The solution to the given system of equations is the point (1, 5).
How to solve the system of equations?
Here we have the system of equations:
g(x) = 3x + 2
f(x) = |x - 4| + 2
To solve this, first you can see where the graphs intercept on the graph (the intercept point is the solution to the system)
But we can also solve it analytically. To do it, we have:
g(x) = f(x)
3x + 2 = |x - 4| + 2
3x = |x - 4|
Notice that the only solution of the above equation is x = 1, so we know that it is the x-value of the solution.
To get the y-value, we just evaluate one of the two given functions on x = 1.
f(1) = |1 - 4| + 2= 3 + 2 = 5
Then the solution to the system is the point (1, 5).
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
