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Find x and y such that 6x + 8y = -224/5 4x + 7y = -171/5
6x + 8y = -224/5 4x + 7y = -171/5 Using elimination 4*(6x + 8y = -224/5) 6*(4x + 7y = -171/5) 24x + 32y = -896/5 24x + 42y = -1026/5 Subtract equations -10y = 26 y = 26/-10 y = -13/5 Substitute y 6x + 8(-13/5) = -224/5 6x = -24 x = -24/6 x = -4
Compute the solution of x^3 - 139/42x^2 - 1811/42x - 510/7 = 0
x^3 - 139/42x^2 - 1811/42x - 510/7 = 0 (x - 9)(x - -17/6)(x - -20/7) = 0 x - 9 = 0 x - -17/6 = 0 x - -20/7 = 0 x = 9 x = -17/6 x = -20/7
Determine x in x^2 - 128/7x + 36/7 = 0
x^2 - 128/7x + 36/7 = 0 (x - 2/7)(x - 18) = 0 x - 2/7 = 0 or x - 18 = 0 x = 2/7 x = 18
Find x and y such that 7x + 4y = 148/5 4x + 1y = 46/5
7x + 4y = 148/5 4x + 1y = 46/5 Using elimination 4*(7x + 4y = 148/5) 7*(4x + 1y = 46/5) 28x + 16y = 592/5 28x + 7y = 322/5 Subtract equations 9y = 54 y = 54/9 y = 6 Substitute y 7x + 4(6) = 148/5 7x = 28/5 x = 28/5/7 x = 4/5
Solve simultaneously: 8x + 8y = -52/3 2x + 3y = -4
8x + 8y = -52/3 2x + 3y = -4 Using elimination 2*(8x + 8y = -52/3) 8*(2x + 3y = -4) 16x + 16y = -104/3 16x + 24y = -32 Subtract equations -8y = -8/3 y = -8/3/-8 y = 1/3 Substitute y 8x + 8(1/3) = -52/3 8x = -20 x = -20/8 x = -5/2
Find the solution to 9x + 54 = 0
9x + 54 = 0 9x = -54 x = -54 / 9 x = -6
Determine x in 3x + 9/5 = 0
3x + 9/5 = 0 3x = -9/5 x = -9/5 / 3 x = -3/5
Solve the equations: 2x + 9y = 49/2 5x + 5y = 35/4
2x + 9y = 49/2 5x + 5y = 35/4 Using elimination 5*(2x + 9y = 49/2) 2*(5x + 5y = 35/4) 10x + 45y = 245/2 10x + 10y = 35/2 Subtract equations 35y = 105 y = 105/35 y = 3 Substitute y 2x + 9(3) = 49/2 2x = -5/2 x = -5/2/2 x = -5/4
Solve quickly: 7x + 49/2 = 0
7x + 49/2 = 0 7x = -49/2 x = -49/2 / 7 x = -7/2
Find the solution to x^2 - 109/36x + 20/9 = 0
x^2 - 109/36x + 20/9 = 0 (x - 5/4)(x - 16/9) = 0 x - 5/4 = 0 or x - 16/9 = 0 x = 5/4 x = 16/9
Find x for 9x - 90/7 = 0
9x - 90/7 = 0 9x = 90/7 x = 90/7 / 9 x = 10/7
Solve the system: 3x + 3y = -621/35 8x + 10y = -1846/35
3x + 3y = -621/35 8x + 10y = -1846/35 Using elimination 8*(3x + 3y = -621/35) 3*(8x + 10y = -1846/35) 24x + 24y = -4968/35 24x + 30y = -5538/35 Subtract equations -6y = 114/7 y = 114/7/-6 y = -19/7 Substitute y 3x + 3(-19/7) = -621/35 3x = -48/5 x = -48/5/3 x = -16/5
