- For problem 1: Solve 8x = 40 to get x = 5. Substitute x = 5 into 7x + 4y = 59, giving 35 + 4y = 59. Solving for y gives 4y = 24, so y = 6.
- For problem 2: Solve 7x = 21 to get x = 3. Substitute x = 3 into 5x - 4y = 11, giving 15 - 4y = 11. Solving for y gives -4y = -4, so y = 1.
- For problem 3: Solve 7x = 7 to get x = 1. Substitute x = 1 into 8x - 2y = -8, giving 8 - 2y = -8. Solving for y gives -2y = -16, so y = 8.
- For problem 4: Solve 7x = 35 to get x = 5. Substitute x = 5 into 2x - 4y = 6, giving 10 - 4y = 6. Solving for y gives -4y = -4, so y = 1.
- For problem 5: Solve 5x = 5 to get x = 1. Substitute x = 1 into 8x - 2y = 0, giving 8 - 2y = 0. Solving for y gives -2y = -8, so y = 4.
- For problem 6: Solve 2x = 10 to get x = 5. Substitute x = 5 into 6x + 5y = 45, giving 30 + 5y = 45. Solving for y gives 5y = 15, so y = 3.
- For problem 7: Solve 2x = 10 to get x = 5. Substitute x = 5 into 2x - 5y = 5, giving 10 - 5y = 5. Solving for y gives -5y = -5, so y = 1.
- For problem 8: Solve 6x = 18 to get x = 3. Substitute x = 3 into 4x + 6y = 66, giving 12 + 6y = 66. Solving for y gives 6y = 54, so y = 9.
Parent Tip: Review the logic above to help your child master the concept of two variable equations worksheet.
