204k views
1 vote
Solve. Check your answer.
-3/z + 7/4z = 5/z-25

Solve. Check your answer. -3/z + 7/4z = 5/z-25-example-1
User Lusitanian
by
3.5k points

1 Answer

1 vote

Answer:

z = 5

Explanation:

simplify

5/(z-25) first

turning it into

((0 - 3/z) + 7/4z) - 5/(z - 25) = 0

then simplify 7/4z

((0 - 3/z) + 7/4z) - 5/(z-25) = 0

when the fractions denominator is 0 then the numerator must be 0

turning the equation into

-25 * (z - 5) = 0

solve

-25 = 0

something that is not zero cannot equal zero.

z - 5 = 0

5 - 5 = 0

z = 5

hope this helps:)

User MSajjadi
by
2.6k points