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Find x for x^2 - 63/10x + 22/5 = 0
x^2 - 63/10x + 22/5 = 0 (x - 11/2)(x - 4/5) = 0 x - 11/2 = 0 or x - 4/5 = 0 x = 11/2 x = 4/5
Find the solution to x^2 - 7x + 104/9 = 0
x^2 - 7x + 104/9 = 0 (x - 8/3)(x - 13/3) = 0 x - 8/3 = 0 or x - 13/3 = 0 x = 8/3 x = 13/3
Solve the equations: 8x + 3y = 24 2x + 3y = 51/4
8x + 3y = 24 2x + 3y = 51/4 Using elimination 2*(8x + 3y = 24) 8*(2x + 3y = 51/4) 16x + 6y = 48 16x + 24y = 102 Subtract equations -18y = -54 y = -54/-18 y = 3 Substitute y 8x + 3(3) = 24 8x = 15 x = 15/8 x = 15/8
Solve the equations: 4x + 8y = 299/2 5x + 8y = 1191/8
4x + 8y = 299/2 5x + 8y = 1191/8 Using elimination 5*(4x + 8y = 299/2) 4*(5x + 8y = 1191/8) 20x + 40y = 1495/2 20x + 32y = 1191/2 Subtract equations 8y = 152 y = 152/8 y = 19 Substitute y 4x + 8(19) = 299/2 4x = -5/2 x = -5/2/4 x = -5/8
Solve x^3 - 35/6x^2 - 11x + 455/6 = 0
x^3 - 35/6x^2 - 11x + 455/6 = 0 (x - -7/2)(x - 5)(x - 13/3) = 0 x - -7/2 = 0 x - 5 = 0 x - 13/3 = 0 x = -7/2 x = 5 x = 13/3
Solve the equation x^3 + 261/56x^2 + 801/112x + 405/112 = 0
x^3 + 261/56x^2 + 801/112x + 405/112 = 0 (x - -15/8)(x - -9/7)(x - -3/2) = 0 x - -15/8 = 0 x - -9/7 = 0 x - -3/2 = 0 x = -15/8 x = -9/7 x = -3/2
What value of x satisfies 9x - 36 = 0
9x - 36 = 0 9x = 36 x = 36 / 9 x = 4
Find x in 2x = 0
2x = 0 2x = 0 x = 0 / 2 x = 0
Solve simultaneously: 10x + 5y = -35/3 10x + 4y = -37/3
10x + 5y = -35/3 10x + 4y = -37/3 Using elimination 10*(10x + 5y = -35/3) 10*(10x + 4y = -37/3) 100x + 50y = -350/3 100x + 40y = -370/3 Subtract equations 10y = 20/3 y = 20/3/10 y = 2/3 Substitute y 10x + 5(2/3) = -35/3 10x = -15 x = -15/10 x = -3/2
Solve x^2 + 4x - 64/9 = 0
x^2 + 4x - 64/9 = 0 (x - -16/3)(x - 4/3) = 0 x - -16/3 = 0 or x - 4/3 = 0 x = -16/3 x = 4/3
What value of x satisfies x^2 - 27x + 182 = 0
x^2 - 27x + 182 = 0 (x - 14)(x - 13) = 0 x - 14 = 0 or x - 13 = 0 x = 14 x = 13
Solve simultaneously: 4x + 8y = 34 10x + 4y = 31/3
4x + 8y = 34 10x + 4y = 31/3 Using elimination 10*(4x + 8y = 34) 4*(10x + 4y = 31/3) 40x + 80y = 340 40x + 16y = 124/3 Subtract equations 64y = 896/3 y = 896/3/64 y = 14/3 Substitute y 4x + 8(14/3) = 34 4x = -10/3 x = -10/3/4 x = -5/6
Solve the system: 4x + 4y = 8 2x + 1y = 3
4x + 4y = 8 2x + 1y = 3 Using elimination 2*(4x + 4y = 8) 4*(2x + 1y = 3) 8x + 8y = 16 8x + 4y = 12 Subtract equations 4y = 4 y = 4/4 y = 1 Substitute y 4x + 4(1) = 8 4x = 4 x = 4/4 x = 1
