Answer
$\text{The system of equations is inconsistent and has no solutions.}$
Work Step by Step
We need to solve the given system of equations:
$$9x-5y=2 ~~~(1) \\ -18x+10y=1 ~~~(2)$$
Multiply first equation by $2$ and then first equation is equivalent to:
$$18x-10y=2 ~~~~(3)$$
Add equations (2) and (3) to eliminate $x$ and then solve for $y$.
$$-18x+10y+18x-10y=1+2\\ 0=3 $$
Since $0$ never equals $3$, the system of equations is inconsistent and has no solutions.
