Question

If a+2b/a-b =2/3 then b/a=?​

Answer 1

-1/8

Explanation:

a+2b=2

a-b=3

Solve Simultaneous equations by Formula 1 - Formula 2

2b - (-b) = 2-3

3b = -1

b= -1/3

b= -1/3

so: a - (-1/3) = 3

a = 8/3

b/a=

(8/3) / (-1/3)

= (8/3) * (3/-1)

simplify

=-1/8

Answer 2

`(b)/(a)` = -
`(1)/(8)`

Explanation:

Given

`(a+2b)/(a-b)` =
`(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 )

-
`(1)/(8)` a = b ( divide both sides by a )

-
`(1)/(8)` =
`(b)/(a)`