What is the answer to (x+9)/(x-6)= 3/7 ?

The answer to (x+9)/(x-6)= 3/7 is x=-81/4

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(x+9)/(x-6)= 3/7

\frac{x + 9}{x - 6} = \frac{3}{7}

x = - \frac{81}{4}

Decimal Notation

x = - 20.25

Solution steps

\frac{x + 9}{x - 6} = \frac{3}{7}

Cross multiply

7 x + 63 = 3 x - 18

Move

63

to the right side

7 x = 3 x - 81

Move

3 x

to the left side

4 x = - 81

Divide both sides by

4

x = - \frac{81}{4}

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = - \frac{81}{4}

\frac{4}{y} - 5 = \frac{5}{2 y}

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

\frac{4}{x} + 10 = \frac{4}{x - 3}

\frac{3}{7 x - 2} = \frac{9}{3 x + 1}

\frac{3}{x + 2} + \frac{5}{x - 4} = 2

What is the answer to (x+9)/(x-6)= 3/7 ?
The answer to (x+9)/(x-6)= 3/7 is x=-81/4
Solve for x: (x+9)/(x-6)= 3/7
The solution is x=-81/4