Set 12: Systems of Equations

Choice B is correct. Choice B is the correct answer. Isolate $x$ from the first equation. Step 1: From $x + 4 y = 22$: $x = 22 - 4 y$ Step 2: Substitute into the second equation: 3(22 - 4 y) - 2 y = 10$66- 12 y - 2 y = 1066- 14 y = 10-14 y = -56y = 4$$ Step 3: Find x: $$x = 22 - 4(4) = 22 - 16 = 6$$ Solution: (6, 4)$Verification:$3(6) - 2(4) = 18 - 8 = 10$✓ Strategic Tip: Isolating$x$was easier here since its coefficient is 1 in the first equation. Choice A is incorrect because$3(8) - 2(3.5) = 24 - 7 = 17 \neq 10$. Choice C is incorrect because$3(5) - 2(4.25) = 15 - 8.5 = 6.5 \neq 10$. Choice D is incorrect because$3(7) - 2(3.75) = 21 - 7.5 = 13.5 \neq 10$.