What is the answer to (x-1)/(x+4)= 3/x ?

The answer to (x-1)/(x+4)= 3/x is x=6,x=-2

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(x-1)/(x+4)= 3/x

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

x = 6, x = - 2

Solution steps

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

Cross multiply

(x - 1) x = (x + 4) \cdot 3

Solve

(x - 1) x = (x + 4) \cdot 3 : x = 6, x = - 2

x = 6, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 0

Combine undefined points with solutions:

x = 6, x = - 2

18 = \frac{1}{12 y + 14}

x + \frac{1}{x} = \frac{3}{5}

\frac{2 x - 9}{3 x - 2} = - 3

z + \frac{1}{z} = 0

\frac{10}{x ^{3}} = 0

What is the answer to (x-1)/(x+4)= 3/x ?
The answer to (x-1)/(x+4)= 3/x is x=6,x=-2
Solve for x: (x-1)/(x+4)= 3/x
The solution is x=6,x=-2