What is the answer to 4/(n+3)= 3/2 ?

The answer to 4/(n+3)= 3/2 is n=-1/3

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4/(n+3)= 3/2

\frac{4}{n + 3} = \frac{3}{2}

n = - \frac{1}{3}

Decimal Notation

n = - 0.33333 \dots

Solution steps

\frac{4}{n + 3} = \frac{3}{2}

Cross multiply

8 = (n + 3) \cdot 3

Switch sides

(n + 3) \cdot 3 = 8

Divide both sides by

3

n + 3 = \frac{8}{3}

Move

3

to the right side

n = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

n = - 3

Combine undefined points with solutions:

n = - \frac{1}{3}

\frac{1}{x - 2} + 3 = \frac{16}{x - 2}

\frac{6}{2 ( y )} = 9

1 + \frac{5}{y - 1} = \frac{7}{6}

\frac{3}{( 5 w )} = 2

h = \frac{200}{π r ^{2}}