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

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

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

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

x = 4, x = - 1

Solution steps

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

Multiply both sides by

x - 3

x (x - 3) - 1 = 3

Solve

x (x - 3) - 1 = 3 : x = 4, x = - 1

x = 4, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 4, x = - 1

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

\frac{1}{x ^{3}} = 0

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

\frac{1}{x - 2} = 4

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

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