Answer
The given ordered pair is not a solution.
Work Step by Step
We have $$2x-5y = -2$$ $$3x+4y = 4$$
Possible solution $(4,2)$
Substituting on Equation (1) $$2(4)-5(2) = -2$$ $$8 - 10 = -2$$ $$-2=-2$$
Substituting on Equation (2) $$3(4) +4(2) = 4$$ $$12+8 = 4$$ $$20\ne4$$
The given ordered pair is not a solution.