You can
put this solution on YOUR website!I'm going to use substitution to solve the system.
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 5 from both sides
Combine like terms on the right side
Divide both sides by -1 to isolate y
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 (you have to solve for "y" for each equation first), we can see that their intersection is at
. So this verifies our answer.
Graph of
(red) and
(green)
(