Mathematics: If a+2b/a-b =2/3 then b/a=?

35/100* 800=35*800/100 this is the equation...

If a+2b/a-b =2/3 then b/a=? - id22311639297, Queenquestion9130

acavalieri72

02.04.2021

$\frac{b}{a}$ = - $\frac{1}{8}$

Step-by-step explanation:

Given

$\frac{a+2b}{a-b}$ = $\frac{2}{3}$ ( cross- multiply )

2(a - b) = 3(a + 2b) ← distribute parenthesis on both sides )

2a - 2b = 3a + 6b ( subtract 3a from both sides )

- a - 2b = 6b ( add 2b to both sides )

- a = 8b ( divide both sides by 8 )

- $\frac{1}{8}$ a = b ( divide both sides by a )

- $\frac{1}{8}$ = $\frac{b}{a}$

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