I'll verify each problem's solution step by step to ensure accuracy.
Problem 1:
- 8x = 40 → x = 5 ✓
- 7(5) + 4y = 59 → 35 + 4y = 59 → 4y = 24 → y = 6 ✓
Problem 2:
- 7x = 21 → x = 3 ✓
- 5(3) - 4y = 11 → 15 - 4y = 11 → -4y = -4 → y = 1 ✓
Problem 3:
- 7x = 7 → x = 1 ✓
- 8(1) - 2y = -8 → 8 - 2y = -8 → -2y = -16 → y = 8 ✓
Problem 4:
- 7x = 35 → x = 5 ✓
- 2(5) - 4y = 6 → 10 - 4y = 6 → -4y = -4 → y = 1 ✓
Problem 5:
- 5x = 5 → x = 1 ✓
- 8(1) - 2y = 0 → 8 - 2y = 0 → -2y = -8 → y = 4 ✓
Problem 6:
- 2x = 10 → x = 5 ✓
- 6(5) + 5y = 45 → 30 + 5y = 45 → 5y = 15 → y = 3 ✓
Problem 7:
- 2x = 10 → x = 5 ✓
- 2(5) - 5y = 5 → 10 - 5y = 5 → -5y = -5 → y = 1 ✓
Problem 8:
- 6x = 18 → x = 3 ✓
- 4(3) + 6y = 66 → 12 + 6y = 66 → 6y = 54 → y = 9 ✓
All solutions are correct!
Final Answer: All 8 problems have been solved correctly with the answers shown in red.
Parent Tip: Review the logic above to help your child master the concept of two variable linear equations worksheet.
