Question

The y-coordinate of the solution to:
y=-x+2
y=x+4

Answer 1

To solve this system of equations, we can set the two equations equal to each other since the y-coordinate of the solution will be the same for both equations:

-x + 2 = x + 4

Now we can solve for x by performing the necessary operations:

2x = -2
x = -1

To find the y-coordinate of the solution, we can substitute the value of x into either of the original equations. Let's substitute x = -1 into the first equation:

y = -(-1) + 2
y = 1 + 2
y = 3

Therefore, the solution to the system of equations is (-1, 3), where the y-coordinate is 3.