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Find x for x^3 - 233/20x^2 - 2163/40x + 459/8 = 0
x^3 - 233/20x^2 - 2163/40x + 459/8 = 0 (x - 15)(x - 9/10)(x - -17/4) = 0 x - 15 = 0 x - 9/10 = 0 x - -17/4 = 0 x = 15 x = 9/10 x = -17/4
Compute the solution of 8x + 19 = 0
8x + 19 = 0 8x = -19 x = -19 / 8 x = -19/8
Find the solution to x^3 - 37/14x^2 - 27/7x + 117/14 = 0
x^3 - 37/14x^2 - 27/7x + 117/14 = 0 (x - 3/2)(x - 3)(x - -13/7) = 0 x - 3/2 = 0 x - 3 = 0 x - -13/7 = 0 x = 3/2 x = 3 x = -13/7
Solve the equation 8x - 112/3 = 0
8x - 112/3 = 0 8x = 112/3 x = 112/3 / 8 x = 14/3
Solve the system: 6x + 10y = -19/4 1x + 5y = -3/8
6x + 10y = -19/4 1x + 5y = -3/8 Using elimination 1*(6x + 10y = -19/4) 6*(1x + 5y = -3/8) 6x + 10y = -19/4 6x + 30y = -9/4 Subtract equations -20y = -5/2 y = -5/2/-20 y = 1/8 Substitute y 6x + 10(1/8) = -19/4 6x = -6 x = -6/6 x = -1
Find x in x^3 + 10/9x^2 - 101/27x + 88/81 = 0
x^3 + 10/9x^2 - 101/27x + 88/81 = 0 (x - 1/3)(x - -8/3)(x - 11/9) = 0 x - 1/3 = 0 x - -8/3 = 0 x - 11/9 = 0 x = 1/3 x = -8/3 x = 11/9
Solve x^2 - 98/9x + 80/9 = 0
x^2 - 98/9x + 80/9 = 0 (x - 10)(x - 8/9) = 0 x - 10 = 0 or x - 8/9 = 0 x = 10 x = 8/9
Solve simultaneously: 6x + 2y = 97 9x + 4y = 149
6x + 2y = 97 9x + 4y = 149 Using elimination 9*(6x + 2y = 97) 6*(9x + 4y = 149) 54x + 18y = 873 54x + 24y = 894 Subtract equations -6y = -21 y = -21/-6 y = 7/2 Substitute y 6x + 2(7/2) = 97 6x = 90 x = 90/6 x = 15
Compute the solution of x^2 - 104/5x + 252/5 = 0
x^2 - 104/5x + 252/5 = 0 (x - 14/5)(x - 18) = 0 x - 14/5 = 0 or x - 18 = 0 x = 14/5 x = 18
Find the solution to x^2 + 45/14x - 81/14 = 0
x^2 + 45/14x - 81/14 = 0 (x - 9/7)(x - -9/2) = 0 x - 9/7 = 0 or x - -9/2 = 0 x = 9/7 x = -9/2
Find x for 4x - 32 = 0
4x - 32 = 0 4x = 32 x = 32 / 4 x = 8
Solve x^2 - 63/40x - 11/8 = 0
x^2 - 63/40x - 11/8 = 0 (x - 11/5)(x - -5/8) = 0 x - 11/5 = 0 or x - -5/8 = 0 x = 11/5 x = -5/8
What value of x satisfies 5x - 35/9 = 0
5x - 35/9 = 0 5x = 35/9 x = 35/9 / 5 x = 7/9
Find x and y such that 6x + 3y = -69/2 9x + 1y = -51/2
6x + 3y = -69/2 9x + 1y = -51/2 Using elimination 9*(6x + 3y = -69/2) 6*(9x + 1y = -51/2) 54x + 27y = -621/2 54x + 6y = -153 Subtract equations 21y = -315/2 y = -315/2/21 y = -15/2 Substitute y 6x + 3(-15/2) = -69/2 6x = -12 x = -12/6 x = -2
