Question

Solve the system of equations by graphing.

−2x
−2y
=20
2x
− y
=−8
Question content area bottom left
Part 1
Use the graphing tool to graph the system.

Part 2
Select the correct choice below and fill in any answer boxes present in your choice.
A.
The solution of the system of equations is enter your response here.
​(Type an ordered​ pair.)
B.
There are infinitely many solutions.
C.
There is no solution.

Answer 1

There is one solution to the system of equations.

Explanation:

When you graph -2x-2y = 20 and 2x-y = -8 on a graphing calculator/tool for Part 1, you will see that an intersection is presented at the point (-6, -4). This means that the two equations have the same value at the point (-6, -4).

Thus, to answer Part 2, the solution of the system of equations has one solution: (-6, -4).

Hope this helps!