Find x and y such that 4x + 6y = 0 5x + 9y = 3/7
4x + 6y = 0 5x + 9y = 3/7 Using elimination 5*(4x + 6y = 0) 4*(5x + 9y = 3/7) 20x + 30y = 0 20x + 36y = 12/7 Subtract equations -6y = -12/7 y = -12/7/-6 y = 2/7 Substitute y 4x + 6(2/7) = 0 4x = -12/7 x = -12/7/4 x = -3/7
Find the solution to x^3 - 144/35x^2 + 629/175x + 156/175 = 0
x^3 - 144/35x^2 + 629/175x + 156/175 = 0 (x - 13/5)(x - 12/7)(x - -1/5) = 0 x - 13/5 = 0 x - 12/7 = 0 x - -1/5 = 0 x = 13/5 x = 12/7 x = -1/5
Solve simultaneously: 8x + 6y = -28 3x + 9y = -87/4
8x + 6y = -28 3x + 9y = -87/4 Using elimination 3*(8x + 6y = -28) 8*(3x + 9y = -87/4) 24x + 18y = -84 24x + 72y = -174 Subtract equations -54y = 90 y = 90/-54 y = -5/3 Substitute y 8x + 6(-5/3) = -28 8x = -18 x = -18/8 x = -9/4
Find x and y such that 2x + 5y = 118/3 5x + 4y = 125/3
2x + 5y = 118/3 5x + 4y = 125/3 Using elimination 5*(2x + 5y = 118/3) 2*(5x + 4y = 125/3) 10x + 25y = 590/3 10x + 8y = 250/3 Subtract equations 17y = 340/3 y = 340/3/17 y = 20/3 Substitute y 2x + 5(20/3) = 118/3 2x = 6 x = 6/2 x = 3
Find x for x^3 + 124/7x^2 + 73/7x - 204/7 = 0
x^3 + 124/7x^2 + 73/7x - 204/7 = 0 (x - -17)(x - 1)(x - -12/7) = 0 x - -17 = 0 x - 1 = 0 x - -12/7 = 0 x = -17 x = 1 x = -12/7
Determine x in x^2 - 31/6x - 133/18 = 0
x^2 - 31/6x - 133/18 = 0 (x - 19/3)(x - -7/6) = 0 x - 19/3 = 0 or x - -7/6 = 0 x = 19/3 x = -7/6
Solve 6x - 20 = 0
6x - 20 = 0 6x = 20 x = 20 / 6 x = 10/3
Determine x in x^3 - 12/5x^2 + 3/4x + 1/10 = 0
x^3 - 12/5x^2 + 3/4x + 1/10 = 0 (x - 1/2)(x - 2)(x - -1/10) = 0 x - 1/2 = 0 x - 2 = 0 x - -1/10 = 0 x = 1/2 x = 2 x = -1/10
Determine x in x^2 + 7/4x - 15/2 = 0
x^2 + 7/4x - 15/2 = 0 (x - -15/4)(x - 2) = 0 x - -15/4 = 0 or x - 2 = 0 x = -15/4 x = 2
Solve the equations: 4x + 2y = -344/21 5x + 6y = -274/7
4x + 2y = -344/21 5x + 6y = -274/7 Using elimination 5*(4x + 2y = -344/21) 4*(5x + 6y = -274/7) 20x + 10y = -1720/21 20x + 24y = -1096/7 Subtract equations -14y = 224/3 y = 224/3/-14 y = -16/3 Substitute y 4x + 2(-16/3) = -344/21 4x = -40/7 x = -40/7/4 x = -10/7
What value of x satisfies 7x + 35/4 = 0
7x + 35/4 = 0 7x = -35/4 x = -35/4 / 7 x = -5/4
Compute the solution of x^3 - 217/40x^2 - 1239/40x - 54/5 = 0
