Choice B is the correct answer. Multiply second equation by 3 and add to first.
Step 1: Multiply second by 3:
6x−3y=15
Step 2: Add to first:
(5x+3y)+(6x−3y)=29+1511x=44x=4
Step 3: Substitute:
2(4)−y=5⇒y=3
Solution: (4,3)
Verification: 5(4)+3(3)=29 ✓ and 2(4)−3=5 ✓
💡 Strategic Tip: Multiplying by 3 creates −3y to cancel +3y.
Choice A is incorrect because2(7)−(−2)=16 eq5.
Choice C is incorrect because5(5)+3(34)=29 ✓, but 2(5)−34 eq5.
Choice D is incorrect because5(3)+3(314)=29 ✓, but 2(3)−314 eq5.