What is the answer to 7/(b+5)= 10/5 ?

The answer to 7/(b+5)= 10/5 is b=-3/2

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7/(b+5)= 10/5

\frac{7}{b + 5} = \frac{10}{5}

b = - \frac{3}{2}

Decimal Notation

b = - 1.5

Solution steps

\frac{7}{b + 5} = \frac{10}{5}

Cross multiply

35 = (b + 5) \cdot 10

Switch sides

(b + 5) \cdot 10 = 35

Divide both sides by

10

b + 5 = \frac{7}{2}

Move

5

to the right side

b = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

b = - 5

Combine undefined points with solutions:

b = - \frac{3}{2}

a, u = \frac{k}{a}

4 x^{- 4} - 16 x^{- 2} + 4 = 0

\frac{10}{x} = 3

a = \frac{d ( y + 12 )}{y}

\frac{13 + 2 x}{4 x + 1} = \frac{3}{4}