Set 3: Systems of Equations (Advanced)

Choice A is correct. Choice A is the correct answer. We use substitution since $x = 5 y - 1$ is already iStep 1: Substitute $x = 5 y - 1$ into $2x + 3 y = 24$: 2(5 y - 1) + 3 y = 24$10y - 2 + 3 y = 2413y = 26y = 2$$ Step 2: Find x$using$x = 5 y - 1: $$x = 5(2) - 1 = 10 - 1 = 9$$ Solution: (9, 2)$Verification:$2(9) + 3(2) = 18 + 6 = 24$✓ Strategic Tip: When x is isolated, substitute directly into the other equation. Choice B is incorrect because$2(4) + 3(1) = 8 + 3 = 11 \neq 24$. Choice C is incorrect because$2(14) + 3(3) = 28 + 9 = 37 \neq 24$. Choice D is incorrect because $6\neq 5(1.4) - 1 = 7 - 1 = 6$.