Solve 7x - 133/9 = 0
7x - 133/9 = 0 7x = 133/9 x = 133/9 / 7 x = 19/9
Solve x^3 + 181/42x^2 + 347/126x - 85/21 = 0
x^3 + 181/42x^2 + 347/126x - 85/21 = 0 (x - 2/3)(x - -17/6)(x - -15/7) = 0 x - 2/3 = 0 x - -17/6 = 0 x - -15/7 = 0 x = 2/3 x = -17/6 x = -15/7
Find x for x^3 - 23/30x^2 - 733/150x - 12/25 = 0
x^3 - 23/30x^2 - 733/150x - 12/25 = 0 (x - -9/5)(x - -1/10)(x - 8/3) = 0 x - -9/5 = 0 x - -1/10 = 0 x - 8/3 = 0 x = -9/5 x = -1/10 x = 8/3
Find the solution to x^3 + 14/5x^2 - 8/45x - 64/45 = 0
x^3 + 14/5x^2 - 8/45x - 64/45 = 0 (x - 2/3)(x - -4/5)(x - -8/3) = 0 x - 2/3 = 0 x - -4/5 = 0 x - -8/3 = 0 x = 2/3 x = -4/5 x = -8/3
Find x in x^2 - 7/2x - 15/2 = 0
x^2 - 7/2x - 15/2 = 0 (x - 5)(x - -3/2) = 0 x - 5 = 0 or x - -3/2 = 0 x = 5 x = -3/2
Compute the solution of x^3 + 5/8x^2 - 51/32x - 27/64 = 0
x^3 + 5/8x^2 - 51/32x - 27/64 = 0 (x - 9/8)(x - -1/4)(x - -3/2) = 0 x - 9/8 = 0 x - -1/4 = 0 x - -3/2 = 0 x = 9/8 x = -1/4 x = -3/2
Solve simultaneously: 1x + 9y = -102/7 5x + 3y = 162/7
1x + 9y = -102/7 5x + 3y = 162/7 Using elimination 5*(1x + 9y = -102/7) 1*(5x + 3y = 162/7) 5x + 45y = -510/7 5x + 3y = 162/7 Subtract equations 42y = -96 y = -96/42 y = -16/7 Substitute y 1x + 9(-16/7) = -102/7 1x = 6 x = 6/1 x = 6
Find the solution to 4x - 32/3 = 0
4x - 32/3 = 0 4x = 32/3 x = 32/3 / 4 x = 8/3
Compute the solution of 10x = 0
10x = 0 10x = 0 x = 0 / 10 x = 0
Determine x in x^3 - 14/3x^2 - 5x + 50/3 = 0
x^3 - 14/3x^2 - 5x + 50/3 = 0 (x - 5)(x - 5/3)(x - -2) = 0 x - 5 = 0 x - 5/3 = 0 x - -2 = 0 x = 5 x = 5/3 x = -2
What value of x satisfies x^3 + 56/15x^2 - 63/5x + 6 = 0
x^3 + 56/15x^2 - 63/5x + 6 = 0 (x - -6)(x - 3/5)(x - 5/3) = 0 x - -6 = 0 x - 3/5 = 0 x - 5/3 = 0 x = -6 x = 3/5 x = 5/3
Solve the equation x^2 - 23/10x + 33/25 = 0
x^2 - 23/10x + 33/25 = 0 (x - 6/5)(x - 11/10) = 0 x - 6/5 = 0 or x - 11/10 = 0 x = 6/5 x = 11/10
Compute the solution of 9x + 90/7 = 0
9x + 90/7 = 0 9x = -90/7 x = -90/7 / 9 x = -10/7
Compute the solution of 5x - 35 = 0
5x - 35 = 0 5x = 35 x = 35 / 5 x = 7
Find x in x^3 + 553/24x^2 + 1273/16x + 2527/48 = 0
x^3 + 553/24x^2 + 1273/16x + 2527/48 = 0 (x - -19)(x - -19/6)(x - -7/8) = 0 x - -19 = 0 x - -19/6 = 0 x - -7/8 = 0 x = -19 x = -19/6 x = -7/8
Solve 1x - 3/10 = 0
1x - 3/10 = 0 1x = 3/10 x = 3/10 / 1 x = 3/10
Solve quickly: x^3 - 79/4x^2 + 223/2x - 140 = 0
x^3 - 79/4x^2 + 223/2x - 140 = 0 (x - 7/4)(x - 10)(x - 8) = 0 x - 7/4 = 0 x - 10 = 0 x - 8 = 0 x = 7/4 x = 10 x = 8
