The system of equations is graphed on the coordinate plane.

y=x−1y=−2x−4

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

(
, ​
)

A graph with a blue line passing through coordinates (-2, 0), (-1, -2) and (0, -4) and a red line passing through coordinates (-1, -2), (0, -1) and (1, 0).

1 answer

To find the solution to the system of equations y=x1 and y=2x4, we need to determine where the two lines intersect.

  1. Set the equations equal to each other:

    x1=2x4

  2. Solve for x:

    x+2x=4+1 3x=3 x=1

  3. Substitute x=1 back into one of the original equations to find y. We'll use y=x1:

    y=11=2

Thus, the coordinates of the solution to the system of equations are:

(1,2)

So, the answer is:

(1,2)