What is the answer to (24)/(5z+4)= 4/(z-1) ?

The answer to (24)/(5z+4)= 4/(z-1) is z=10

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(24)/(5z+4)= 4/(z-1)

\frac{24}{5 z + 4} = \frac{4}{z - 1}

z = 10

Solution steps

\frac{24}{5 z + 4} = \frac{4}{z - 1}

Cross multiply

24 z - 24 = 20 z + 16

Move

24

to the right side

24 z = 20 z + 40

Move

20 z

to the left side

4 z = 40

Divide both sides by

4

z = 10

Verify Solutions

Find undefined (singularity) points:

z = - \frac{4}{5}, z = 1

Combine undefined points with solutions:

z = 10

\frac{( x ^{2} - 4 x - 5 )}{x ^{2} + 1} = 0

\frac{1}{x + 4} = 2

x - \frac{9}{x + 4} = \frac{4 x}{x + 4}

\frac{12}{x + 2} = \frac{9}{x + 5}

15 - \frac{12}{x} = - 33

What is the answer to (24)/(5z+4)= 4/(z-1) ?
The answer to (24)/(5z+4)= 4/(z-1) is z=10
Solve for z: (24)/(5z+4)= 4/(z-1)
The solution is z=10