Find the solution to x^3 - 143/24x^2 + 31/3x - 35/8 = 0
x^3 - 143/24x^2 + 31/3x - 35/8 = 0 (x - 7/3)(x - 3)(x - 5/8) = 0 x - 7/3 = 0 x - 3 = 0 x - 5/8 = 0 x = 7/3 x = 3 x = 5/8
What value of x satisfies 6x + 32/3 = 0
6x + 32/3 = 0 6x = -32/3 x = -32/3 / 6 x = -16/9
Solve the equations: 7x + 4y = -101/10 7x + 8y = -237/10
7x + 4y = -101/10 7x + 8y = -237/10 Using elimination 7*(7x + 4y = -101/10) 7*(7x + 8y = -237/10) 49x + 28y = -707/10 49x + 56y = -1659/10 Subtract equations -28y = 476/5 y = 476/5/-28 y = -17/5 Substitute y 7x + 4(-17/5) = -101/10 7x = 7/2 x = 7/2/7 x = 1/2
Find x in x^3 - 13/15x^2 - 674/15x - 1456/15 = 0
x^3 - 13/15x^2 - 674/15x - 1456/15 = 0 (x - 8)(x - -14/5)(x - -13/3) = 0 x - 8 = 0 x - -14/5 = 0 x - -13/3 = 0 x = 8 x = -14/5 x = -13/3
Solve simultaneously: 1x + 6y = 187/15 1x + 10y = 71/3
1x + 6y = 187/15 1x + 10y = 71/3 Using elimination 1*(1x + 6y = 187/15) 1*(1x + 10y = 71/3) 1x + 6y = 187/15 1x + 10y = 71/3 Subtract equations -4y = -56/5 y = -56/5/-4 y = 14/5 Substitute y 1x + 6(14/5) = 187/15 1x = -13/3 x = -13/3/1 x = -13/3
Find the solution to x^2 + 18/7x - 85/7 = 0
x^2 + 18/7x - 85/7 = 0 (x - -5)(x - 17/7) = 0 x - -5 = 0 or x - 17/7 = 0 x = -5 x = 17/7
Find x for 5x + 55/2 = 0
5x + 55/2 = 0 5x = -55/2 x = -55/2 / 5 x = -11/2
Solve the equation 5x + 80/3 = 0
5x + 80/3 = 0 5x = -80/3 x = -80/3 / 5 x = -16/3
Determine x in x^3 + 669/40x^2 + 2489/40x + 663/10 = 0
x^3 + 669/40x^2 + 2489/40x + 663/10 = 0 (x - -17/8)(x - -13/5)(x - -12) = 0 x - -17/8 = 0 x - -13/5 = 0 x - -12 = 0 x = -17/8 x = -13/5 x = -12
Solve 6x - 114/7 = 0
6x - 114/7 = 0 6x = 114/7 x = 114/7 / 6 x = 19/7
Solve the equations: 9x + 7y = 58/5 3x + 8y = 127/5
9x + 7y = 58/5 3x + 8y = 127/5 Using elimination 3*(9x + 7y = 58/5) 9*(3x + 8y = 127/5) 27x + 21y = 174/5 27x + 72y = 1143/5 Subtract equations -51y = -969/5 y = -969/5/-51 y = 19/5 Substitute y 9x + 7(19/5) = 58/5 9x = -15 x = -15/9 x = -5/3
Compute the solution of x^2 - 19/5x - 4/5 = 0
x^2 - 19/5x - 4/5 = 0 (x - -1/5)(x - 4) = 0 x - -1/5 = 0 or x - 4 = 0 x = -1/5 x = 4
What value of x satisfies x^2 + 3/2x - 10 = 0
x^2 + 3/2x - 10 = 0 (x - 5/2)(x - -4) = 0 x - 5/2 = 0 or x - -4 = 0 x = 5/2 x = -4
Solve x^3 + 116/15x^2 + 239/15x + 26/5 = 0
