Choice C is the correct answer. Let's use elimination by multiplying the second equation by 2.

Step 1: Multiply the second equation by 2: $6x + 2y = 26$

Step 2: Add to the first equation: $(6x - 2y) + (6x + 2y) = 14 + 26$$12x = 40$$x = \frac{10}{3}$

Non-integer. - First: $6(3) - 2(4) = 18 - 8 = 10 \ eq 14$

• Second: $3(3) + 4 = 13$ ✓

$6(3) - 2(4) = 10$, so $6x - 2y = 10$.

Step 1: Multiply second by 2: $6x + 2y = 26$

Step 2: Add to first: $12x = 36$$x = 3$

Step 3: Substitute: $3(3) + y = 13$$y = 4$

Solution: $(3, 4)$

Verification: $6(3) - 2(4) = 10$ ✓ and $3(3) + 4 = 13$ ✓

💡 Strategic Tip: Multiplying to match coefficients is often faster than isolating variables.

**Choice A is incorrect—this was the intermediate calculation error.

Choice B is incorrect because$6(2) - 2(-1) = 14$ ✓, but $3(2) + (-1) = 5 \ eq 13$.

Choice D is incorrect because$6(4) - 2(1) = 22 \ eq 10$.