Question

The system of equations is graphed on the coordinate plane.

y=x−1
y=−2x−4

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

Answer 1

Answer is (-1, -2)
Step by step
You have two equations
y= x -1 (we will call equation A)
y= -2x-4 (we will call equation B)
Substitute equation A for the “y” value in equation B

x-1 = -2x -4
We need to isolate x to one side of the = so first we will add 1 to both sides
x-1+1 = -2x -4 +1
Combine like terms
x = -2x -3
Now add 2x to both sides
2x + x = -2x +2x -3
Combine like terms
3x = -3
Now solve for x by dividing both sides by 3
3/3x = -3/3
X= -1

Now we can solve for “y” by substituting our “x” value into equation A

y = -1 -1
y = -2

Now you can check your work by substituting your x and y values into with equation

A (-2) = -1 -1
A -2 = -2

B -2 = -2(-1) -4
B -2 = -2

Problem solved and graph is correct - see attached

Answer 2

(-1,-2)

Explanation:

Hello!

The solution to the system is at the intersection between the two graphed lines.

Remember that a coordinate is written in (x,y) format, so we take the x-value of the points and the y-value of the point.

The coordinate is (-1, -2).