Answer
Inconsistent.
Work Step by Step
40$x_{1}$ + 30$x_{2}$ = 24
20$x_{1}$ + 15$x_{2}$ = -14
Multiply second equation by (-2) then add it to the first.
40$x_{1}$ + 30$x_{2}$ = 24
-40$x_{1}$ - 30$x_{2}$ = 28
0 = 52
0 $\ne$ 52, so it has no solution