Question

Solving with Elimination Practice
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Question
Solve the system of equations.
2x+8y=8
2x−4y=−16(1 point)
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,
)
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Answer 1

To solve this system of equations using elimination, we can multiply the second equation by 2 to make the coefficients of x in both equations the same:

2x + 8y = 8
4x - 8y = -32

Now we can add the two equations together to eliminate the variable y:

6x = -24

Divide by 6:

x = -4

Now substitute x = -4 into one of the original equations to solve for y. Let's use the first equation:

2(-4) + 8y = 8
-8 + 8y = 8
8y = 16
y = 2

Therefore, the solution to the system of equations is (-4, 2).