Question

3(x+y)=y, if (x,y) is a solution to the equation above and y cannot equal to zero what is the ratio x/y

Answer 1

*Given
3(x+y)=y
y is not equal to zero

*Solution 

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis, 

                        3(x+y) = y
                      3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

                              3x = -2y

Dividing both sides of the equation by 3, 

                                x = (-2/3)y

Dividing both sides of the equation by y, 

                              x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.