Review the graph of a system of these two linear equations, and two variables Y= 4X -10 and Y=-2X +8 find the solution of the system

The graph of the system of equations Y=4X-10 and Y=-2X+8 is shown below:

The solution of the system can be found by setting the two equations equal to each other:

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

Plugging X=3 back into one of the equations, we can find the value of Y:

Y = 4(3) - 10
Y = 2

Therefore, the solution to the system of equations is X=3 and Y=2.