Question

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?

(2, 5)
(5, 2)
(2, 3)
(3, 2)

Answer 1

Answer:(2,3) is correct

Explanation:

Got it right on quiz

Answer 2

x+y=5
y=x/2 +2
We have to solve this system of equations:
we can solve by substitution method.
y=x/2 +2

x+(x/2 + 2)=5
2x+x+4=10 (lowest common multiplo =2)
3x=10-4
3x=6
x=6/3=2

y=x/2 +2 =2/2 +2=1+2=3

Then:
x=2 and y=3 ⇒(2,3)

Answer: the point is (2,3)