Respuesta :

Answer:

[tex]\frac{b}{a}[/tex] = - [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Given

[tex]\frac{a+2b}{a-b}[/tex] = [tex]\frac{2}{3}[/tex] ( 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 )

- [tex]\frac{1}{8}[/tex] a = b ( divide both sides by a )

- [tex]\frac{1}{8}[/tex] = [tex]\frac{b}{a}[/tex]

Answer:

-1/8

Step-by-step 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

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