Question

Is the point (3 , -2) a solution to the following system of equations?

Answer 1

Yes, (3, -2) is a solution of the system

Step-by-step explanation:

The point (3, -2) is a solution of the system if it satisfies both equations.

So, we need to replace x by 3 and y by -2 as:

For y = 2x - 8, we get:

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2

For y = x - 5, we get:

-2 = 3 - 5

-2 = -2

Since both equations are satisfied, we can say that (3, -2) is a solution of the system.