Question

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)

Answer 1

Got it right on imagine math.

Explanation:

Answer 2

The graph shows that when x =3 both

`(1)/(3)x + 1`

and 5 – x equal 2

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

`y = (1)/(3) x + 1`

and

y=5-x

is x=3, y=2

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