Choice C is the correct answer. The $y$ terms are opposites ($+y$ and $-y$), so we can add the equations to eliminate $y$.

Step 1: Add the two equations: $(x + y) + (x - y) = 7 + 3$$2x = 10$$x = 5$

Step 2: Substitute $x = 5$ into the first equation: $5 + y = 7$$y = 2$

Solution: $(5, 2)$

Verification: $5 + 2 = 7$ ✓ and $5 - 2 = 3$ ✓

💡 Strategic Tip: When coefficients of a variable are opposites, adding the equations eliminates that variable immediately.

Choice A is incorrect because$4 - 3 = 1 \ eq 3$.

Choice B is incorrect because$6 + 1 = 7$ ✓, but $6 - 1 = 5 \ eq 3$.

Choice D is incorrect because this swaps the $x$ and $y$ values from the correct answer.