x^3 - 217/40x^2 - 1239/40x - 54/5 = 0 (x - -3/8)(x - 9)(x - -16/5) = 0 x - -3/8 = 0 x - 9 = 0 x - -16/5 = 0 x = -3/8 x = 9 x = -16/5
Find x for x^2 - 14/3x - 32/9 = 0
x^2 - 14/3x - 32/9 = 0 (x - 16/3)(x - -2/3) = 0 x - 16/3 = 0 or x - -2/3 = 0 x = 16/3 x = -2/3
Find x for 3x - 3/2 = 0
3x - 3/2 = 0 3x = 3/2 x = 3/2 / 3 x = 1/2
Find the solution to x^3 - 64/3x^2 + 73/3x + 140/3 = 0
x^3 - 64/3x^2 + 73/3x + 140/3 = 0 (x - 20)(x - 7/3)(x - -1) = 0 x - 20 = 0 x - 7/3 = 0 x - -1 = 0 x = 20 x = 7/3 x = -1
Solve the equation x^3 - 349/40x^2 - 243/80x + 81/16 = 0
x^3 - 349/40x^2 - 243/80x + 81/16 = 0 (x - 9)(x - -9/10)(x - 5/8) = 0 x - 9 = 0 x - -9/10 = 0 x - 5/8 = 0 x = 9 x = -9/10 x = 5/8
Solve simultaneously: 9x + 7y = -173/4 1x + 4y = -45/4
9x + 7y = -173/4 1x + 4y = -45/4 Using elimination 1*(9x + 7y = -173/4) 9*(1x + 4y = -45/4) 9x + 7y = -173/4 9x + 36y = -405/4 Subtract equations -29y = 58 y = 58/-29 y = -2 Substitute y 9x + 7(-2) = -173/4 9x = -117/4 x = -117/4/9 x = -13/4
What value of x satisfies 4x + 13/2 = 0
4x + 13/2 = 0 4x = -13/2 x = -13/2 / 4 x = -13/8
Solve the system: 8x + 3y = 150 7x + 6y = 129
8x + 3y = 150 7x + 6y = 129 Using elimination 7*(8x + 3y = 150) 8*(7x + 6y = 129) 56x + 21y = 1050 56x + 48y = 1032 Subtract equations -27y = 18 y = 18/-27 y = -2/3 Substitute y 8x + 3(-2/3) = 150 8x = 152 x = 152/8 x = 19
Find x for x^2 + 129/35x + 34/35 = 0
x^2 + 129/35x + 34/35 = 0 (x - -2/7)(x - -17/5) = 0 x - -2/7 = 0 or x - -17/5 = 0 x = -2/7 x = -17/5
Solve the equations: 3x + 2y = -109/18 3x + 1y = -77/18
3x + 2y = -109/18 3x + 1y = -77/18 Using elimination 3*(3x + 2y = -109/18) 3*(3x + 1y = -77/18) 9x + 6y = -109/6 9x + 3y = -77/6 Subtract equations 3y = -16/3 y = -16/3/3 y = -16/9 Substitute y 3x + 2(-16/9) = -109/18 3x = -5/2 x = -5/2/3 x = -5/6
Solve the equations: 8x + 8y = -108/5 10x + 6y = -23
8x + 8y = -108/5 10x + 6y = -23 Using elimination 10*(8x + 8y = -108/5) 8*(10x + 6y = -23) 80x + 80y = -216 80x + 48y = -184 Subtract equations 32y = -32 y = -32/32 y = -1 Substitute y 8x + 8(-1) = -108/5 8x = -68/5 x = -68/5/8 x = -17/10
Solve the equations: 9x + 5y = -53 1x + 10y = -59/2
