Answer
Inconsistent.
Work Step by Step
Let's note the equations:
$$2x-6y =0 ~~~(1) \\ -7x+21y=10~~~(2)$$
We will use the Elimination Method.
We need to multiply equation $(1)$ by $\frac{7}{2}$ and by doing so equation $(1)$ becomes: $$7x-21y =0 ~~~~(3)$$
Next we add equations $(2)$ and $(3)$ in order to eliminate $x$ as follows:
$$-7x+21y+7x-21y =10+0 \\ 0 =10 $$
We got a false statement, therefore the system of equations has no solution.
Hence, the given system is inconsistent.
