Final answer:
To solve the equation 3(x+y) = y, first distribute the 3 to get 3x + 3y = y. Isolate the y term to get 3x + 2y = 0. If y = 0, the solution is x = 0, y = 0. The ratio x/y is undefined because we cannot divide by zero.
Step-by-step explanation:
To solve the equation 3(x+y) = y, we first distribute the 3, giving us 3x + 3y = y. Next, we need to isolate the y term. Subtract y from both sides of the equation to get 3x + 2y = 0. Now, if y = 0, we can substitute that value into the equation:
3x + 2(0) = 0
3x = 0
x = 0
So, the solution is x = 0, y = 0.
To find the ratio x/y, we divide x by y:
x/y = 0/0
The ratio x/y is undefined because we cannot divide by zero.