Choice B is the correct answer. I'll use substitution. From second equation: x=4y−8.
Step 1: Substitute into first equation:
3(4y−8)+2y=1812y−24+2y=1814y=42y=3
Step 2: Find x:
x=4(3)−8=12−8=4
Solution: (4,3)
Verification: 3(4)+2(3)=18 ✓ and 4−4(3)=−8 ✓
💡 Strategic Tip: With coefficient 1 on x in second equation, substitution is efficient.
Choice A is incorrect because3(3)+2(4.5)=18 ✓, but 3−4(4.5)=−15 eq−8.
Choice C is incorrect because3(2)+2(6)=18 ✓, but 2−4(6)=−22 eq−8.
Choice D is incorrect because3(5)+2(1.5)=18 ✓, but 5−4(1.5)=−1 eq−8.