Question

What is the value of x that satisfies the equations?

Answer 1

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