#### Answer

not a solution

#### Work Step by Step

Plug (-5,2) into the equations to see if it is a solution
2x+3y=-4
2(-5)+3(2)=-4
-10+6=-4
-4=-4
x-4y=-10
(-5)-4(2)=-10
-5-8=-10
-13$\ne$-10
The ordered pair is not a solution of the second equation therefore it is not a solution of the system.