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

The answer to (x-1)/x =(x+1)/(x+3) is x=3

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

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

x = 3

Solution steps

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

Cross multiply

x^{2} + 2 x - 3 = x^{2} + x

Move

3

to the right side

x^{2} + 2 x = x^{2} + x + 3

Subtract

x^{2} + x

from both sides

x^{2} + 2 x - (x^{2} + x) = x^{2} + x + 3 - (x^{2} + x)

Simplify

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 3

Combine undefined points with solutions:

x = 3

\frac{1}{2 k} = \frac{1}{2} - \frac{5}{k}

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

6 - \frac{4}{x ^{2}} = 0

x, y = \frac{x - t}{x + t}

\frac{x - 119}{x + 7} = - 5

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