Question

3 (x + y) = y If (x,y) is a solution to the equation above and y ≠ 0, what is the ratio of x/y

Answer 1

$\\ \sf\Rrightarrow 3(x+y)=y$

• Use distributive law

$\\ \sf\Rrightarrow 3x+3y=y$

• Take y to right

$\\ \sf\Rrightarrow 3x=y-3y$

• Take y common

$\\ \sf\Rrightarrow 3x=-2y$

$\\ \sf\Rrightarrow \dfrac{x}{y}=\dfrac{-2}{3}$

$\\ \sf\Rrightarrow x:y=-2:3$

Answer 2

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

$\implies \mathsf{ \frac{3x}{1} = - \frac{2y}{1} }$

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

$\implies \mathsf{ \frac{x}{y} = - \frac{2}{3} }$

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

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Hope this helps!