ANSWER
x = 2
Step-by-step explanation
We have two graphs in the picture.
Each of them represents a linear function:
y = x
and
x + 2y = 6
For the graphs, the value of x that satisfies the linear equations is that value of x such that the value of y in the two equations are equal.
A simple way of obtaining it is to look at where the two graphs intersect one another and note the value of x.
From the graph, the value of x where the two lines intersect is 2.
So, the value of x that satisfies the equations is x = 2.
Note: One way to verify this is to put the value of x = 2 in both equations