What is the answer to (x-7)/(x-4)=(x-7)/(x-3)-1 ?

The answer to (x-7)/(x-4)=(x-7)/(x-3)-1 is x=5,x=1

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(x-7)/(x-4)=(x-7)/(x-3)-1

\frac{x - 7}{x - 4} = \frac{x - 7}{x - 3} - 1

x = 5, x = 1

Solution steps

\frac{x - 7}{x - 4} = \frac{x - 7}{x - 3} - 1

Multiply by LCM

(x - 7) (x - 3) = (x - 7) (x - 4) - (x - 4) (x - 3)

Solve

(x - 7) (x - 3) = (x - 7) (x - 4) - (x - 4) (x - 3) : x = 5, x = 1

x = 5, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 4, x = 3

Combine undefined points with solutions:

x = 5, x = 1

0.02 = \frac{0.5}{x}

\frac{10 - 7 x}{6 - 7 x} = \frac{5 x - 4}{5 x}

\frac{1}{x} = \frac{1}{x ( x + 1 )}

\frac{9}{x ^{2}} = 0

y, x = \frac{2 y}{3 y - 1}

What is the answer to (x-7)/(x-4)=(x-7)/(x-3)-1 ?
The answer to (x-7)/(x-4)=(x-7)/(x-3)-1 is x=5,x=1
Solve for x: (x-7)/(x-4)=(x-7)/(x-3)-1
The solution is x=5,x=1