Question

1. The ordered pair (-1, -1) is a solution of the system -4x + 2y = 2 and x + y = -2.

True
False

2. How many solutions exist for the system y = 2x + 5 and y = -0.2x - 4?

one solution

infinitely many solutions

no solution

3. How many solutions exist for the system, x + y = 1 and y = -x + 1?

infinitely many solutions

one solution

no solution

Answer 1

1: (-1,-1) is (x, y) to see if it is a solution, you would just plug in x and y and see if the equation is true.
-4 (-1) + 2(-1) = 2
4 + -2 = 2
2 = 2 CORRECT
So... plug in x and y in the second equation to Make sure it works for that one too.
-1 + -1 = -2
-2 = -2 CORRECT
So, yes. (-1,-1) is a solution to both equations.