Answer
The system of linear equations has no solution.
Work Step by Step
The given system of equations is
$9x-15y=24$ ...... (1)
$6x-10y=-16$ ...... (2)
Multiply equation (1) by $-2$.
$-2(9x-15y)=-2(24)$
Use distributive property.
$-18x+30y=-48$ ...... (3)
Multiply equation (2) by $3$.
$3(6x-10y)=3(-16)$
Use distributive property.
$18x-30y=-48$ ...... (4)
Add equation (3) and (4).
$\Rightarrow -18x+30y+18x-30y=-48-48$
Add like terms.
$\Rightarrow 0=-96$
The equation $0=-96$ is never true.
Hence, the system of linear equations has no solution.
