What is the answer to (x-1)/(x+4)= 11/19 ?

The answer to (x-1)/(x+4)= 11/19 is x= 63/8

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(x-1)/(x+4)= 11/19

\frac{x - 1}{x + 4} = \frac{11}{19}

x = \frac{63}{8}

Decimal Notation

x = 7.875

Solution steps

\frac{x - 1}{x + 4} = \frac{11}{19}

Cross multiply

19 x - 19 = 11 x + 44

Move

19

to the right side

19 x = 11 x + 63

Move

11 x

to the left side

8 x = 63

Divide both sides by

8

x = \frac{63}{8}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = \frac{63}{8}

\frac{5}{a + 5} = \frac{3}{8}

\frac{6}{n + 9} = \frac{10}{5}

\frac{x - 2}{5} = \frac{2}{x}

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

\frac{1}{5} = - \frac{1}{1 + c}

What is the answer to (x-1)/(x+4)= 11/19 ?
The answer to (x-1)/(x+4)= 11/19 is x= 63/8
Solve for x: (x-1)/(x+4)= 11/19
The solution is x= 63/8