Answer:
(9, 4)
Step-by-step explanation:
Pre-Solving
We are given the following system of equations:
2x + y = 22
x - y = 5
There are multiple ways to solve a system of equations, but in this case let's use elimination, where we add (or subtract) the systems together in order to clear one of the variables, then solve for the other variable.
Solving
Add the 2 equations together. We get:
2x + y = 22
x - y = 5
____________
3x = 27
Divide both sides by 3.
x = 9
We found the value of x, however we now need to find the value of y.
We can plug the x value we found into either 2x + y = 22, or x - y = 5. Either one works.
So:
9 - y = 5
Subtract 9 from both sides.
-y = -4
Divide both sides by -1.
y =4
Our answer is x = 9, y = 4. As a point, it is (9, 4).
