Answer
The system of equations has infinitely many solutions.
Work Step by Step
The system of equations are written as:
$x+5y=9 ~~~(1) \\ 2x+10y=18 ~~~(2)$
Multiply Equation -(1) by $-2$ to get:
$-2x-10y=-18 ~~~~(3)$
Add equations (2) and (3) to eliminate $x$.
$-2x-10y+2x+10y=18-18 \\ 0=0 $
This implies that the system of equations has infinitely many solutions.
