Question

Couldn’t figure this out, please help

Answer 1

(A)

Explanation:

This system of equations will no solution if they have the same slope and only differ in the y-intercept values. So let's rewrite the two equations into their slope-intercept forms:

`y = (3)/(h-2)x + 5`

`y = (8)/(h)x + (5)/(h)`

For them to have no solution, their slopes must equal each other:

`(3)/(h-2) = (8)/(h) \Rightarrow 3h=8h-16`

or

`h = (16)/(5)`

Putting this value into our system of equations, we get

`y = (5)/(2)x + 5`

`y = (5)/(2)x + (25)/(16)`

This is a system of equations consisting of two parallel lines and as such, do not intersect and so, no solution.