# Determine the x-value of the point of intersection for the systemrepresented by...f(x) =3 andg(x) = 5/2x + 1

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Expert Answers

thilina-g | Certified Educator

`f(x) = 3`

`g(x) = 5/2x + 1 `

I am assuming it is `g(x) = 5/2x+1`

At the point of intersection,

`x = a`

`f(a) = g(a)`

`3 = 5/2a+1`

`2 = 5/2 a`

`4 = 5a`

`a = 4/5 = 0.8`

Therefore at the point of intersection, `x = 0.8`

**Or if you have mentioned it as,**

`g(x) = 5/(2x+1)`

`3 = 5/(2x+1)`

`2x+1 = 5/3`

`2x = 5/3 -1`

`2x = 2/3`

`x = 1/3`