What is the answer to (x-7)/(x-4)= 5/x ?

The answer to (x-7)/(x-4)= 5/x is x=10,x=2

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(x-7)/(x-4)= 5/x

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

x = 10, x = 2

Solution steps

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

Cross multiply

(x - 7) x = (x - 4) \cdot 5

Solve

(x - 7) x = (x - 4) \cdot 5 : x = 10, x = 2

x = 10, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 4, x = 0

Combine undefined points with solutions:

x = 10, x = 2

\frac{4 x}{x - 2} + 3 = 1

(12.2)^{2} = \frac{640}{m}

p, p^{- 1} + q^{- 1} = - 2

\frac{x + 3}{5 x - 2} = \frac{x}{x + 1}

\frac{10}{x + 3} + \frac{10}{3} = 6

What is the answer to (x-7)/(x-4)= 5/x ?
The answer to (x-7)/(x-4)= 5/x is x=10,x=2
Solve for x: (x-7)/(x-4)= 5/x
The solution is x=10,x=2