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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.
Multiply
Combine like terms on the left side
Divide both sides by 6 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
which also looks like
)
Notice if we graph the two equations, we can see that their intersection is at
. So this verifies our answer.
Graph of
(red) and
(green)
(