What is the answer to (r+4.6)/(r-2.3)=3.3 ?

The answer to (r+4.6)/(r-2.3)=3.3 is r=5.3

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(r+4.6)/(r-2.3)=3.3

\frac{r + 4.6}{r - 2.3} = 3.3

r = 5.3

Solution steps

\frac{r + 4.6}{r - 2.3} = 3.3

Multiply both sides by

r - 2.3

r + 4.6 = 3.3 (r - 2.3)

Expand

3.3 (r - 2.3) : 3.3 r - 7.59

r + 4.6 = 3.3 r - 7.59

Move

4.6

to the right side

r = 3.3 r - 12.19

Move

3.3 r

to the left side

- 2.3 r = - 12.19

Divide both sides by

- 2.3

r = 5.3

Verify Solutions

Find undefined (singularity) points:

r = 2.3

Combine undefined points with solutions:

r = 5.3

\frac{7}{k - 2} = \frac{5}{8}

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

\frac{24}{s} = \frac{4}{12}

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

x, x + \frac{6}{x} = 5

What is the answer to (r+4.6)/(r-2.3)=3.3 ?
The answer to (r+4.6)/(r-2.3)=3.3 is r=5.3
Solve for r: (r+4.6)/(r-2.3)=3.3
The solution is r=5.3