solve the system of equations: 6x-5y=27 , 3x+5y=36

Answer 1

To solve this system of equations, we will use the elimination method.

1. Add the two equations to eliminate the variable y:
6x - 5y + 3x + 5y = 27 + 36
9x = 63
x = 7

2. Substitute the value of x back into one of the original equations to solve for y:
3(7) + 5y = 36
21 + 5y = 36
5y = 15
y = 3

Therefore, the solution to the system of equations is x = 7 and y = 3.