What is 8x+6y=10,-3x+6y=-12 ?

The solution to 8x+6y=10,-3x+6y=-12 is x=2,y=-1

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8x+6y=10,-3x+6y=-12

8 x + 6 y = 10, - 3 x + 6 y = - 12

x = 2, y = - 1

Solution steps

[8 x + 6 y = 10 - 3 x + 6 y = - 12]

Isolate

x

for

8 x + 6 y = 10 : x = \frac{5 - 3 y}{4}

Substitute

x = \frac{5 - 3 y}{4}

[- 3 \cdot \frac{5 - 3 y}{4} + 6 y = - 12]

Simplify

[\frac{- 15 + 33 y}{4} = - 12]

Isolate

y

for

\frac{- 15 + 33 y}{4} = - 12 : y = - 1

For

x = \frac{5 - 3 y}{4}

Substitute

y = - 1

x = \frac{5 - 3 ( - 1 )}{4}

\frac{5 - 3 ( - 1 )}{4} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = - 1

4 x - 7 y = 3, - 2 x - 2 y = - 18

x + y + z = 4, 2 x + 5 y - 2 z = 3

- 5 x + y = 6, 5 x - 7 y = 18

72 x + 3 y = 6, 3 x - 2 y = 7

- 7 x + 6 y = - 2, 9 x + 3 y = 8