Set 1: Systems of Equations

Choice B is correct. Choice B is the correct answer. Since $x = 2 y + 5$ is already isolated, substitute. Step 1: Substitute into first: 2(2 y + 5) - 3 y = 11$4y + 10 - 3 y = 11$y = 1 Step 2: Find x: $x = 2(1) + 5 = 7$ Solution: $(7, 1)$ Verification: $2(7) - 3(1) = 14 - 3 = 11$ ✓ Strategic Tip: When x is isolated, substitute directly. Choice A is incorrect because $2(9) - 3(2) = 12 \neq 11$. Choice C is incorrect because $2(11) - 3(3) = 13 \neq 11$. Choice D is incorrect because $2(5) - 3(0) = 10 \neq 11$.