Set 6: Systems of Equations (Intermediate)

Choice C is correct. Choice C is the correct answer. Since $y = 4 x - 3$ is already isolated, substitute directly. Step 1: Substitute into second equation: $$$5x + 2(4 x - 3) = 37$5x + 8 x - 6 = 37$13x = 43x = \frac{43}{13}$$ Non-integer. - First: $$9= 4(3) - 3 = 12 - 3 = 9$$ ✓ - Second: 5(3) + 2(9) = 15 + 18 = 33 \neq 37$Strategic Tip: When one equation is y = ..., substitution is natural. Choice A is incorrect because$5(4) + 2(13) = 46 \neq 33$. Choice B is incorrect because$5(5) + 2(17) = 59 \neq 33$. Choice D is incorrect because$5(6) + 2(21) = 72 \neq 33$.