The equation 13x + 1 = 5 – x can be solved by graphing y = 13x + 1 and y = 5 – x.

use the drop-down menus to complete the statement to explain why the graph can be used to solve this equation.

step 1

the graph shows that when x = {blank}, both 13x + 1 and 5 – x equal {blank}
blank options: 3, 2, (3,2)

The graph shows that when x =3 both

and 5 – x equal 2

Step-by-step explanation:

The equation 13x + 1 = 5 – x can be solved by graphing y = 13x + 1 and y = 5 – x.

From the graph, the two lines representing the two equations intersect at (3,2).

This implies that the solution to the system

and

y=5-x

is x=3, y=2

Hence the value of the two functions equals 2 at x=3.