Respuesta :

Answer:

x/ y = -2/ 3

Explanation:

we have:

3(x + y) = y

distributing 3 within the parenthesis:

=> 3x + 3y = y

taking y to the other side, changing its sign in the process

=> 3x = y - 3y

=> 3x = y(1 - 3)

=> 3x = -2y

you can represent any integer as a fraction by putting a "1" in the denominator

[tex] \implies \mathsf{ \frac{3x}{1} = - \frac{2y}{1} }[/tex]

taking y to the denominator on the LHS and 3 to the denominator on the RHS

[tex] \implies \mathsf{ \frac{x}{y} = - \frac{2}{3} }[/tex]

that makes the ratio, x/y = -2/ 3

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Hope this helps!

[tex]\\ \sf\Rrightarrow 3(x+y)=y[/tex]

  • Use distributive law

[tex]\\ \sf\Rrightarrow 3x+3y=y[/tex]

  • Take y to right

[tex]\\ \sf\Rrightarrow 3x=y-3y[/tex]

  • Take y common

[tex]\\ \sf\Rrightarrow 3x=-2y[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{x}{y}=\dfrac{-2}{3}[/tex]

[tex]\\ \sf\Rrightarrow x:y=-2:3[/tex]

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