Question

Solve the equation 7/z-1 = 9/z+4

Answer 1

z is equal to 18.5

Explanation:

When an equation is in the format a/b = c/d, the quickest way to simplify it is to cross multiply. Each side is multiplied by the other sides denominator, eliminating the division:

`(7)/(z-1) = (9)/(z + 4)\\7(z + 4) = 9(z - 1)\\7z + 28 = 9z - 9\\7z - 9z = -9 - 28\\-2z = -37\\z = 37/2\\z = 18.5`

So z is equal to 18.5