Answer
Solution: $\{ \}$ or empty set.
No solution.
Work Step by Step
$4x-7y = 7 $ Equation $(1)$
$12x-21y = 24 $ Equation $(2)$
Multiply Equation $(1)$ by $-3$. Add both equations.
$-12x+21y = -21$ Equation $(3)$
Add Equation $(2)$ and Equation $(3)$
$12x-12x-21y+21y = 24-21$
$0=3$
The resulting equation is a false statement for all values of $x$ or $y$.
So, the system has no solutions. The system of equations are parallel lines.
