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

The answer to 4/(e-3)=5 is e= 19/5

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4/(e-3)=5

\frac{4}{e - 3} = 5

e = \frac{19}{5}

Decimal

e = 3.8

Solution steps

\frac{4}{e - 3} = 5

Multiply both sides by

e - 3

4 = 5 (e - 3)

Switch sides

5 (e - 3) = 4

Divide both sides by

5

e - 3 = \frac{4}{5}

Move

3

to the right side

e = \frac{19}{5}

Verify Solutions

Find undefined (singularity) points:

e = 3

Combine undefined points with solutions:

e = \frac{19}{5}

\frac{18}{30} = \frac{15}{x}

\frac{1}{3} = \frac{3.15}{a}

4 x - \frac{32}{x ^{2}} = 0

\frac{1}{2} - \frac{4}{x ^{2}} = 0

- 9 x^{- 3 - 1} = 0