Solve the system of equations using the substituton method or the elimination method. You must use one of these methods in your written work. 4x + y = 23 y=x+8

Respuesta :

Answer:

x = 3 and y = 11 is the answer.

in graph, this is an intersecting lines which means it has one solution.

Step-by-step explanation:

4x + y = 23

y = x + 8

arranged:

4x + y = 23

-x + y = 8

4x + y = 23

4 (-x + y = 8)

4x + y = 23

-4x + 4y = 32

———————

0 + 5y = 55

5y/5 = 55/5

y = 11

substitute:

y = 11

y = x + 8

11 = x + 8

11 - 8 = x

3 = x