Question

The system of equations is graphed on the coordinate plane.

y=−x−2
y=3x+2

Enter the coordinates of the solution to the system of equations in the boxes.

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Answer 1

Hello there!

Y = -x - 2
Y = 3x + 2

We need to substitute -x -2 for y in y = 3x + 2
-x - 2 = 3x + 2
-x = 3x + 2 + 2
-x = 3x + 4
-x - 3x = 4
-4x = 4
x = 4/-4
x = -1

Then substitute -1 for x in y = -x -2
y = -x -2
y = -(-1)-2
y = 1 - 2
y = -1

The answer is y = -1 and x =-1


So in the box, you should put (-1, -1)

I hope this helps!