x^3 + 116/15x^2 + 239/15x + 26/5 = 0 (x - -13/3)(x - -2/5)(x - -3) = 0 x - -13/3 = 0 x - -2/5 = 0 x - -3 = 0 x = -13/3 x = -2/5 x = -3
Solve quickly: x^2 - 12/5x - 9/5 = 0
x^2 - 12/5x - 9/5 = 0 (x - 3)(x - -3/5) = 0 x - 3 = 0 or x - -3/5 = 0 x = 3 x = -3/5
Find x for x^3 - 101/6x^2 + 43x + 760/3 = 0
x^3 - 101/6x^2 + 43x + 760/3 = 0 (x - 19/2)(x - -8/3)(x - 10) = 0 x - 19/2 = 0 x - -8/3 = 0 x - 10 = 0 x = 19/2 x = -8/3 x = 10
Solve quickly: x^3 + 5/3x^2 - 17x - 39 = 0
x^3 + 5/3x^2 - 17x - 39 = 0 (x - -3)(x - -3)(x - 13/3) = 0 x - -3 = 0 x - -3 = 0 x - 13/3 = 0 x = -3 x = -3 x = 13/3
Compute the solution of 5x + 75/7 = 0
5x + 75/7 = 0 5x = -75/7 x = -75/7 / 5 x = -15/7
Solve the system: 6x + 1y = -20 5x + 4y = -23
6x + 1y = -20 5x + 4y = -23 Using elimination 5*(6x + 1y = -20) 6*(5x + 4y = -23) 30x + 5y = -100 30x + 24y = -138 Subtract equations -19y = 38 y = 38/-19 y = -2 Substitute y 6x + 1(-2) = -20 6x = -18 x = -18/6 x = -3
Solve the system: 8x + 5y = 200/3 8x + 3y = 64
8x + 5y = 200/3 8x + 3y = 64 Using elimination 8*(8x + 5y = 200/3) 8*(8x + 3y = 64) 64x + 40y = 1600/3 64x + 24y = 512 Subtract equations 16y = 64/3 y = 64/3/16 y = 4/3 Substitute y 8x + 5(4/3) = 200/3 8x = 60 x = 60/8 x = 15/2
Find x for x^3 - 143/70x^2 - 491/50x + 418/35 = 0
x^3 - 143/70x^2 - 491/50x + 418/35 = 0 (x - -20/7)(x - 19/5)(x - 11/10) = 0 x - -20/7 = 0 x - 19/5 = 0 x - 11/10 = 0 x = -20/7 x = 19/5 x = 11/10
Find x in x^3 - 14/3x^2 - 139/4x - 153/4 = 0
x^3 - 14/3x^2 - 139/4x - 153/4 = 0 (x - 9)(x - -17/6)(x - -3/2) = 0 x - 9 = 0 x - -17/6 = 0 x - -3/2 = 0 x = 9 x = -17/6 x = -3/2
Determine x in 5x - 65/3 = 0
5x - 65/3 = 0 5x = 65/3 x = 65/3 / 5 x = 13/3
Solve simultaneously: 1x + 7y = -122/35 6x + 7y = 3/35
1x + 7y = -122/35 6x + 7y = 3/35 Using elimination 6*(1x + 7y = -122/35) 1*(6x + 7y = 3/35) 6x + 42y = -732/35 6x + 7y = 3/35 Subtract equations 35y = -21 y = -21/35 y = -3/5 Substitute y 1x + 7(-3/5) = -122/35 1x = 5/7 x = 5/7/1 x = 5/7
Find x in 10x + 10/3 = 0
10x + 10/3 = 0 10x = -10/3 x = -10/3 / 10 x = -1/3
Find x and y such that 4x + 9y = -33/10 1x + 6y = 81/20
4x + 9y = -33/10 1x + 6y = 81/20 Using elimination 1*(4x + 9y = -33/10) 4*(1x + 6y = 81/20) 4x + 9y = -33/10 4x + 24y = 81/5 Subtract equations -15y = -39/2 y = -39/2/-15 y = 13/10 Substitute y 4x + 9(13/10) = -33/10 4x = -15 x = -15/4 x = -15/4
