What is the answer to (x-7)/(x-4)= 2/x ?

The answer to (x-7)/(x-4)= 2/x is x=8,x=1

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(x-7)/(x-4)= 2/x

\frac{x - 7}{x - 4} = \frac{2}{x}

x = 8, x = 1

Solution steps

\frac{x - 7}{x - 4} = \frac{2}{x}

Cross multiply

(x - 7) x = (x - 4) \cdot 2

Solve

(x - 7) x = (x - 4) \cdot 2 : x = 8, x = 1

x = 8, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 4, x = 0

Combine undefined points with solutions:

x = 8, x = 1

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

x, \frac{x + y}{x - y} = 5

\frac{y + 8}{2 y - 5} = 1

x^{- 2} - 7 x^{- 1} + 10 = 0

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

What is the answer to (x-7)/(x-4)= 2/x ?
The answer to (x-7)/(x-4)= 2/x is x=8,x=1
Solve for x: (x-7)/(x-4)= 2/x
The solution is x=8,x=1