Find x in x^3 - 619/210x^2 + 79/42x + 2/5 = 0
x^3 - 619/210x^2 + 79/42x + 2/5 = 0 (x - 7/5)(x - -1/6)(x - 12/7) = 0 x - 7/5 = 0 x - -1/6 = 0 x - 12/7 = 0 x = 7/5 x = -1/6 x = 12/7
Find x and y such that 8x + 8y = 168 6x + 10y = 134
8x + 8y = 168 6x + 10y = 134 Using elimination 6*(8x + 8y = 168) 8*(6x + 10y = 134) 48x + 48y = 1008 48x + 80y = 1072 Subtract equations -32y = -64 y = -64/-32 y = 2 Substitute y 8x + 8(2) = 168 8x = 152 x = 152/8 x = 19
Find x for 10x + 40 = 0
10x + 40 = 0 10x = -40 x = -40 / 10 x = -4
Solve the equation 9x + 153/4 = 0
9x + 153/4 = 0 9x = -153/4 x = -153/4 / 9 x = -17/4
What value of x satisfies 9x + 27/8 = 0
9x + 27/8 = 0 9x = -27/8 x = -27/8 / 9 x = -3/8
Find the solution to x^3 + 245/24x^2 + 679/24x + 95/4 = 0
x^3 + 245/24x^2 + 679/24x + 95/4 = 0 (x - -19/3)(x - -2)(x - -15/8) = 0 x - -19/3 = 0 x - -2 = 0 x - -15/8 = 0 x = -19/3 x = -2 x = -15/8
Solve the equation x^3 - 53/252x^2 - 131/126x + 10/21 = 0
x^3 - 53/252x^2 - 131/126x + 10/21 = 0 (x - 4/7)(x - 3/4)(x - -10/9) = 0 x - 4/7 = 0 x - 3/4 = 0 x - -10/9 = 0 x = 4/7 x = 3/4 x = -10/9
Solve the equations: 4x + 10y = 108/5 10x + 9y = 22
4x + 10y = 108/5 10x + 9y = 22 Using elimination 10*(4x + 10y = 108/5) 4*(10x + 9y = 22) 40x + 100y = 216 40x + 36y = 88 Subtract equations 64y = 128 y = 128/64 y = 2 Substitute y 4x + 10(2) = 108/5 4x = 8/5 x = 8/5/4 x = 2/5
What value of x satisfies x^2 + 123/35x + 108/35 = 0
x^2 + 123/35x + 108/35 = 0 (x - -12/7)(x - -9/5) = 0 x - -12/7 = 0 or x - -9/5 = 0 x = -12/7 x = -9/5
Solve simultaneously: 3x + 1y = 15/2 5x + 4y = -5
3x + 1y = 15/2 5x + 4y = -5 Using elimination 5*(3x + 1y = 15/2) 3*(5x + 4y = -5) 15x + 5y = 75/2 15x + 12y = -15 Subtract equations -7y = 105/2 y = 105/2/-7 y = -15/2 Substitute y 3x + 1(-15/2) = 15/2 3x = 15 x = 15/3 x = 5
Compute the solution of 8x - 64/5 = 0
8x - 64/5 = 0 8x = 64/5 x = 64/5 / 8 x = 8/5
Solve quickly: x^3 + 224/15x^2 - 263/15x - 112/15 = 0
x^3 + 224/15x^2 - 263/15x - 112/15 = 0 (x - 7/5)(x - -1/3)(x - -16) = 0 x - 7/5 = 0 x - -1/3 = 0 x - -16 = 0 x = 7/5 x = -1/3 x = -16
Find x in x^3 - 34/9x^2 - 25/3x + 100/9 = 0
x^3 - 34/9x^2 - 25/3x + 100/9 = 0 (x - -20/9)(x - 5)(x - 1) = 0 x - -20/9 = 0 x - 5 = 0 x - 1 = 0 x = -20/9 x = 5 x = 1
Solve the system: 2x + 10y = 10 8x + 7y = 499/10
