Choice C is the correct answer. Since x=4y is already isolated, we can substitute it into the second equation.
Step 1: Substitute x=4y into 2x+3y=55:
2(4y)+3y=558y+3y=5511y=55y=5
Step 2: Find x using x=4y:
x=4(5)=20
Solution: (20,5)
Verification: 2(20)+3(5)=40+15=55 ✓
💡 Strategic Tip: When a variable is isolated, substitution is straightforward and efficient.
Choice A is incorrect because2(16)+3(4)=32+12=44 eq55.
Choice B is incorrect because2(24)+3(6)=48+18=66 eq55.
Choice D is incorrect because2(12)+3(3)=24+9=33 eq55.