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

The answer to 2= 5/(4-3z) is z= 1/2

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2= 5/(4-3z)

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

z = \frac{1}{2}

Decimal Notation

z = 0.5

Solution steps

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

Multiply both sides by

4 - 3 z

2 (4 - 3 z) = 5

Divide both sides by

2

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

Move

4

to the right side

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

Divide both sides by

- 3

z = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

z = \frac{4}{3}

Combine undefined points with solutions:

z = \frac{1}{2}

\frac{x \cdot 60}{18 + 4.5 x} = 8300

\frac{2}{5 x + 1} = \frac{x + 1}{2}

\frac{x - 9}{2} = \frac{5}{x}

r, s = \frac{a}{a - r}

4 x + 9 = \frac{18 - 1}{2 x}