Answer
TRUE
Work Step by Step
Equation 1: $4x - 3y = 24$
Equation 2: $4x + 5y = -8$
To determine whether $(3, -4)$ is a solution of the system, we need to evaluate both equations:
Equation 1: $$4x - 3y = 24$$ $$4(3) - 3(-4) = 24$$ $$12 + 12 = 24$$ $$24=24$$ $$TRUE$$
Equation 2: $$4x + 5y = -8$$ $$4(3) + 5(-4) = -8$$ $$12 -20 =-8$$ $$-8=-8$$ $$TRUE$$
Since point $(3,-4)$ satisfied both equations, therefore it is a solution of the system.
