x = 6, y = -2
Explanations:The given system of equations is:
3x + 5y = 8..................................(1)
2x - 5y = 22................................(2)
Add equations (1) and (2) together
(3x + 5y) + (2x - 5y) = 8 + 22
3x + 2x + 5y - 5y = 30
5x = 30
x = 30/5
x = 6
Substitute x = 6 into equation (1)
3x + 5y = 8
3(6) + 5y = 8
18 + 5y = 8
5y = 8 - 18
5y = -10
y = -10/5
y = -2
The solution to the system of equations is:
x = 6, y = -2