9x + 5y = -53 1x + 10y = -59/2 Using elimination 1*(9x + 5y = -53) 9*(1x + 10y = -59/2) 9x + 5y = -53 9x + 90y = -531/2 Subtract equations -85y = 425/2 y = 425/2/-85 y = -5/2 Substitute y 9x + 5(-5/2) = -53 9x = -81/2 x = -81/2/9 x = -9/2
Solve the equation x^2 + 19/18x - 65/18 = 0
x^2 + 19/18x - 65/18 = 0 (x - 13/9)(x - -5/2) = 0 x - 13/9 = 0 or x - -5/2 = 0 x = 13/9 x = -5/2
Solve the equations: 6x + 5y = 125/8 10x + 5y = 205/8
6x + 5y = 125/8 10x + 5y = 205/8 Using elimination 10*(6x + 5y = 125/8) 6*(10x + 5y = 205/8) 60x + 50y = 625/4 60x + 30y = 615/4 Subtract equations 20y = 5/2 y = 5/2/20 y = 1/8 Substitute y 6x + 5(1/8) = 125/8 6x = 15 x = 15/6 x = 5/2
Compute the solution of x^2 + 112/9x + 16/3 = 0
x^2 + 112/9x + 16/3 = 0 (x - -4/9)(x - -12) = 0 x - -4/9 = 0 or x - -12 = 0 x = -4/9 x = -12
Compute the solution of x^3 + 2x^2 - 1x - 2 = 0
x^3 + 2x^2 - 1x - 2 = 0 (x - 1)(x - -1)(x - -2) = 0 x - 1 = 0 x - -1 = 0 x - -2 = 0 x = 1 x = -1 x = -2
Find x in 1x - 5/3 = 0
1x - 5/3 = 0 1x = 5/3 x = 5/3 / 1 x = 5/3
Determine x in x^2 - 59/42x + 10/21 = 0
x^2 - 59/42x + 10/21 = 0 (x - 5/6)(x - 4/7) = 0 x - 5/6 = 0 or x - 4/7 = 0 x = 5/6 x = 4/7
Determine x in x^2 + 17/14x + 5/14 = 0
x^2 + 17/14x + 5/14 = 0 (x - -1/2)(x - -5/7) = 0 x - -1/2 = 0 or x - -5/7 = 0 x = -1/2 x = -5/7
Determine x in 6x + 27/5 = 0
6x + 27/5 = 0 6x = -27/5 x = -27/5 / 6 x = -9/10
What value of x satisfies 10x - 5 = 0
10x - 5 = 0 10x = 5 x = 5 / 10 x = 1/2
Find x in 9x - 30 = 0
9x - 30 = 0 9x = 30 x = 30 / 9 x = 10/3
Find x in x^2 - 23/10x + 6/5 = 0
x^2 - 23/10x + 6/5 = 0 (x - 4/5)(x - 3/2) = 0 x - 4/5 = 0 or x - 3/2 = 0 x = 4/5 x = 3/2
Find x and y such that 5x + 5y = -40/3 3x + 2y = -12
5x + 5y = -40/3 3x + 2y = -12 Using elimination 3*(5x + 5y = -40/3) 5*(3x + 2y = -12) 15x + 15y = -40 15x + 10y = -60 Subtract equations 5y = 20 y = 20/5 y = 4 Substitute y 5x + 5(4) = -40/3 5x = -100/3 x = -100/3/5 x = -20/3
Determine x in 5x - 6 = 0
5x - 6 = 0 5x = 6 x = 6 / 5 x = 6/5
Determine x in x^2 + 20x + 36 = 0
x^2 + 20x + 36 = 0 (x - -2)(x - -18) = 0 x - -2 = 0 or x - -18 = 0 x = -2 x = -18
Determine x in x^2 + 2x = 0
x^2 + 2x = 0 (x - -2)(x - 0) = 0 x - -2 = 0 or x - 0 = 0 x = -2 x = 0
Solve simultaneously: 4x + 5y = -95/18 3x + 1y = -175/72
