Question

Solve for x.
Really easy!! I need quick help tho

algebra/geometry

Answer 1

x = -13/7

Explanation:

We can solve either by cross-multiplying or by multiplying both sides by the least common denominator, which is the product of the denominators: (5x + 7)(x - 1) in this case.

Both ways will give us the same answer, although cross-multiplying seems much simpler:

`4(x-1)=5(5x+7)\\4x-4=25x+35\\4x=25x+39\\-21x=39\\x=-39/21=-13/7`

We can check our answer by plugging in -13/7 for x into the equation and see if we get the same answer on both sides:

`4/(5(-13/7)+7))=5/(-13/7-1)\\4/(-65/7+7)=5/(-20/7)\\4/(-16/7)=-7/4\\-7/4=-7/4`