2x + 10y = 10 8x + 7y = 499/10 Using elimination 8*(2x + 10y = 10) 2*(8x + 7y = 499/10) 16x + 80y = 80 16x + 14y = 499/5 Subtract equations 66y = -99/5 y = -99/5/66 y = -3/10 Substitute y 2x + 10(-3/10) = 10 2x = 13 x = 13/2 x = 13/2
Solve x^3 - 23/4x^2 + 9/2x + 45/4 = 0
x^3 - 23/4x^2 + 9/2x + 45/4 = 0 (x - -1)(x - 15/4)(x - 3) = 0 x - -1 = 0 x - 15/4 = 0 x - 3 = 0 x = -1 x = 15/4 x = 3
Solve 5x + 55/3 = 0
5x + 55/3 = 0 5x = -55/3 x = -55/3 / 5 x = -11/3
Find the solution to x^2 - 7/2x - 15/2 = 0
x^2 - 7/2x - 15/2 = 0 (x - -3/2)(x - 5) = 0 x - -3/2 = 0 or x - 5 = 0 x = -3/2 x = 5
Solve 4x + 76/7 = 0
4x + 76/7 = 0 4x = -76/7 x = -76/7 / 4 x = -19/7
Find the solution to 10x - 90/7 = 0
10x - 90/7 = 0 10x = 90/7 x = 90/7 / 10 x = 9/7
Find x for x^2 + 11/3x + 19/12 = 0
x^2 + 11/3x + 19/12 = 0 (x - -1/2)(x - -19/6) = 0 x - -1/2 = 0 or x - -19/6 = 0 x = -1/2 x = -19/6
Find the solution to 10x + 70/3 = 0
10x + 70/3 = 0 10x = -70/3 x = -70/3 / 10 x = -7/3
Determine x in x^3 + 5/72x^2 - 29/48x - 7/36 = 0
x^3 + 5/72x^2 - 29/48x - 7/36 = 0 (x - -1/2)(x - 7/8)(x - -4/9) = 0 x - -1/2 = 0 x - 7/8 = 0 x - -4/9 = 0 x = -1/2 x = 7/8 x = -4/9
Find x in x^3 + 767/280x^2 + 219/280x - 117/70 = 0
x^3 + 767/280x^2 + 219/280x - 117/70 = 0 (x - -13/8)(x - 3/5)(x - -12/7) = 0 x - -13/8 = 0 x - 3/5 = 0 x - -12/7 = 0 x = -13/8 x = 3/5 x = -12/7
Solve the equation 2x + 12 = 0
2x + 12 = 0 2x = -12 x = -12 / 2 x = -6
Solve the system: 3x + 2y = -47/4 8x + 8y = -34
3x + 2y = -47/4 8x + 8y = -34 Using elimination 8*(3x + 2y = -47/4) 3*(8x + 8y = -34) 24x + 16y = -94 24x + 24y = -102 Subtract equations -8y = 8 y = 8/-8 y = -1 Substitute y 3x + 2(-1) = -47/4 3x = -39/4 x = -39/4/3 x = -13/4
Solve the equation x^2 + 164/9x - 320/9 = 0
x^2 + 164/9x - 320/9 = 0 (x - -20)(x - 16/9) = 0 x - -20 = 0 or x - 16/9 = 0 x = -20 x = 16/9
Solve the equation 7x - 126/5 = 0
7x - 126/5 = 0 7x = 126/5 x = 126/5 / 7 x = 18/5
Solve the equation 7x - 7 = 0
7x - 7 = 0 7x = 7 x = 7 / 7 x = 1
Find x for 3x + 57/7 = 0
3x + 57/7 = 0 3x = -57/7 x = -57/7 / 3 x = -19/7
Determine x in 5x + 25/6 = 0
5x + 25/6 = 0 5x = -25/6 x = -25/6 / 5 x = -5/6
Solve simultaneously: 7x + 10y = 61/2 2x + 5y = 409/28
7x + 10y = 61/2 2x + 5y = 409/28 Using elimination 2*(7x + 10y = 61/2) 7*(2x + 5y = 409/28) 14x + 20y = 61 14x + 35y = 409/4 Subtract equations -15y = -165/4 y = -165/4/-15 y = 11/4 Substitute y 7x + 10(11/4) = 61/2 7x = 3 x = 3/7 x = 3/7
Solve quickly: x^2 + 37/4x + 85/4 = 0
x^2 + 37/4x + 85/4 = 0 (x - -5)(x - -17/4) = 0 x - -5 = 0 or x - -17/4 = 0 x = -5 x = -17/4
