What is the answer to (250)/x+(360)/(x+10)=11 ?

The answer to (250)/x+(360)/(x+10)=11 is x=50,x=-50/11

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(250)/x+(360)/(x+10)=11

\frac{250}{x} + \frac{360}{x + 10} = 11

x = 50, x = - \frac{50}{11}

Decimal Notation

x = 50, x = - 4.54545 \dots

Solution steps

\frac{250}{x} + \frac{360}{x + 10} = 11

Multiply by LCM

250 (x + 10) + 360 x = 11 x (x + 10)

Solve

250 (x + 10) + 360 x = 11 x (x + 10) : x = 50, x = - \frac{50}{11}

x = 50, x = - \frac{50}{11}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 10

Combine undefined points with solutions:

x = 50, x = - \frac{50}{11}

\frac{6}{x - 6} - \frac{12}{x ^{2}} = 0

2 x^{- 2} = x^{- 1} - 1

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

1 - \frac{7}{x + 3} = \frac{7}{x ^{2} + 5 x + 6}

\frac{24}{10 + x} + 1 = \frac{24}{10 - x}

What is the answer to (250)/x+(360)/(x+10)=11 ?
The answer to (250)/x+(360)/(x+10)=11 is x=50,x=-50/11
Solve for x: (250)/x+(360)/(x+10)=11
The solution is x=50,x=-50/11