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

The answer to 7x+x/(x-9)= 9/(x-9) is x=-1/7

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

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

x = - \frac{1}{7}

Decimal Notation

x = - 0.14285 \dots

Solution steps

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

Multiply both sides by

x - 9

7 x (x - 9) + x = 9

Solve

7 x (x - 9) + x = 9 : x = 9, x = - \frac{1}{7}

x = 9, x = - \frac{1}{7}

Verify Solutions

Find undefined (singularity) points:

x = 9

Since the equation is undefined for:

9

x = - \frac{1}{7}

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

y, y + \frac{1}{x - 2} = 15

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

5 x + \frac{1}{x} = 6

\frac{1}{x} - \frac{1}{45} = \frac{1}{2 x - 3}

What is the answer to 7x+x/(x-9)= 9/(x-9) ?
The answer to 7x+x/(x-9)= 9/(x-9) is x=-1/7
Solve for x: 7x+x/(x-9)= 9/(x-9)
The solution is x=-1/7