What is the answer to (11)/(3z+2)= 1/4 ?

The answer to (11)/(3z+2)= 1/4 is z=14

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(11)/(3z+2)= 1/4

\frac{11}{3 z + 2} = \frac{1}{4}

z = 14

Solution steps

\frac{11}{3 z + 2} = \frac{1}{4}

Cross multiply

44 = 3 z + 2

Switch sides

3 z + 2 = 44

Move

2

to the right side

3 z = 42

Divide both sides by

3

z = 14

Verify Solutions

Find undefined (singularity) points:

z = - \frac{2}{3}

Combine undefined points with solutions:

z = 14

\frac{9}{x} = \frac{1}{3 x} + 1

\frac{3}{x - 1} = \frac{2}{5}

\frac{3}{x} - \frac{1}{3} = - 6

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

\frac{x}{8} = \frac{8}{x}