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Start with the given system
into the first equation. In other words, replace each
. Notice we've eliminated the
variables. So we now have a simple equation with one unknown.
Distribute the negative
Combine like terms on the left side
Subtract 4 from both sides
Combine like terms on the right side
Divide both sides by 2 to isolate x
Now that we know that
, we can plug this into
So our answer is
which also looks like
Notice if we graph the two equations, we can see that their intersection is at
. So this verifies our answer.