What is the answer to 2= 4/3-5/z ?

The answer to 2= 4/3-5/z is z=-15/2

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2= 4/3-5/z

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

z = - \frac{15}{2}

Decimal Notation

z = - 7.5

Solution steps

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

Multiply by LCM

6 z = 4 z - 15

Move

4 z

to the left side

2 z = - 15

Divide both sides by

2

z = - \frac{15}{2}

Verify Solutions

Find undefined (singularity) points:

z = 0

Combine undefined points with solutions:

z = - \frac{15}{2}

2 = \frac{4}{3} - \frac{5}{y}

x, 0 = \frac{y - x}{y + x}

\frac{9}{3 x} = \frac{4}{x + 2}

0.4 x = \frac{500}{x} + 0.2 x

2 = \frac{4}{3} - \frac{5}{c}