What is the answer to 4/(3+z)= 6/5 ?

The answer to 4/(3+z)= 6/5 is z= 1/3

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4/(3+z)= 6/5

\frac{4}{3 + z} = \frac{6}{5}

z = \frac{1}{3}

Decimal

z = 0.33333 \dots

Solution steps

\frac{4}{3 + z} = \frac{6}{5}

Cross multiply

20 = (3 + z) \cdot 6

Switch sides

(3 + z) \cdot 6 = 20

Divide both sides by

6

3 + z = \frac{10}{3}

Move

3

to the right side

z = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

z = - 3

Combine undefined points with solutions:

z = \frac{1}{3}

x^{2} + \frac{5}{x} = 8

5 x^{- 3} = 135

9 - \frac{6 x}{x + 4} = - \frac{3}{x + 4}

6 - \frac{3 x}{x - 9} = - \frac{6}{x - 9}

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