4x + 5y = -95/18 3x + 1y = -175/72 Using elimination 3*(4x + 5y = -95/18) 4*(3x + 1y = -175/72) 12x + 15y = -95/6 12x + 4y = -175/18 Subtract equations 11y = -55/9 y = -55/9/11 y = -5/9 Substitute y 4x + 5(-5/9) = -95/18 4x = -5/2 x = -5/2/4 x = -5/8
What value of x satisfies 1x - 1/5 = 0
1x - 1/5 = 0 1x = 1/5 x = 1/5 / 1 x = 1/5
What value of x satisfies 7x - 12 = 0
7x - 12 = 0 7x = 12 x = 12 / 7 x = 12/7
Solve x^3 + 16/3x^2 - 251x + 494/3 = 0
x^3 + 16/3x^2 - 251x + 494/3 = 0 (x - 2/3)(x - -19)(x - 13) = 0 x - 2/3 = 0 x - -19 = 0 x - 13 = 0 x = 2/3 x = -19 x = 13
Solve the system: 8x + 5y = -231/2 9x + 1y = -283/2
8x + 5y = -231/2 9x + 1y = -283/2 Using elimination 9*(8x + 5y = -231/2) 8*(9x + 1y = -283/2) 72x + 45y = -2079/2 72x + 8y = -1132 Subtract equations 37y = 185/2 y = 185/2/37 y = 5/2 Substitute y 8x + 5(5/2) = -231/2 8x = -128 x = -128/8 x = -16
Find the solution to x^3 + 59/14x^2 + 342/175x - 162/175 = 0
x^3 + 59/14x^2 + 342/175x - 162/175 = 0 (x - -18/5)(x - 2/7)(x - -9/10) = 0 x - -18/5 = 0 x - 2/7 = 0 x - -9/10 = 0 x = -18/5 x = 2/7 x = -9/10
Find x for x^3 - 23/10x^2 + 1/5x + 4/5 = 0
x^3 - 23/10x^2 + 1/5x + 4/5 = 0 (x - -1/2)(x - 2)(x - 4/5) = 0 x - -1/2 = 0 x - 2 = 0 x - 4/5 = 0 x = -1/2 x = 2 x = 4/5
What value of x satisfies x^3 - 33/14x^2 - 151/7x + 585/14 = 0
x^3 - 33/14x^2 - 151/7x + 585/14 = 0 (x - 5)(x - -9/2)(x - 13/7) = 0 x - 5 = 0 x - -9/2 = 0 x - 13/7 = 0 x = 5 x = -9/2 x = 13/7
Compute the solution of 5x - 5 = 0
5x - 5 = 0 5x = 5 x = 5 / 5 x = 1
Determine x in x^2 + 2x - 3 = 0
x^2 + 2x - 3 = 0 (x - 1)(x - -3) = 0 x - 1 = 0 or x - -3 = 0 x = 1 x = -3
What value of x satisfies x^3 + 4/7x^2 - 36/7x = 0
x^3 + 4/7x^2 - 36/7x = 0 (x - 0)(x - 2)(x - -18/7) = 0 x - 0 = 0 x - 2 = 0 x - -18/7 = 0 x = 0 x = 2 x = -18/7
Find the solution to 8x - 12/5 = 0
8x - 12/5 = 0 8x = 12/5 x = 12/5 / 8 x = 3/10
What value of x satisfies x^3 + 17/18x^2 - 178/27x + 38/27 = 0
x^3 + 17/18x^2 - 178/27x + 38/27 = 0 (x - 2/9)(x - 2)(x - -19/6) = 0 x - 2/9 = 0 x - 2 = 0 x - -19/6 = 0 x = 2/9 x = 2 x = -19/6
Solve the system: 10x + 7y = 26 8x + 10y = 216/7
10x + 7y = 26 8x + 10y = 216/7 Using elimination 8*(10x + 7y = 26) 10*(8x + 10y = 216/7) 80x + 56y = 208 80x + 100y = 2160/7 Subtract equations -44y = -704/7 y = -704/7/-44 y = 16/7 Substitute y 10x + 7(16/7) = 26 10x = 10 x = 10/10 x = 1
