review the graph 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 (___)

1 answer

To find the solution of the system of equations, we can set the two equations equal to each other:

4x - 10 = -2x + 8

Adding 2x and 10 to both sides, we get:

6x = 18

Dividing by 6, we get:

x = 3

Now, we can plug x back into either equation to find y:

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

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