Question

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)

Answer 1

(2,3)

Explanation:

Given :
`x + y = 5`

`y=(x)/(2)+2`

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

Solution:

`x + y = 5`

`y=(x)/(2)+2`

Plot the lines on the graph

Green line denotes
`x + y = 5`

Purple line denotes
`y=(x)/(2)+2`

So, Intersection point = (2,3)

Refer the attached figure

So, option C is true

Hence Intersection point is (2,3)