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

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)

Answer 2

Answer:(2,3) is correct

Step-by-step explanation:

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