Choice C is the correct answer. Substitute the first equation into the second.

Step 1: Substitute $y = 5x - 8$ into $3x + 2y = 14$: $3x + 2(5x - 8) = 14$$3x + 10x - 16 = 14$$13x = 30$$x = \frac{30}{13}$

Non-integer. - First: $2 = 5(2) - 8 = 10 - 8 = 2$ ✓

• Second: $3(2) + 2(2) = 6 + 4 = 10 \ eq 14$

💡 Strategic Tip: When one equation is y = ..., substitution is natural.

Choice A is incorrect because$3 \ eq 5(3) - 8 = 7$.

Choice B is incorrect because$-3 = 5(1) - 8 = -3$ ✓, but $3(1) + 2(-3) = -3 \ eq 10$.

Choice D is incorrect because$12 = 5(4) - 8 = 12$ ✓, but $3(4) + 2(12) = 36 \ eq 10$.