Compute the solution of x^2 + 131/56x + 15/14 = 0
x^2 + 131/56x + 15/14 = 0 (x - -12/7)(x - -5/8) = 0 x - -12/7 = 0 or x - -5/8 = 0 x = -12/7 x = -5/8
Solve the equations: 10x + 8y = -208/35 8x + 3y = -71/70
10x + 8y = -208/35 8x + 3y = -71/70 Using elimination 8*(10x + 8y = -208/35) 10*(8x + 3y = -71/70) 80x + 64y = -1664/35 80x + 30y = -71/7 Subtract equations 34y = -187/5 y = -187/5/34 y = -11/10 Substitute y 10x + 8(-11/10) = -208/35 10x = 20/7 x = 20/7/10 x = 2/7
Solve the equations: 9x + 8y = 37 6x + 9y = 21
9x + 8y = 37 6x + 9y = 21 Using elimination 6*(9x + 8y = 37) 9*(6x + 9y = 21) 54x + 48y = 222 54x + 81y = 189 Subtract equations -33y = 33 y = 33/-33 y = -1 Substitute y 9x + 8(-1) = 37 9x = 45 x = 45/9 x = 5
Find x and y such that 1x + 10y = -289/7 4x + 6y = -204/7
1x + 10y = -289/7 4x + 6y = -204/7 Using elimination 4*(1x + 10y = -289/7) 1*(4x + 6y = -204/7) 4x + 40y = -1156/7 4x + 6y = -204/7 Subtract equations 34y = -136 y = -136/34 y = -4 Substitute y 1x + 10(-4) = -289/7 1x = -9/7 x = -9/7/1 x = -9/7
Solve the system: 2x + 5y = -20/9 2x + 10y = -20/9
2x + 5y = -20/9 2x + 10y = -20/9 Using elimination 2*(2x + 5y = -20/9) 2*(2x + 10y = -20/9) 4x + 10y = -40/9 4x + 20y = -40/9 Subtract equations -10y = 0 y = 0/-10 y = 0 Substitute y 2x + 5(0) = -20/9 2x = -20/9 x = -20/9/2 x = -10/9
What value of x satisfies 5x - 5/6 = 0
5x - 5/6 = 0 5x = 5/6 x = 5/6 / 5 x = 1/6
Solve the equations: 8x + 4y = 176/45 8x + 10y = -154/45
8x + 4y = 176/45 8x + 10y = -154/45 Using elimination 8*(8x + 4y = 176/45) 8*(8x + 10y = -154/45) 64x + 32y = 1408/45 64x + 80y = -1232/45 Subtract equations -48y = 176/3 y = 176/3/-48 y = -11/9 Substitute y 8x + 4(-11/9) = 176/45 8x = 44/5 x = 44/5/8 x = 11/10
Find x for 10x - 20/9 = 0
10x - 20/9 = 0 10x = 20/9 x = 20/9 / 10 x = 2/9
Solve the equation x^3 - 46/3x^2 + 17x + 520/3 = 0
x^3 - 46/3x^2 + 17x + 520/3 = 0 (x - -8/3)(x - 13)(x - 5) = 0 x - -8/3 = 0 x - 13 = 0 x - 5 = 0 x = -8/3 x = 13 x = 5
Solve the equation x^3 + 297/20x^2 - 51/20x - 2023/10 = 0
x^3 + 297/20x^2 - 51/20x - 2023/10 = 0 (x - 17/5)(x - -14)(x - -17/4) = 0 x - 17/5 = 0 x - -14 = 0 x - -17/4 = 0 x = 17/5 x = -14 x = -17/4
