Choice A is the correct answer. Since y=2x−7 is already isolated, substitute directly into the second equation.
Step 1: Substitute y=2x−7 into 4x−3y=5:
4x−3(2x−7)=54x−6x+21=5−2x+21=5−2x=−16x=8
Step 2: Find y:
y=2(8)−7=16−7=9
Solution: (8,9)
Verification: 4(8)−3(9)=32−27=5 ✓
💡 Strategic Tip: When y is isolated, substitution eliminates the need for algebraic manipulation of the first equation.
Choice B is incorrect because4(5)−3(3)=20−9=11 eq5.
Choice C is incorrect because4(7)−3(7)=28−21=7 eq5.
Choice D is incorrect because4(6)−3(5)=24−15=9 eq5.