Choice D is the correct answer. The $5y$ terms are opposites, so we add the equations.

Step 1: Add the equations: $(2x + 5y) + (2x - 5y) = 29 + 11$$4x = 40$$x = 10$

Step 2: Substitute $x = 10$ into the first equation: $2(10) + 5y = 29$$20 + 5y = 29$$5y = 9$$y = \frac{9}{5}$

Solution: $(10, \frac{9}{5})$

Verification: $2(10) - 5(\frac{9}{5}) = 20 - 9 = 11$ ✓

💡 Strategic Tip: Fractional answers appear frequently on standardized tests.

Choice A is incorrect because$2(9) + 5(\frac{11}{5}) = 18 + 11 = 29$ ✓, but $2(9) - 11 = 7 \ eq 11$.

Choice B is incorrect because$2(12) + 5(1) = 24 + 5 = 29$ ✓, but $2(12) - 5(1) = 19 \ eq 11$.

Choice C is incorrect because$2(7) + 5(3) = 14 + 15 = 29$ ✓, but $2(7) - 5(3) = 14 - 15 = -1 \ eq 11$.