What value of x satisfies x^3 - 814/45x^2 + 17x + 1156/45 = 0
x^3 - 814/45x^2 + 17x + 1156/45 = 0 (x - 17/9)(x - -4/5)(x - 17) = 0 x - 17/9 = 0 x - -4/5 = 0 x - 17 = 0 x = 17/9 x = -4/5 x = 17
Solve quickly: x^2 + 57/14x + 55/14 = 0
x^2 + 57/14x + 55/14 = 0 (x - -11/7)(x - -5/2) = 0 x - -11/7 = 0 or x - -5/2 = 0 x = -11/7 x = -5/2
Solve simultaneously: 6x + 5y = 74/3 10x + 8y = 122/3
6x + 5y = 74/3 10x + 8y = 122/3 Using elimination 10*(6x + 5y = 74/3) 6*(10x + 8y = 122/3) 60x + 50y = 740/3 60x + 48y = 244 Subtract equations 2y = 8/3 y = 8/3/2 y = 4/3 Substitute y 6x + 5(4/3) = 74/3 6x = 18 x = 18/6 x = 3
Solve simultaneously: 8x + 10y = 54 2x + 3y = 16
8x + 10y = 54 2x + 3y = 16 Using elimination 2*(8x + 10y = 54) 8*(2x + 3y = 16) 16x + 20y = 108 16x + 24y = 128 Subtract equations -4y = -20 y = -20/-4 y = 5 Substitute y 8x + 10(5) = 54 8x = 4 x = 4/8 x = 1/2
Find x for x^3 - 181/12x^2 - 311/6x - 12 = 0
x^3 - 181/12x^2 - 311/6x - 12 = 0 (x - -8/3)(x - -1/4)(x - 18) = 0 x - -8/3 = 0 x - -1/4 = 0 x - 18 = 0 x = -8/3 x = -1/4 x = 18
Find x and y such that 7x + 5y = -319/10 10x + 8y = -49
7x + 5y = -319/10 10x + 8y = -49 Using elimination 10*(7x + 5y = -319/10) 7*(10x + 8y = -49) 70x + 50y = -319 70x + 56y = -343 Subtract equations -6y = 24 y = 24/-6 y = -4 Substitute y 7x + 5(-4) = -319/10 7x = -119/10 x = -119/10/7 x = -17/10
Determine x in 5x + 75/8 = 0
5x + 75/8 = 0 5x = -75/8 x = -75/8 / 5 x = -15/8
Solve simultaneously: 4x + 1y = -57/4 7x + 8y = -39
4x + 1y = -57/4 7x + 8y = -39 Using elimination 7*(4x + 1y = -57/4) 4*(7x + 8y = -39) 28x + 7y = -399/4 28x + 32y = -156 Subtract equations -25y = 225/4 y = 225/4/-25 y = -9/4 Substitute y 4x + 1(-9/4) = -57/4 4x = -12 x = -12/4 x = -3
Solve quickly: x^3 + 65/8x^2 - 171/4x + 45 = 0
x^3 + 65/8x^2 - 171/4x + 45 = 0 (x - -12)(x - 2)(x - 15/8) = 0 x - -12 = 0 x - 2 = 0 x - 15/8 = 0 x = -12 x = 2 x = 15/8
Find x in x^3 + 61/10x^2 - 1/5x - 57/2 = 0
x^3 + 61/10x^2 - 1/5x - 57/2 = 0 (x - -5)(x - 19/10)(x - -3) = 0 x - -5 = 0 x - 19/10 = 0 x - -3 = 0 x = -5 x = 19/10 x = -3
Find x in x^2 - 39/28x + 5/28 = 0
x^2 - 39/28x + 5/28 = 0 (x - 1/7)(x - 5/4) = 0 x - 1/7 = 0 or x - 5/4 = 0 x = 1/7 x = 5/4
Solve x^3 - 133/24x^2 + 6583/648x - 665/108 = 0
