What is the answer to (-4)/5 = 3/(z-5) ?

The answer to (-4)/5 = 3/(z-5) is z= 5/4

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(-4)/5 = 3/(z-5)

\frac{- 4}{5} = \frac{3}{z - 5}

z = \frac{5}{4}

Decimal Notation

z = 1.25

Solution steps

\frac{- 4}{5} = \frac{3}{z - 5}

Cross multiply

- 4 (z - 5) = 15

Divide both sides by

- 4

z - 5 = - \frac{15}{4}

Move

5

to the right side

z = \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

z = 5

Combine undefined points with solutions:

z = \frac{5}{4}

\frac{2}{3 x} - 5 = x

\frac{2}{x - 2} + \frac{3}{x + 2} = 0

2.5 = \frac{102 - 100}{s}

\frac{x ^{2} - 2 x - 2}{x - 3} = 0

\frac{63}{c} = 9

What is the answer to (-4)/5 = 3/(z-5) ?
The answer to (-4)/5 = 3/(z-5) is z= 5/4
Solve for z: (-4)/5 = 3/(z-5)
The solution is z= 5/4