Answer:
(2,5)
Explanation:
Pre-Solving
We are given the following system:
x + y = 7
5x - y = 5
We want to solve it by elimination. To do that, we will add or subtract the equations together to clear one of the variables, solve for the other variable, and then plug the value of the variable found to find the value of the other variable.
Before we eliminate, we need to have one of the variables have the same coefficient, but with opposite signs - we can see that is the case with the y's, so we can add the two equations together.
Solving
Add the 2 equations together.
x + y = 7
5x - y = 5
___________
6x = 12
Divide both sides by 6.
6x = 12
÷6 ÷6
___________
x = 2
Now, substitute 2 as x in either x + y = 7 or 5x - y = 5
Taking x + y = 7 for instance,
2 + y = 7
Subtract 2 from both sides.
y = 5
The answer is x = 2, y = 5. As a point, it is (2,5).