x^3 - 133/24x^2 + 6583/648x - 665/108 = 0 (x - 15/8)(x - 19/9)(x - 14/9) = 0 x - 15/8 = 0 x - 19/9 = 0 x - 14/9 = 0 x = 15/8 x = 19/9 x = 14/9
Find the solution to 7x + 1 = 0
7x + 1 = 0 7x = -1 x = -1 / 7 x = -1/7
Compute the solution of 4x + 38 = 0
4x + 38 = 0 4x = -38 x = -38 / 4 x = -19/2
Find the solution to x^2 - 7/2x - 2 = 0
x^2 - 7/2x - 2 = 0 (x - 4)(x - -1/2) = 0 x - 4 = 0 or x - -1/2 = 0 x = 4 x = -1/2
What value of x satisfies x^3 + 682/105x^2 + 397/35x + 374/105 = 0
x^3 + 682/105x^2 + 397/35x + 374/105 = 0 (x - -11/3)(x - -17/7)(x - -2/5) = 0 x - -11/3 = 0 x - -17/7 = 0 x - -2/5 = 0 x = -11/3 x = -17/7 x = -2/5
What value of x satisfies x^2 + 41/14x + 15/14 = 0
x^2 + 41/14x + 15/14 = 0 (x - -3/7)(x - -5/2) = 0 x - -3/7 = 0 or x - -5/2 = 0 x = -3/7 x = -5/2
Solve the system: 4x + 5y = -15/2 5x + 1y = -69/4
4x + 5y = -15/2 5x + 1y = -69/4 Using elimination 5*(4x + 5y = -15/2) 4*(5x + 1y = -69/4) 20x + 25y = -75/2 20x + 4y = -69 Subtract equations 21y = 63/2 y = 63/2/21 y = 3/2 Substitute y 4x + 5(3/2) = -15/2 4x = -15 x = -15/4 x = -15/4
Find the solution to x^3 + 109/18x^2 - 457/18x + 10 = 0
x^3 + 109/18x^2 - 457/18x + 10 = 0 (x - 5/2)(x - 4/9)(x - -9) = 0 x - 5/2 = 0 x - 4/9 = 0 x - -9 = 0 x = 5/2 x = 4/9 x = -9
Find x for 5x + 10 = 0
5x + 10 = 0 5x = -10 x = -10 / 5 x = -2
What value of x satisfies 10x + 2 = 0
10x + 2 = 0 10x = -2 x = -2 / 10 x = -1/5
Solve quickly: x^2 - 1/3x - 80/3 = 0
x^2 - 1/3x - 80/3 = 0 (x - 16/3)(x - -5) = 0 x - 16/3 = 0 or x - -5 = 0 x = 16/3 x = -5
Find x in 3x + 27/4 = 0
3x + 27/4 = 0 3x = -27/4 x = -27/4 / 3 x = -9/4
Find x for x^3 + 29/12x^2 - 55/4x - 91/6 = 0
x^3 + 29/12x^2 - 55/4x - 91/6 = 0 (x - 13/4)(x - -14/3)(x - -1) = 0 x - 13/4 = 0 x - -14/3 = 0 x - -1 = 0 x = 13/4 x = -14/3 x = -1
Find x in x^3 + 55/3x^2 + 637/12x - 845/4 = 0
x^3 + 55/3x^2 + 637/12x - 845/4 = 0 (x - -13)(x - -15/2)(x - 13/6) = 0 x - -13 = 0 x - -15/2 = 0 x - 13/6 = 0 x = -13 x = -15/2 x = 13/6
Find x in x^3 + 69/8x^2 + 727/32x + 1197/64 = 0
x^3 + 69/8x^2 + 727/32x + 1197/64 = 0 (x - -19/8)(x - -7/4)(x - -9/2) = 0 x - -19/8 = 0 x - -7/4 = 0 x - -9/2 = 0 x = -19/8 x = -7/4 x = -9/2
Solve quickly: x^3 + 91/72x^2 - 161/288x + 13/288 = 0
