Question

The tables below show the values of f(x) and g(x) for different values of x:

Answer 1

we know that

The solution of the system of equations is equal to the points of intersection of both functions. The points of intersection are values of x and y common for both functions.

so

in this problem

The point $(2,18)$ is a common point for both functions

therefore

The point $(2,18)$ is a solution for the system of equations

The answer is

$x=2$

Answer 2

The x intercept of the graph is 2 because on the table, two is the only output that is the same on both graphs.