.
2x - y = 4, (1)
x + y = 5. (2)
Add the two equations. The "y"-s will cancel and you will get a single equation for only one unknown x:
2x + x = 4 + 5 = 9 ====> 3x = 9 ===> x =
= 3.
Thus you just found one unknown, x. It is 3.
Next, to find y, substitute x= 3 into equation (2) and get
y = 5 - x = 5 - 3 = 2.
Answer. The solution is xx = 3, y = 2.
Solved.
It is how the Elimination method works.