What is the answer to 1/(5(k-3))= 3/4 ?

The answer to 1/(5(k-3))= 3/4 is k= 49/15

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1/(5(k-3))= 3/4

\frac{1}{5 ( k - 3 )} = \frac{3}{4}

k = \frac{49}{15}

Decimal Notation

k = 3.26666 \dots

Solution steps

\frac{1}{5 ( k - 3 )} = \frac{3}{4}

Cross multiply

4 = 15 (k - 3)

Switch sides

15 (k - 3) = 4

Divide both sides by

15

k - 3 = \frac{4}{15}

Move

3

to the right side

k = \frac{49}{15}

Verify Solutions

Find undefined (singularity) points:

k = 3

Combine undefined points with solutions:

k = \frac{49}{15}

\frac{r}{3 r} = 12

\frac{1}{2 x} = \frac{4}{3}

\frac{y + 2}{y} = \frac{5}{3}

\frac{6}{x - 8} = \frac{2}{x + 6}

\frac{r}{r - 2} - 5 = \frac{2}{r - 2}

What is the answer to 1/(5(k-3))= 3/4 ?
The answer to 1/(5(k-3))= 3/4 is k= 49/15
Solve for k: 1/(5(k-3))= 3/4
The solution is k= 49/15