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

The answer to 5/(r+10)= 7/5 is r=-45/7

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5/(r+10)= 7/5

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

r = - \frac{45}{7}

Decimal Notation

r = - 6.42857 \dots

Solution steps

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

Cross multiply

25 = (r + 10) \cdot 7

Switch sides

(r + 10) \cdot 7 = 25

Divide both sides by

7

r + 10 = \frac{25}{7}

Move

10

to the right side

r = - \frac{45}{7}

Verify Solutions

Find undefined (singularity) points:

r = - 10

Combine undefined points with solutions:

r = - \frac{45}{7}

\frac{12}{x ( x + 8 )} = 0

(8 x)^{- 3} = 64

x, \frac{1}{x} + x y = 0

y, x = \frac{y - 2}{y + 2}

\frac{12}{x} = 24