Solve the equations: 2x + 9y = -141/28 8x + 7y = -16
2x + 9y = -141/28 8x + 7y = -16 Using elimination 8*(2x + 9y = -141/28) 2*(8x + 7y = -16) 16x + 72y = -282/7 16x + 14y = -32 Subtract equations 58y = -58/7 y = -58/7/58 y = -1/7 Substitute y 2x + 9(-1/7) = -141/28 2x = -15/4 x = -15/4/2 x = -15/8
Solve quickly: x^3 + 25/14x^2 - 37/14x - 24/7 = 0
x^3 + 25/14x^2 - 37/14x - 24/7 = 0 (x - 3/2)(x - -1)(x - -16/7) = 0 x - 3/2 = 0 x - -1 = 0 x - -16/7 = 0 x = 3/2 x = -1 x = -16/7
Find x for x^3 + 107/20x^2 - 389/20x + 14 = 0
x^3 + 107/20x^2 - 389/20x + 14 = 0 (x - -8)(x - 5/4)(x - 7/5) = 0 x - -8 = 0 x - 5/4 = 0 x - 7/5 = 0 x = -8 x = 5/4 x = 7/5
Compute the solution of x^3 - 19/4x^2 + 395/64x - 323/256 = 0
x^3 - 19/4x^2 + 395/64x - 323/256 = 0 (x - 17/8)(x - 19/8)(x - 1/4) = 0 x - 17/8 = 0 x - 19/8 = 0 x - 1/4 = 0 x = 17/8 x = 19/8 x = 1/4
Solve quickly: x^2 - 19/4x + 11/2 = 0
x^2 - 19/4x + 11/2 = 0 (x - 11/4)(x - 2) = 0 x - 11/4 = 0 or x - 2 = 0 x = 11/4 x = 2
Find x and y such that 5x + 5y = -260/7 6x + 3y = -207/7
5x + 5y = -260/7 6x + 3y = -207/7 Using elimination 6*(5x + 5y = -260/7) 5*(6x + 3y = -207/7) 30x + 30y = -1560/7 30x + 15y = -1035/7 Subtract equations 15y = -75 y = -75/15 y = -5 Substitute y 5x + 5(-5) = -260/7 5x = -85/7 x = -85/7/5 x = -17/7
What value of x satisfies x^2 - 23/8x - 285/32 = 0
x^2 - 23/8x - 285/32 = 0 (x - 19/4)(x - -15/8) = 0 x - 19/4 = 0 or x - -15/8 = 0 x = 19/4 x = -15/8
Compute the solution of x^3 + 3/2x^2 - 305/98x - 102/49 = 0
x^3 + 3/2x^2 - 305/98x - 102/49 = 0 (x - -4/7)(x - 3/2)(x - -17/7) = 0 x - -4/7 = 0 x - 3/2 = 0 x - -17/7 = 0 x = -4/7 x = 3/2 x = -17/7
Solve the equation 3x - 21 = 0
3x - 21 = 0 3x = 21 x = 21 / 3 x = 7
Find x and y such that 2x + 10y = 167/7 2x + 2y = 27/7
2x + 10y = 167/7 2x + 2y = 27/7 Using elimination 2*(2x + 10y = 167/7) 2*(2x + 2y = 27/7) 4x + 20y = 334/7 4x + 4y = 54/7 Subtract equations 16y = 40 y = 40/16 y = 5/2 Substitute y 2x + 10(5/2) = 167/7 2x = -8/7 x = -8/7/2 x = -4/7
Find x in 9x + 171/10 = 0
9x + 171/10 = 0 9x = -171/10 x = -171/10 / 9 x = -19/10
Find x and y such that 9x + 8y = 9/5 7x + 3y = -8/15
9x + 8y = 9/5 7x + 3y = -8/15 Using elimination 7*(9x + 8y = 9/5) 9*(7x + 3y = -8/15) 63x + 56y = 63/5 63x + 27y = -24/5 Subtract equations 29y = 87/5 y = 87/5/29 y = 3/5 Substitute y 9x + 8(3/5) = 9/5 9x = -3 x = -3/9 x = -1/3
Solve simultaneously: 4x + 2y = 282/35 6x + 2y = 338/35
