The linear equation y = x + 2 is shown graphed below . If it creates a system with the linear equation y = - 3x - 2 , which of the following would be the y - coordinate of the solution ?
No graph. Cannot copy and paste here.
the solution would be where
y-2 = -(y+2)/3
To find the y-coordinate of the solution to the system of equations y = x + 2 and y = -3x - 2, we need to find the intersection point of the two lines. The y-coordinate of the solution will be the same for both equations at that point.
First, let's set the two equations equal to each other:
x + 2 = -3x - 2
Next, let's solve for x:
4x = -4
Divide both sides by 4:
x = -1
Now substitute this value of x back into either of the original equations to find the corresponding y-coordinate:
y = -1 + 2
y = 1
Therefore, the y-coordinate of the solution to the system of equations is 1.