Solve the system: 1x + 2y = -63/8 3x + 9y = -291/8
1x + 2y = -63/8 3x + 9y = -291/8 Using elimination 3*(1x + 2y = -63/8) 1*(3x + 9y = -291/8) 3x + 6y = -189/8 3x + 9y = -291/8 Subtract equations -3y = 51/4 y = 51/4/-3 y = -17/4 Substitute y 1x + 2(-17/4) = -63/8 1x = 5/8 x = 5/8/1 x = 5/8
Solve the equations: 2x + 1y = -23/12 8x + 2y = -1/3
2x + 1y = -23/12 8x + 2y = -1/3 Using elimination 8*(2x + 1y = -23/12) 2*(8x + 2y = -1/3) 16x + 8y = -46/3 16x + 4y = -2/3 Subtract equations 4y = -44/3 y = -44/3/4 y = -11/3 Substitute y 2x + 1(-11/3) = -23/12 2x = 7/4 x = 7/4/2 x = 7/8
Solve the system: 10x + 4y = -343/15 4x + 8y = 74/15
10x + 4y = -343/15 4x + 8y = 74/15 Using elimination 4*(10x + 4y = -343/15) 10*(4x + 8y = 74/15) 40x + 16y = -1372/15 40x + 80y = 148/3 Subtract equations -64y = -704/5 y = -704/5/-64 y = 11/5 Substitute y 10x + 4(11/5) = -343/15 10x = -95/3 x = -95/3/10 x = -19/6
Solve x^3 + 11/4x^2 - 123/2x - 189/4 = 0
x^3 + 11/4x^2 - 123/2x - 189/4 = 0 (x - -9)(x - 7)(x - -3/4) = 0 x - -9 = 0 x - 7 = 0 x - -3/4 = 0 x = -9 x = 7 x = -3/4
Solve x^2 + 80/9x - 1 = 0
x^2 + 80/9x - 1 = 0 (x - -9)(x - 1/9) = 0 x - -9 = 0 or x - 1/9 = 0 x = -9 x = 1/9
Find the solution to x^2 + 16/9x - 4/9 = 0
x^2 + 16/9x - 4/9 = 0 (x - 2/9)(x - -2) = 0 x - 2/9 = 0 or x - -2 = 0 x = 2/9 x = -2
Solve quickly: 9x + 9 = 0
9x + 9 = 0 9x = -9 x = -9 / 9 x = -1
Solve the equation 1x - 11/5 = 0
1x - 11/5 = 0 1x = 11/5 x = 11/5 / 1 x = 11/5
Solve the equation x^2 + 1/24x - 11/6 = 0
x^2 + 1/24x - 11/6 = 0 (x - 4/3)(x - -11/8) = 0 x - 4/3 = 0 or x - -11/8 = 0 x = 4/3 x = -11/8
Solve the equations: 4x + 5y = -53/12 10x + 9y = -185/12
4x + 5y = -53/12 10x + 9y = -185/12 Using elimination 10*(4x + 5y = -53/12) 4*(10x + 9y = -185/12) 40x + 50y = -265/6 40x + 36y = -185/3 Subtract equations 14y = 35/2 y = 35/2/14 y = 5/4 Substitute y 4x + 5(5/4) = -53/12 4x = -32/3 x = -32/3/4 x = -8/3
Find x in x^3 + 189/10x^2 + 321/10x - 17/5 = 0
x^3 + 189/10x^2 + 321/10x - 17/5 = 0 (x - -2)(x - -17)(x - 1/10) = 0 x - -2 = 0 x - -17 = 0 x - 1/10 = 0 x = -2 x = -17 x = 1/10
Solve 4x + 24/5 = 0
4x + 24/5 = 0 4x = -24/5 x = -24/5 / 4 x = -6/5
Solve the equations: 9x + 5y = -265/6 10x + 5y = -305/6
