What is the answer to 43=3-5/(9z) ?

The answer to 43=3-5/(9z) is z=-1/72

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43=3-5/(9z)

43 = 3 - \frac{5}{9 z}

z = - \frac{1}{72}

Decimal Notation

z = - 0.01388 \dots

Solution steps

43 = 3 - \frac{5}{9 z}

Move

3

to the left side

40 = - \frac{5}{9 z}

Multiply both sides by

z

40 z = - \frac{5}{9}

Divide both sides by

40

z = - \frac{1}{72}

Verify Solutions

Find undefined (singularity) points:

z = 0

Combine undefined points with solutions:

z = - \frac{1}{72}

\frac{4 - x}{x} = 0

33.6 x^{- 5} + 6.8 x^{- 4} - 501.37 = 0

\frac{0.5}{1} = \frac{10}{x}

\frac{6}{x} = \frac{5}{8}

\frac{1}{2 ( 4 \frac{x}{3} - 4 )} = 0