What is 8x+7y=10,11x=10-10y ?

The solution to 8x+7y=10,11x=10-10y is x=10,y=-10

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8x+7y=10,11x=10-10y

8 x + 7 y = 10, 11 x = 10 - 10 y

x = 10, y = - 10

Solution steps

[8 x + 7 y = 10 11 x = 10 - 10 y]

Isolate

x

for

8 x + 7 y = 10 : x = \frac{10 - 7 y}{8}

Substitute

x = \frac{10 - 7 y}{8}

[11 \cdot \frac{10 - 7 y}{8} = 10 - 10 y]

Simplify

[\frac{11 ( 10 - 7 y )}{8} = 10 - 10 y]

Isolate

y

for

\frac{11 ( 10 - 7 y )}{8} = 10 - 10 y : y = - 10

For

x = \frac{10 - 7 y}{8}

Substitute

y = - 10

x = \frac{10 - 7 ( - 10 )}{8}

\frac{10 - 7 ( - 10 )}{8} = 10

x = 10

The solutions to the system of equations are:

x = 10, y = - 10

2 x + 3 y = 12, x - y = 1

3 y - 7 x = - 29, 7 x + 11 y = 1

7 x + 2 y = 31, 5 x + 3 y = 30

4 x - 3 y + 4 = 0, 4 x + 3 y - 20 = 0

5 x - 3 y = 20, 9 y - 4 x = 17