Answer:
(2,0)
Explanation:
Pre-Solving
We are given the following system:
4x + 5y=8
4x − 5y=8
We want to solve it by addition, where we add the two equations together, then evaluate the remaining equation. We'll find the value of one of the variables, then use that value to find the value of the other one.
Solving
Add the two equations together.
4x + 5y = 8
4x - 5y = 8
_____________-
8x = 16
Divide both sides by 8
x = 2
Substitute 2 as x in either 4x + 5y = 8 or 4x - 5y = 8.
Taking 4x + 5y = 8 for example:
4(2) + 5y = 8
8 + 5y = 8
Divide both sides by 8.
5y = 0
y = 0
The answer is x=2, y=0. As a point, that is (2, 0).