What is the answer to r/6+(r-1)/r = 7/6 ?

The answer to r/6+(r-1)/r = 7/6 is r=3,r=-2

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r/6+(r-1)/r = 7/6

\frac{r}{6} + \frac{r - 1}{r} = \frac{7}{6}

r = 3, r = - 2

Solution steps

\frac{r}{6} + \frac{r - 1}{r} = \frac{7}{6}

Multiply by LCM

r^{2} + 6 (r - 1) = 7 r

Solve

r^{2} + 6 (r - 1) = 7 r : r = 3, r = - 2

r = 3, r = - 2

Verify Solutions

Find undefined (singularity) points:

r = 0

Combine undefined points with solutions:

r = 3, r = - 2

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

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

x + \frac{6}{x} = 4

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

\frac{7}{x} + \frac{3}{2} = 2

What is the answer to r/6+(r-1)/r = 7/6 ?
The answer to r/6+(r-1)/r = 7/6 is r=3,r=-2
Solve for r: r/6+(r-1)/r = 7/6
The solution is r=3,r=-2