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To find the solution of the system of equations, we can set the two equations equal to each other:
4X - 10 = -2X + 8
Now, we can solve for X:
4X + 2X = 10 + 8
6X = 18
X = 3
Now that we have found the value of X, we can substitute it back into either of the original equations to solve for Y. Let's use the first equation:
Y = 4(3) - 10
Y = 12 - 10
Y = 2
Therefore, the solution to the system of equations is X = 3 and Y = 2. The two lines intersect at the point (3, 2) on the graph.