What is the answer to solvefor b,a=(2a+6b)/(3b) ?

The answer to solvefor b,a=(2a+6b)/(3b) is b=(2a)/(3(a-2));\quad a\ne 2

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solvefor b,a=(2a+6b)/(3b)

solve for

b, a = \frac{2 a + 6 b}{3 b}

b = \frac{2 a}{3 ( a - 2 )}; a \neq = 2

Solution steps

a = \frac{2 a + 6 b}{3 b}

Multiply both sides by

b

ab = \frac{2 a + 6 b}{3}

Multiply both sides by

3

3 ab = 2 a + 6 b

Move

6 b

to the left side

3 ab - 6 b = 2 a

Factor

3 ab - 6 b : 3 b (a - 2)

3 b (a - 2) = 2 a

Divide both sides by

3 (a - 2); a \neq = 2

b = \frac{2 a}{3 ( a - 2 )}; a \neq = 2

\frac{3 - 2}{9 b} = \frac{1}{3 b - 7}

\frac{2}{w} = \frac{7}{w + 5}

b, a = \frac{3 b - 1}{3 b - 4}

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

a, r = \frac{a x + b}{a + b x}

What is the answer to solvefor b,a=(2a+6b)/(3b) ?
The answer to solvefor b,a=(2a+6b)/(3b) is b=(2a)/(3(a-2));\quad a\ne 2