Answer
The given ordered pair is not a solution.
Work Step by Step
We have $$4x+5y=-7$$ $$-8x=3y-1$$
Possible solution $(\frac{3}{4},-2)$
Substituting on Equation (1) $$4*\frac{3}{4}+5*(-2) = -7$$ $$3-10=-7$$ $$-7=-7$$
Substituting on Equation (2) $$-8*\frac{3}{4} = 3*(-2) -1$$ $$-6=-6-1$$ $$-6\ne-7$$
The given ordered pair is not a solution.