Systems of linear equations unit test

To find the solution of the system of equations, we need to find the point where the two lines intersect on the graph.

Looking at the equations y=4x-10 and y=-2x+8, we can set them equal to each other:

4x-10 = -2x+8
6x-10 = 8
6x = 18
x = 3

Now that we have the x-coordinate of the point of intersection, we can plug this back into either of the equations to find the y-coordinate:

y = 4(3) - 10
y = 12 - 10
y = 2

Therefore, the solution to the system of equations y=4x-10 and y=-2x+8 is the point of intersection at (3,2).