What is the answer to (10)/(r-3)+4/(3-r)=6 ?

The answer to (10)/(r-3)+4/(3-r)=6 is r=4

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(10)/(r-3)+4/(3-r)=6

\frac{10}{r - 3} + \frac{4}{3 - r} = 6

r = 4

Solution steps

\frac{10}{r - 3} + \frac{4}{3 - r} = 6

Multiply by LCM

10 (- r + 3) + 4 (r - 3) = 6 (r - 3) (- r + 3)

Solve

10 (- r + 3) + 4 (r - 3) = 6 (r - 3) (- r + 3) : r = 3, r = 4

r = 3, r = 4

Verify Solutions

Find undefined (singularity) points:

r = 3

Since the equation is undefined for:

3

r = 4

1 + \frac{1}{x} = 6 - \frac{5}{x}

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

x - \frac{2 x}{x - 6} = 3

5.59 \cdot 1 0^{- 10} = \frac{0.26 x + x ^{2}}{- x}

\frac{33}{x + 6.5} + \frac{4}{x - 6.5} = 1

What is the answer to (10)/(r-3)+4/(3-r)=6 ?
The answer to (10)/(r-3)+4/(3-r)=6 is r=4
Solve for r: (10)/(r-3)+4/(3-r)=6
The solution is r=4