Set 17: Systems of Equations

Choice B is correct. Choice B is the correct answer. I'll use substitution. From second equation: $x = 4 y - 8$. Step 1: Substitute into first equation: 3(4 y - 8) + 2 y = 18$12y - 24 + 2 y = 1814y = 42y = 3$$ Step 2: Find x: $$x = 4(3) - 8 = 12 - 8 = 4$$ Solution: (4, 3)$Verification:$3(4) + 2(3) = 18✓ and $$4- 4(3) = -8$$ ✓ Strategic Tip: With coefficient 1 on x in second equation, substitution is efficient. Choice A is incorrect because3(3) + 2(4.5) = 18✓, but $$3- 4(4.5) = -15 \neq -8$$. Choice C is incorrect because3(2) + 2(6) = 18✓, but $$2- 4(6) = -22 \neq -8$$. Choice D is incorrect because3(5) + 2(1.5) = 18$ ✓, but $5- 4(1.5) = -1 \neq -8$.