8x+2y=-2
4x+4y=-4
what is the solution to the system

The solution to system is x = 0 and y = -1

Solution:

Given system of equations are:

-8x + 2y = -2 eqn 1

4x + 4y = -4 eqn 2

We have to solve the system of equations

We can solve the equations by elimination method

Multiply eqn 2 by 2

8x + 8y = -8 eqn 3

Add eqn 1 and eqn 3

-8x + 2y = -2

8x + 8y = -8

( + )

0x + 2y + 8y = -2 - 8

10y = -10

Divide both sides by 10

y = -1

Substitute y = -1 in eqn 1

-8x + 2(-1) = -2

-8x - 2 = -2

-8x = -2 + 2

x = 0

Thus the solution to system is x = 0 and y = -1

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