Ihave a quiz and i don't know much algebra! lashawn solved the equation below to the determine the solution. 3x-8= - x + 4(x-2) how many solutions does lashawn’s equation have? zero one two infinitely many

Let's expand both sides of the equation:

Simplify the right hand side:

This is an identity, i.e. the expression in both sides are identical. This means that, whatever value for x you choose, the expression will be true.

So, there are infinitely many solutions, since every possibile value for x is a solution for this equation.

the answer to the question is a  

it has the same slope and the same y-intercept.

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !