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

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

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5/(4-3z)=2

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

z = \frac{1}{2}

Decimal Notation

z = 0.5

Solution steps

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

Multiply both sides by

4 - 3 z

5 = 2 (4 - 3 z)

Switch sides

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{v ^{3} + v - 12}{7 v} = 4

\frac{26}{x} = 2

\frac{10}{c} = 1.685

x (\frac{1}{x}) = 1, x \neq = 0

\frac{5}{( x + 1 ) ^{2}} = 0