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Start with the given system

Plug in

into the first equation. In other words, replace each

with

. Notice we've eliminated the

variables. So we now have a simple equation with one unknown.

Distribute

Combine like terms on the left side

Subtract 14 from both sides

Combine like terms on the right side

Divide both sides by -2 to isolate x

Divide
Now that we know that

, we can plug this into

to find

Substitute

for each

Simplify
So our answer is

and