x^3 + 91/72x^2 - 161/288x + 13/288 = 0 (x - -13/8)(x - 1/4)(x - 1/9) = 0 x - -13/8 = 0 x - 1/4 = 0 x - 1/9 = 0 x = -13/8 x = 1/4 x = 1/9
Find x and y such that 7x + 5y = 32 10x + 4y = 254/7
7x + 5y = 32 10x + 4y = 254/7 Using elimination 10*(7x + 5y = 32) 7*(10x + 4y = 254/7) 70x + 50y = 320 70x + 28y = 254 Subtract equations 22y = 66 y = 66/22 y = 3 Substitute y 7x + 5(3) = 32 7x = 17 x = 17/7 x = 17/7
Find x in x^2 - 183/70x + 19/14 = 0
x^2 - 183/70x + 19/14 = 0 (x - 5/7)(x - 19/10) = 0 x - 5/7 = 0 or x - 19/10 = 0 x = 5/7 x = 19/10
Find x in x^3 - 38/3x^2 - 409/12x - 55/4 = 0
x^3 - 38/3x^2 - 409/12x - 55/4 = 0 (x - 15)(x - -11/6)(x - -1/2) = 0 x - 15 = 0 x - -11/6 = 0 x - -1/2 = 0 x = 15 x = -11/6 x = -1/2
Determine x in 9x + 45 = 0
9x + 45 = 0 9x = -45 x = -45 / 9 x = -5
Solve the system: 3x + 8y = -749/40 4x + 4y = -103/10
3x + 8y = -749/40 4x + 4y = -103/10 Using elimination 4*(3x + 8y = -749/40) 3*(4x + 4y = -103/10) 12x + 32y = -749/10 12x + 12y = -309/10 Subtract equations 20y = -44 y = -44/20 y = -11/5 Substitute y 3x + 8(-11/5) = -749/40 3x = -9/8 x = -9/8/3 x = -3/8
Find x for x^2 - 25/18x - 133/18 = 0
x^2 - 25/18x - 133/18 = 0 (x - -19/9)(x - 7/2) = 0 x - -19/9 = 0 or x - 7/2 = 0 x = -19/9 x = 7/2
Solve simultaneously: 8x + 4y = 10/3 8x + 8y = 32/3
8x + 4y = 10/3 8x + 8y = 32/3 Using elimination 8*(8x + 4y = 10/3) 8*(8x + 8y = 32/3) 64x + 32y = 80/3 64x + 64y = 256/3 Subtract equations -32y = -176/3 y = -176/3/-32 y = 11/6 Substitute y 8x + 4(11/6) = 10/3 8x = -4 x = -4/8 x = -1/2
What value of x satisfies x^3 + 10/63x^2 - 17/189x - 2/189 = 0
x^3 + 10/63x^2 - 17/189x - 2/189 = 0 (x - -1/3)(x - -1/9)(x - 2/7) = 0 x - -1/3 = 0 x - -1/9 = 0 x - 2/7 = 0 x = -1/3 x = -1/9 x = 2/7
Find x for x^3 - 152/21x^2 + 31/3x + 30/7 = 0
x^3 - 152/21x^2 + 31/3x + 30/7 = 0 (x - 5)(x - -1/3)(x - 18/7) = 0 x - 5 = 0 x - -1/3 = 0 x - 18/7 = 0 x = 5 x = -1/3 x = 18/7
Find x and y such that 7x + 4y = -74/5 6x + 3y = -867/70
7x + 4y = -74/5 6x + 3y = -867/70 Using elimination 6*(7x + 4y = -74/5) 7*(6x + 3y = -867/70) 42x + 24y = -444/5 42x + 21y = -867/10 Subtract equations 3y = -21/10 y = -21/10/3 y = -7/10 Substitute y 7x + 4(-7/10) = -74/5 7x = -12 x = -12/7 x = -12/7
Solve simultaneously: 7x + 4y = -129/5 8x + 3y = -138/5