4x + 2y = 282/35 6x + 2y = 338/35 Using elimination 6*(4x + 2y = 282/35) 4*(6x + 2y = 338/35) 24x + 12y = 1692/35 24x + 8y = 1352/35 Subtract equations 4y = 68/7 y = 68/7/4 y = 17/7 Substitute y 4x + 2(17/7) = 282/35 4x = 16/5 x = 16/5/4 x = 4/5
Solve simultaneously: 7x + 2y = 130/9 3x + 2y = 262/63
7x + 2y = 130/9 3x + 2y = 262/63 Using elimination 3*(7x + 2y = 130/9) 7*(3x + 2y = 262/63) 21x + 6y = 130/3 21x + 14y = 262/9 Subtract equations -8y = 128/9 y = 128/9/-8 y = -16/9 Substitute y 7x + 2(-16/9) = 130/9 7x = 18 x = 18/7 x = 18/7
Solve quickly: x^2 + 17/6x - 1/2 = 0
x^2 + 17/6x - 1/2 = 0 (x - 1/6)(x - -3) = 0 x - 1/6 = 0 or x - -3 = 0 x = 1/6 x = -3
Solve x^2 + 17/12x - 33/4 = 0
x^2 + 17/12x - 33/4 = 0 (x - -11/3)(x - 9/4) = 0 x - -11/3 = 0 or x - 9/4 = 0 x = -11/3 x = 9/4
Solve x^3 + 5/3x^2 - 33/4x - 51/4 = 0
x^3 + 5/3x^2 - 33/4x - 51/4 = 0 (x - -3)(x - -3/2)(x - 17/6) = 0 x - -3 = 0 x - -3/2 = 0 x - 17/6 = 0 x = -3 x = -3/2 x = 17/6
Solve quickly: x^2 + 7/2x + 3 = 0
x^2 + 7/2x + 3 = 0 (x - -3/2)(x - -2) = 0 x - -3/2 = 0 or x - -2 = 0 x = -3/2 x = -2
Compute the solution of x^2 - 10/9x - 19/9 = 0
x^2 - 10/9x - 19/9 = 0 (x - 19/9)(x - -1) = 0 x - 19/9 = 0 or x - -1 = 0 x = 19/9 x = -1
What value of x satisfies x^3 + 197/30x^2 + 761/60x + 273/40 = 0
x^3 + 197/30x^2 + 761/60x + 273/40 = 0 (x - -7/2)(x - -13/6)(x - -9/10) = 0 x - -7/2 = 0 x - -13/6 = 0 x - -9/10 = 0 x = -7/2 x = -13/6 x = -9/10
Solve the equation 4x - 7/2 = 0
4x - 7/2 = 0 4x = 7/2 x = 7/2 / 4 x = 7/8
Find the solution to 1x + 10/3 = 0
1x + 10/3 = 0 1x = -10/3 x = -10/3 / 1 x = -10/3
Find x and y such that 7x + 5y = -191/4 7x + 6y = -51
7x + 5y = -191/4 7x + 6y = -51 Using elimination 7*(7x + 5y = -191/4) 7*(7x + 6y = -51) 49x + 35y = -1337/4 49x + 42y = -357 Subtract equations -7y = 91/4 y = 91/4/-7 y = -13/4 Substitute y 7x + 5(-13/4) = -191/4 7x = -63/2 x = -63/2/7 x = -9/2
Find the solution to 8x + 24 = 0
8x + 24 = 0 8x = -24 x = -24 / 8 x = -3
Find x in x^3 + 17/9x^2 - 56/81x - 128/81 = 0
x^3 + 17/9x^2 - 56/81x - 128/81 = 0 (x - 8/9)(x - -16/9)(x - -1) = 0 x - 8/9 = 0 x - -16/9 = 0 x - -1 = 0 x = 8/9 x = -16/9 x = -1
Find the solution to 1x + 15 = 0
1x + 15 = 0 1x = -15 x = -15 / 1 x = -15
Solve simultaneously: 8x + 5y = 667/28 6x + 9y = 831/28
8x + 5y = 667/28 6x + 9y = 831/28 Using elimination 6*(8x + 5y = 667/28) 8*(6x + 9y = 831/28) 48x + 30y = 2001/14 48x + 72y = 1662/7 Subtract equations -42y = -189/2 y = -189/2/-42 y = 9/4 Substitute y 8x + 5(9/4) = 667/28 8x = 88/7 x = 88/7/8 x = 11/7
