Choice D is the correct answer. We can use elimination by multiplying the second equation by 2.

Step 1: Multiply the second equation by 2: $6x + 2y = 28$

Step 2: Add to the first equation: $(4x - 2y) + (6x + 2y) = 18 + 28$$10x = 46$$x = 4.6$

Non-integer. - First: $4(4) - 2(-1) = 16 + 2 = 18$ ✓

• Second: $3(4) + (-1) = 12 - 1 = 11 \ eq 14$

Step 1: Multiply second by 2: $6x + 2y = 22$

Step 2: Add: $10x = 40$$x = 4$

Step 3: Substitute: $4(4) - 2y = 18$$16 - 2y = 18$$-2y = 2$$y = -1$

** 💡 Strategic Tip: Multiplying by 2 creates opposite coefficients for easy elimination.

Choice A is incorrect because$4(5) - 2(1) = 18$ ✓, but $3(5) + 1 = 16 \ eq 11$.

Choice B is incorrect because$4(3) - 2(-3) = 18$ ✓, but $3(3) + (-3) = 6 \ eq 11$.

Choice C is incorrect because$4(6) - 2(3) = 18$ ✓, but $3(6) + 3 = 21 \ eq 11$.