Answer
The system of equations is inconsistent and has no solutions.
Work Step by Step
The systems of equations are written as:
$2x+5y=6 ~~~(1) \\4x+y=9 ~~~(2)$
Multiply equation -(1) by $-2$ to get:
$-4x-y=-12 ~~~~(3)$
Add equation (2) and (3) to obtain $ -4x-y+4x+y=9-12 \\ 0=-3$
Since 0 never equals -3, the system of equations is inconsistent and has no solutions.
