1. (08.02)A pair of equations is shown below.
x + y = 5
y = one halfx + 2
If the two equations are graphed, at what point do the lines representing the two equations intersect?
A. (2,5)
B. (5, 2)
C. (2, 3)
D. (3, 2)

Respuesta :

Answer:

(2,3)

Step-by-step explanation:

Given : [tex]x + y = 5[/tex]

           [tex]y=\frac{x}{2}+2[/tex]

To find: what point do the lines representing the two equations intersect

Solution:

[tex]x + y = 5[/tex]

[tex]y=\frac{x}{2}+2[/tex]

Plot the lines on the graph

Green line denotes  [tex]x + y = 5[/tex]

Purple line denotes [tex]y=\frac{x}{2}+2[/tex]

So, Intersection point = (2,3)

Refer the attached figure

So, option C is true

Hence Intersection point is (2,3)

Ver imagen wifilethbridge