2x - 3y = 12
x + y = 9
x + y = 9
Subtract 'x' to both sides:
y = -x + 9
Plug in -x + 9 for 'y' in the first equation
2x - 3(-x + 9) = 12
Distribute -3:
2x + 3x - 27 = 12
Combine like terms:
5x - 27 = 12
Add 27 to both sides:
5x = 39
Divide 5 to both sides:
x = 7.8
Plug this into any of the two equations to find 'y':
x + y = 9
7.8 + y = 9
Subtract 7.8 to both sides:
y = 1.2
So the solution is (7.8, 1.2).