9x + 5y = -265/6 10x + 5y = -305/6 Using elimination 10*(9x + 5y = -265/6) 9*(10x + 5y = -305/6) 90x + 50y = -1325/3 90x + 45y = -915/2 Subtract equations 5y = 95/6 y = 95/6/5 y = 19/6 Substitute y 9x + 5(19/6) = -265/6 9x = -60 x = -60/9 x = -20/3
Solve the system: 9x + 4y = 353/8 8x + 5y = 58
9x + 4y = 353/8 8x + 5y = 58 Using elimination 8*(9x + 4y = 353/8) 9*(8x + 5y = 58) 72x + 32y = 353 72x + 45y = 522 Subtract equations -13y = -169 y = -169/-13 y = 13 Substitute y 9x + 4(13) = 353/8 9x = -63/8 x = -63/8/9 x = -7/8
Find x in x^3 - 41/24x^2 + 59/96x - 5/96 = 0
x^3 - 41/24x^2 + 59/96x - 5/96 = 0 (x - 5/4)(x - 1/3)(x - 1/8) = 0 x - 5/4 = 0 x - 1/3 = 0 x - 1/8 = 0 x = 5/4 x = 1/3 x = 1/8
Solve simultaneously: 9x + 1y = -221/4 10x + 5y = -515/12
9x + 1y = -221/4 10x + 5y = -515/12 Using elimination 10*(9x + 1y = -221/4) 9*(10x + 5y = -515/12) 90x + 10y = -1105/2 90x + 45y = -1545/4 Subtract equations -35y = -665/4 y = -665/4/-35 y = 19/4 Substitute y 9x + 1(19/4) = -221/4 9x = -60 x = -60/9 x = -20/3
Solve x^2 - 1/8x - 17/4 = 0
x^2 - 1/8x - 17/4 = 0 (x - 17/8)(x - -2) = 0 x - 17/8 = 0 or x - -2 = 0 x = 17/8 x = -2
What value of x satisfies x^2 + 104/21x + 128/21 = 0
x^2 + 104/21x + 128/21 = 0 (x - -16/7)(x - -8/3) = 0 x - -16/7 = 0 or x - -8/3 = 0 x = -16/7 x = -8/3
Solve the equations: 6x + 1y = 8/7 7x + 8y = -26
6x + 1y = 8/7 7x + 8y = -26 Using elimination 7*(6x + 1y = 8/7) 6*(7x + 8y = -26) 42x + 7y = 8 42x + 48y = -156 Subtract equations -41y = 164 y = 164/-41 y = -4 Substitute y 6x + 1(-4) = 8/7 6x = 36/7 x = 36/7/6 x = 6/7
What value of x satisfies x^3 + 33/10x^2 + 72/25x + 32/125 = 0
x^3 + 33/10x^2 + 72/25x + 32/125 = 0 (x - -8/5)(x - -8/5)(x - -1/10) = 0 x - -8/5 = 0 x - -8/5 = 0 x - -1/10 = 0 x = -8/5 x = -8/5 x = -1/10
Compute the solution of x^2 - 23/6x + 5/3 = 0
x^2 - 23/6x + 5/3 = 0 (x - 10/3)(x - 1/2) = 0 x - 10/3 = 0 or x - 1/2 = 0 x = 10/3 x = 1/2
Solve the system: 8x + 5y = 131/3 7x + 9y = 184/3
8x + 5y = 131/3 7x + 9y = 184/3 Using elimination 7*(8x + 5y = 131/3) 8*(7x + 9y = 184/3) 56x + 35y = 917/3 56x + 72y = 1472/3 Subtract equations -37y = -185 y = -185/-37 y = 5 Substitute y 8x + 5(5) = 131/3 8x = 56/3 x = 56/3/8 x = 7/3
Determine x in 2x + 4 = 0
2x + 4 = 0 2x = -4 x = -4 / 2 x = -2
