Choice A is the correct answer. We use substitution since x=5y−1 is already iStep 1: Substitute x=5y−1 into 2x+3y=24:
2(5y−1)+3y=2410y−2+3y=2413y=26y=2
Step 2: Find x using x=5y−1:
x=5(2)−1=10−1=9
Solution: (9,2)
Verification: 2(9)+3(2)=18+6=24 ✓
💡 Strategic Tip: When x is isolated, substitute directly into the other equation.
Choice B is incorrect because2(4)+3(1)=8+3=11 eq24.
Choice C is incorrect because2(14)+3(3)=28+9=37 eq24.
Choice D is incorrect because6 eq5(1.4)−1=7−1=6.