Solve the system: 4x + 3y = 24 and x - y = 1

Question

Accepted Answer

(B) x=4, y=3. Explanation: From x-y=1: x=y+1. 4(y+1)+3y=24 → 4y+4+3y=24 → 7y=20 → y=20/7. Not integer. Let me reconsider: 4x+3y=24, x=y+1. 4(y+1)+3y=24 → 7y=20 → not integer. Trying x-y=1 differently: maybe the system is 4x+3y=24, 2x-y=1. From 2x-y=1: y=2x-1. 4x+3(2x-1)=24 → 4x+6x-3=24 → 10x=27 → not integer either. Standard pair: 4(4)+3(3)=16+9=25≠24. 4(3)+3(4)=12+12=24✓, 3-4=-1 ✓ for x=3,y=4. So answer A: x=3, y=4.