x = 7/3
Find the solution to 7x - 112/3 = 0
7x - 112/3 = 0 7x = 112/3 x = 112/3 / 7 x = 16/3
Find the solution to x^2 - 1/2x - 5 = 0
x^2 - 1/2x - 5 = 0 (x - -2)(x - 5/2) = 0 x - -2 = 0 or x - 5/2 = 0 x = -2 x = 5/2
Solve the equation 4x - 4 = 0
4x - 4 = 0 4x = 4 x = 4 / 4 x = 1
Solve quickly: 5x - 65 = 0
5x - 65 = 0 5x = 65 x = 65 / 5 x = 13
Find x in x^3 - 11/6x^2 + 61/162x + 5/27 = 0
x^3 - 11/6x^2 + 61/162x + 5/27 = 0 (x - 3/2)(x - -2/9)(x - 5/9) = 0 x - 3/2 = 0 x - -2/9 = 0 x - 5/9 = 0 x = 3/2 x = -2/9 x = 5/9
Solve x^2 + 1/2x - 18 = 0
x^2 + 1/2x - 18 = 0 (x - -9/2)(x - 4) = 0 x - -9/2 = 0 or x - 4 = 0 x = -9/2 x = 4
Find the solution to 2x + 7/5 = 0
2x + 7/5 = 0 2x = -7/5 x = -7/5 / 2 x = -7/10
Solve x^2 - 27/4x + 81/8 = 0
x^2 - 27/4x + 81/8 = 0 (x - 9/2)(x - 9/4) = 0 x - 9/2 = 0 or x - 9/4 = 0 x = 9/2 x = 9/4
Solve the equation 9x - 12 = 0
9x - 12 = 0 9x = 12 x = 12 / 9 x = 4/3
Solve the equation 7x - 14 = 0
7x - 14 = 0 7x = 14 x = 14 / 7 x = 2
What value of x satisfies x^2 - 2/3x + 5/81 = 0
x^2 - 2/3x + 5/81 = 0 (x - 1/9)(x - 5/9) = 0 x - 1/9 = 0 or x - 5/9 = 0 x = 1/9 x = 5/9
Find x in x^3 - 97/40x^2 + 191/160x + 11/32 = 0
x^3 - 97/40x^2 + 191/160x + 11/32 = 0 (x - 11/8)(x - 5/4)(x - -1/5) = 0 x - 11/8 = 0 x - 5/4 = 0 x - -1/5 = 0 x = 11/8 x = 5/4 x = -1/5
Solve simultaneously: 5x + 8y = 53/5 1x + 10y = -13
5x + 8y = 53/5 1x + 10y = -13 Using elimination 1*(5x + 8y = 53/5) 5*(1x + 10y = -13) 5x + 8y = 53/5 5x + 50y = -65 Subtract equations -42y = 378/5 y = 378/5/-42 y = -9/5 Substitute y 5x + 8(-9/5) = 53/5 5x = 25 x = 25/5 x = 5
Solve the equations: 9x + 3y = 33/2 5x + 4y = 129/10
9x + 3y = 33/2 5x + 4y = 129/10 Using elimination 5*(9x + 3y = 33/2) 9*(5x + 4y = 129/10) 45x + 15y = 165/2 45x + 36y = 1161/10 Subtract equations -21y = -168/5 y = -168/5/-21 y = 8/5 Substitute y 9x + 3(8/5) = 33/2 9x = 117/10 x = 117/10/9 x = 13/10
Determine x in x^3 - 16x^2 - 76x - 80 = 0
x^3 - 16x^2 - 76x - 80 = 0 (x - -2)(x - -2)(x - 20) = 0 x - -2 = 0 x - -2 = 0 x - 20 = 0 x = -2 x = -2 x = 20
Solve the system: 4x + 4y = 8 1x + 5y = 22/3
4x + 4y = 8 1x + 5y = 22/3 Using elimination 1*(4x + 4y = 8) 4*(1x + 5y = 22/3) 4x + 4y = 8 4x + 20y = 88/3 Subtract equations -16y = -64/3 y = -64/3/-16 y = 4/3 Substitute y 4x + 4(4/3) = 8 4x = 8/3 x = 8/3/4 x = 2/3
Solve simultaneously: 4x + 5y = 61/5 2x + 3y = 33/5
4x + 5y = 61/5 2x + 3y = 33/5 Using elimination 2*(4x + 5y = 61/5) 4*(2x + 3y = 33/5) 8x + 10y = 122/5 8x + 12y = 132/5 Subtract equations -2y = -2 y = -2/-2 y = 1 Substitute y 4x + 5(1) = 61/5 4x = 36/5 x = 36/5/4 x = 9/5
Find x in x^3 + 152/63x^2 - 281/189x - 884/189 = 0
x^3 + 152/63x^2 - 281/189x - 884/189 = 0 (x - -13/7)(x - -17/9)(x - 4/3) = 0 x - -13/7 = 0 x - -17/9 = 0 x - 4/3 = 0 x = -13/7 x = -17/9 x = 4/3
Solve the equation x^2 - 19/8x = 0
x^2 - 19/8x = 0 (x - 19/8)(x - 0) = 0 x - 19/8 = 0 or x - 0 = 0 x = 19/8 x = 0
Find x in x^2 - 13/18x - 10/3 = 0
x^2 - 13/18x - 10/3 = 0 (x - -3/2)(x - 20/9) = 0 x - -3/2 = 0 or x - 20/9 = 0 x = -3/2 x = 20/9
Solve x^3 - 1/15x^2 - 16/3x - 64/15 = 0
x^3 - 1/15x^2 - 16/3x - 64/15 = 0 (x - -8/5)(x - 8/3)(x - -1) = 0 x - -8/5 = 0 x - 8/3 = 0 x - -1 = 0 x = -8/5 x = 8/3 x = -1