Review the graphs of a system of these two linear equations in two variables: y= 4x - 10 and y= -2x + 8. Find the solution of the system.
The solution of the system of equations is ___
(3, 2)
To find the solution of the system of equations, we can set the two equations equal to each other and solve for x:
4x - 10 = -2x + 8
6x = 18
x = 3
Now that we have the value of x, we can substitute it back into either of the original equations to find the value of y:
y = 4(3) - 10
y = 12 - 10
y = 2
Therefore, the solution of the system of equations is (3, 2). This means that the two lines intersect at the point (3, 2) on the graph.