What is 8y-8x=30,5x-12y=4 ?

The solution to 8y-8x=30,5x-12y=4 is x=-7,y=-13/4

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8y-8x=30,5x-12y=4

8 y - 8 x = 30, 5 x - 12 y = 4

x = - 7, y = - \frac{13}{4}

Solution steps

[8 y - 8 x = 30 5 x - 12 y = 4]

Isolate

y

for

8 y - 8 x = 30 : y = \frac{15 + 4 x}{4}

Substitute

y = \frac{15 + 4 x}{4}

[5 x - 12 \cdot \frac{15 + 4 x}{4} = 4]

Simplify

[- 7 x - 45 = 4]

Isolate

x

for

- 7 x - 45 = 4 : x = - 7

For

y = \frac{15 + 4 x}{4}

Substitute

x = - 7

y = \frac{15 + 4 ( - 7 )}{4}

\frac{15 + 4 ( - 7 )}{4} = - \frac{13}{4}

y = - \frac{13}{4}

The solutions to the system of equations are:

x = - 7, y = - \frac{13}{4}

x + y = 2, 2 x + 3 y = 9

10 x + y = 51, 0 y + x = 14

3 y - 4 z = 8, 2 y - z = 9

a = - 1, \frac{3}{15} b = - 2, \frac{0}{26} c = - \frac{7}{10}

x - y = 3, \frac{x}{3} + \frac{y}{2} = 6