Compute the solution of x^3 - 133/12x^2 + 203/8x - 17/3 = 0
x^3 - 133/12x^2 + 203/8x - 17/3 = 0 (x - 8)(x - 1/4)(x - 17/6) = 0 x - 8 = 0 x - 1/4 = 0 x - 17/6 = 0 x = 8 x = 1/4 x = 17/6
Find x and y such that 8x + 1y = -171/7 5x + 5y = -260/7
8x + 1y = -171/7 5x + 5y = -260/7 Using elimination 5*(8x + 1y = -171/7) 8*(5x + 5y = -260/7) 40x + 5y = -855/7 40x + 40y = -2080/7 Subtract equations -35y = 175 y = 175/-35 y = -5 Substitute y 8x + 1(-5) = -171/7 8x = -136/7 x = -136/7/8 x = -17/7
Solve simultaneously: 6x + 5y = -24/5 5x + 10y = -4
6x + 5y = -24/5 5x + 10y = -4 Using elimination 5*(6x + 5y = -24/5) 6*(5x + 10y = -4) 30x + 25y = -24 30x + 60y = -24 Subtract equations -35y = 0 y = 0/-35 y = 0 Substitute y 6x + 5(0) = -24/5 6x = -24/5 x = -24/5/6 x = -4/5
Solve quickly: 4x - 68/9 = 0
4x - 68/9 = 0 4x = 68/9 x = 68/9 / 4 x = 17/9
Find x and y such that 3x + 2y = -38/5 7x + 10y = -38
3x + 2y = -38/5 7x + 10y = -38 Using elimination 7*(3x + 2y = -38/5) 3*(7x + 10y = -38) 21x + 14y = -266/5 21x + 30y = -114 Subtract equations -16y = 304/5 y = 304/5/-16 y = -19/5 Substitute y 3x + 2(-19/5) = -38/5 3x = 0 x = 0/3 x = 0
Compute the solution of 10x + 10 = 0
10x + 10 = 0 10x = -10 x = -10 / 10 x = -1
Determine x in x^3 - 73/4x^2 - 16x + 133/4 = 0
x^3 - 73/4x^2 - 16x + 133/4 = 0 (x - 19)(x - -7/4)(x - 1) = 0 x - 19 = 0 x - -7/4 = 0 x - 1 = 0 x = 19 x = -7/4 x = 1
Find x and y such that 5x + 2y = 131/5 3x + 1y = 78/5
5x + 2y = 131/5 3x + 1y = 78/5 Using elimination 3*(5x + 2y = 131/5) 5*(3x + 1y = 78/5) 15x + 6y = 393/5 15x + 5y = 78 Subtract equations 1y = 3/5 y = 3/5/1 y = 3/5 Substitute y 5x + 2(3/5) = 131/5 5x = 25 x = 25/5 x = 5
Find x and y such that 2x + 5y = 53/4 1x + 2y = 197/40
2x + 5y = 53/4 1x + 2y = 197/40 Using elimination 1*(2x + 5y = 53/4) 2*(1x + 2y = 197/40) 2x + 5y = 53/4 2x + 4y = 197/20 Subtract equations 1y = 17/5 y = 17/5/1 y = 17/5 Substitute y 2x + 5(17/5) = 53/4 2x = -15/4 x = -15/4/2 x = -15/8
Solve simultaneously: 6x + 7y = -497/5 8x + 2y = -186/5
6x + 7y = -497/5 8x + 2y = -186/5 Using elimination 8*(6x + 7y = -497/5) 6*(8x + 2y = -186/5) 48x + 56y = -3976/5 48x + 12y = -1116/5 Subtract equations 44y = -572 y = -572/44 y = -13 Substitute y 6x + 7(-13) = -497/5 6x = -42/5 x = -42/5/6 x = -7/5
Solve the equation 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