Answer
No solution; parallel lines.
Work Step by Step
We use the addition method:
We add the 2 equations:
$4x+7y=9$
$12x+21y=12$
Multiply both sides of the first equation by $-3$ to cancel $x$.
$-12x-21y=-27$
$\underline{+12x+21y=+12}$
$0=-15$
This is a false statement. Thus, the two equations are parallel. No solution.
