You can
put this solution on YOUR website!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.
Combine like terms on the left side
Subtract 8 from both sides
Combine like terms on the right side
Since this equation is
never true for any y value, this means there are no solutions.
Notice if we graph the two equations, we can see that the two lines are parallel and will never intersect. So this verifies our answer.
Graph of
(red) and
(green)
(