Choice C is the correct answer. The y terms are opposites, so we add the equations.
Step 1: Add the equations:
(2x+y)+(2x−y)=11+54x=16x=4
Step 2: Substitute x=4 into the first equation:
2(4)+y=118+y=11y=3
Solution: (4,3)
Verification: 2(4)−3=8−3=5 ✓
💡 Strategic Tip: Elimination is fastest when coefficients already match or are opposites.
Choice A is incorrect because2(3)+5=6+5=11 ✓, but 2(3)−5=6−5=1 eq5.
Choice B is incorrect because2(5)−1=10−1=9 eq5.
Choice D is incorrect because2(2)+7=4+7=11 ✓, but 2(2)−7=4−7=−3 eq5.