Question

Solve the simultaneous equation -
7x-6y=30
2x+6y=24

Answer 1

The solution to the simultaneous equations 7x - 6y = 30 and 2x + 6y = 24 is found by adding both equations to eliminate y, resulting in x = 6, and then substituting x back into one of the equations to find y = 2.

Step-by-step explanation:

To solve the given simultaneous equations:

7x - 6y = 30

2x + 6y = 24

1. Eliminate one variable by adding the two equations together. In this case, add the two equations to eliminate y:
2. 7x - 6y + 2x + 6y = 30 + 24
3. 9x = 54
4. Divide both sides of the equation by 9 to solve for x:
5. x = 6
6. Substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:
7. 7(6) - 6y = 30
8. 42 - 6y = 30
9. -6y = 30 - 42
10. -6y = -12
11. Divide both sides of the equation by -6 to solve for y:
12. y = 2
13. The solution to the simultaneous equations is x = 6 and y = 2.