To determine the value of y when 3y lies on the graph of the equation y = 2x, we start by substituting 3y into the equation.
From the equation y = 2x, we can express y in terms of x as follows:
y = 2x
If we want to find 3y, we can multiply both sides of this equation by 3:
3y = 3(2x)
This simplifies to:
3y = 6x
Now we need to find the value of y when 3y is used in the equation. To do that, we can solve for y:
y = 2x
Now substitute back into the equation:
3y = 6x
From this, it’s clear that for any value of x, the value of y is simply:
y = 2/3 (6x) = 4x.
Thus, when 3y lies on the graph of y = 2x, y can be expressed in relation to x as:
y = 2x/3.
In conclusion, if 3y lies on the graph of y = 2x, then the expression for y becomes:
y = 2x.