Review the graphs of the system of these two linear equations and two variables y equals 4x - 10 and y = 2x + 8 find the solution of the system the solution of the system of equations is

1 answer

(6, 14)

To find the solution of the system of equations y = 4x - 10 and y = 2x + 8, we can set the two equations equal to each other:

4x - 10 = 2x + 8

Subtracting 2x from both sides and adding 10 to both sides, we get:

2x = 18

Dividing by 2, we find:

x = 9

Substituting x = 9 back into either equation, we find:

y = 4(9) - 10 = 36 - 10 = 26

Therefore, the solution to the system of equations is (9, 26).