Choice D is the correct answer. Multiply first by 2 and add to second.
Step 1: Multiply first by 2:
2x+2y=18
Step 2: Add to second:
(2x+2y)+(3x−2y)=18+75x=25x=5
Step 3: Substitute:
5+y=9⇒y=4
Solution: (5,4)
Verification: 3(5)−2(4)=15−8=7 ✓
💡 Strategic Tip: Multiplying by 2 creates +2y to cancel −2y.
Choice A is incorrect because3(6)−2(3)=12 eq7.
Choice B is incorrect because3(4)−2(5)=2 eq7.
Choice C is incorrect because3(7)−2(2)=17 eq7.