7x + 4y = -129/5 8x + 3y = -138/5 Using elimination 8*(7x + 4y = -129/5) 7*(8x + 3y = -138/5) 56x + 32y = -1032/5 56x + 21y = -966/5 Subtract equations 11y = -66/5 y = -66/5/11 y = -6/5 Substitute y 7x + 4(-6/5) = -129/5 7x = -21 x = -21/7 x = -3
Determine x in x^3 - 227/72x^2 + 515/288x + 7/6 = 0
x^3 - 227/72x^2 + 515/288x + 7/6 = 0 (x - 7/4)(x - -3/8)(x - 16/9) = 0 x - 7/4 = 0 x - -3/8 = 0 x - 16/9 = 0 x = 7/4 x = -3/8 x = 16/9
Find the solution to 1x - 14/9 = 0
1x - 14/9 = 0 1x = 14/9 x = 14/9 / 1 x = 14/9
Determine x in x^3 - 129/8x^2 - 599/8x - 105/2 = 0
x^3 - 129/8x^2 - 599/8x - 105/2 = 0 (x - -7/8)(x - -3)(x - 20) = 0 x - -7/8 = 0 x - -3 = 0 x - 20 = 0 x = -7/8 x = -3 x = 20
Find x and y such that 1x + 8y = -50 3x + 5y = -53/2
1x + 8y = -50 3x + 5y = -53/2 Using elimination 3*(1x + 8y = -50) 1*(3x + 5y = -53/2) 3x + 24y = -150 3x + 5y = -53/2 Subtract equations 19y = -247/2 y = -247/2/19 y = -13/2 Substitute y 1x + 8(-13/2) = -50 1x = 2 x = 2/1 x = 2
Solve x^3 + 61/14x^2 + 25/14x - 50/7 = 0
x^3 + 61/14x^2 + 25/14x - 50/7 = 0 (x - 1)(x - -20/7)(x - -5/2) = 0 x - 1 = 0 x - -20/7 = 0 x - -5/2 = 0 x = 1 x = -20/7 x = -5/2
Find x in 9x + 21 = 0
9x + 21 = 0 9x = -21 x = -21 / 9 x = -7/3
Solve the system: 9x + 6y = -5 5x + 6y = -61/9
9x + 6y = -5 5x + 6y = -61/9 Using elimination 5*(9x + 6y = -5) 9*(5x + 6y = -61/9) 45x + 30y = -25 45x + 54y = -61 Subtract equations -24y = 36 y = 36/-24 y = -3/2 Substitute y 9x + 6(-3/2) = -5 9x = 4 x = 4/9 x = 4/9
Solve x^2 - 21/10x + 11/10 = 0
x^2 - 21/10x + 11/10 = 0 (x - 11/10)(x - 1) = 0 x - 11/10 = 0 or x - 1 = 0 x = 11/10 x = 1
Find x in 10x + 160 = 0
10x + 160 = 0 10x = -160 x = -160 / 10 x = -16
Solve the equation x^3 + 115/42x^2 - 401/42x - 51/7 = 0
x^3 + 115/42x^2 - 401/42x - 51/7 = 0 (x - 17/7)(x - -9/2)(x - -2/3) = 0 x - 17/7 = 0 x - -9/2 = 0 x - -2/3 = 0 x = 17/7 x = -9/2 x = -2/3
Determine x in x^3 - 176/21x^2 + 1459/63x - 190/9 = 0
x^3 - 176/21x^2 + 1459/63x - 190/9 = 0 (x - 7/3)(x - 10/3)(x - 19/7) = 0 x - 7/3 = 0 x - 10/3 = 0 x - 19/7 = 0 x = 7/3 x = 10/3 x = 19/7
Find x and y such that 4x + 4y = 20 1x + 3y = 7
4x + 4y = 20 1x + 3y = 7 Using elimination 1*(4x + 4y = 20) 4*(1x + 3y = 7) 4x + 4y = 20 4x + 12y = 28 Subtract equations -8y = -8 y = -8/-8 y = 1 Substitute y 4x + 4(1) = 20 4x = 16 x = 16/4 x = 4