Solve the equation 4x - 24/7 = 0
4x - 24/7 = 0 4x = 24/7 x = 24/7 / 4 x = 6/7
Solve simultaneously: 4x + 10y = 227/7 6x + 5y = 331/14
4x + 10y = 227/7 6x + 5y = 331/14 Using elimination 6*(4x + 10y = 227/7) 4*(6x + 5y = 331/14) 24x + 60y = 1362/7 24x + 20y = 662/7 Subtract equations 40y = 100 y = 100/40 y = 5/2 Substitute y 4x + 10(5/2) = 227/7 4x = 52/7 x = 52/7/4 x = 13/7
Solve the equation x^3 + 88/21x^2 + 4/7x - 160/21 = 0
x^3 + 88/21x^2 + 4/7x - 160/21 = 0 (x - -2)(x - 8/7)(x - -10/3) = 0 x - -2 = 0 x - 8/7 = 0 x - -10/3 = 0 x = -2 x = 8/7 x = -10/3
Compute the solution of x^2 - 4/3x - 28 = 0
x^2 - 4/3x - 28 = 0 (x - 6)(x - -14/3) = 0 x - 6 = 0 or x - -14/3 = 0 x = 6 x = -14/3
Find the solution to x^2 + 62/21x + 32/21 = 0
x^2 + 62/21x + 32/21 = 0 (x - -2/3)(x - -16/7) = 0 x - -2/3 = 0 or x - -16/7 = 0 x = -2/3 x = -16/7
Compute the solution of 2x + 15 = 0
2x + 15 = 0 2x = -15 x = -15 / 2 x = -15/2
Find x and y such that 8x + 7y = -187/12 1x + 10y = -217/6
8x + 7y = -187/12 1x + 10y = -217/6 Using elimination 1*(8x + 7y = -187/12) 8*(1x + 10y = -217/6) 8x + 7y = -187/12 8x + 80y = -868/3 Subtract equations -73y = 1095/4 y = 1095/4/-73 y = -15/4 Substitute y 8x + 7(-15/4) = -187/12 8x = 32/3 x = 32/3/8 x = 4/3
Find the solution to x^3 - 26/35x^2 - 53/35x + 8/35 = 0
x^3 - 26/35x^2 - 53/35x + 8/35 = 0 (x - -1)(x - 8/5)(x - 1/7) = 0 x - -1 = 0 x - 8/5 = 0 x - 1/7 = 0 x = -1 x = 8/5 x = 1/7
What value of x satisfies 7x + 14 = 0
7x + 14 = 0 7x = -14 x = -14 / 7 x = -2
Solve x^2 - 41/9x - 26/3 = 0
x^2 - 41/9x - 26/3 = 0 (x - -13/9)(x - 6) = 0 x - -13/9 = 0 or x - 6 = 0 x = -13/9 x = 6
Solve quickly: x^3 + 31/6x^2 - 62/3x + 16 = 0
x^3 + 31/6x^2 - 62/3x + 16 = 0 (x - 4/3)(x - -8)(x - 3/2) = 0 x - 4/3 = 0 x - -8 = 0 x - 3/2 = 0 x = 4/3 x = -8 x = 3/2
Solve the system: 7x + 10y = -89 9x + 5y = -194/3
7x + 10y = -89 9x + 5y = -194/3 Using elimination 9*(7x + 10y = -89) 7*(9x + 5y = -194/3) 63x + 90y = -801 63x + 35y = -1358/3 Subtract equations 55y = -1045/3 y = -1045/3/55 y = -19/3 Substitute y 7x + 10(-19/3) = -89 7x = -77/3 x = -77/3/7 x = -11/3
Compute the solution of x^2 - 1/3x - 14/3 = 0
x^2 - 1/3x - 14/3 = 0 (x - 7/3)(x - -2) = 0 x - 7/3 = 0 or x - -2 = 0 x = 7/3 x = -2