What is the answer to 4/(9y-10)=-6 ?

The answer to 4/(9y-10)=-6 is y= 28/27

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4/(9y-10)=-6

\frac{4}{9 y - 10} = - 6

y = \frac{28}{27}

Decimal Notation

y = 1.03703 \dots

Solution steps

\frac{4}{9 y - 10} = - 6

Multiply both sides by

9 y - 10

4 = - 6 (9 y - 10)

Switch sides

- 6 (9 y - 10) = 4

Divide both sides by

- 6

9 y - 10 = - \frac{2}{3}

Move

10

to the right side

9 y = \frac{28}{3}

Divide both sides by

9

y = \frac{28}{27}

Verify Solutions

Find undefined (singularity) points:

y = \frac{10}{9}

Combine undefined points with solutions:

y = \frac{28}{27}

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2.7 = \frac{37}{x}

0 = - 2000 + \frac{2662}{( 1 + x ) ^{3}}

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