What is the answer to 4= 8/(5+z) ?

The answer to 4= 8/(5+z) is z=-3

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4= 8/(5+z)

4 = \frac{8}{5 + z}

z = - 3

Solution steps

4 = \frac{8}{5 + z}

Multiply both sides by

5 + z

4 (5 + z) = 8

Divide both sides by

4

5 + z = 2

Move

5

to the right side

z = - 3

Verify Solutions

Find undefined (singularity) points:

z = - 5

Combine undefined points with solutions:

z = - 3

\frac{9 x}{x + 1} = 5 - \frac{9}{x + 1}

\frac{1}{x - 2} + 4 = \frac{17}{x - 2}

y + \frac{2}{y} = \frac{9}{2}

\frac{x ( x - 5 )}{x ^{2} - 9} = 1

10 + \frac{4}{y ^{2}} = 1