That is not an equation because there is no equal sign. In order for y to be a function of x, y must equal the rest of the values. So assuming that your expression was equal to 0. To make y a function of x, add 3y to both sides and then divide the equation by 3.
y=5/3x-50
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implicit function/? an equation the function(x,y)=0 defines y implicitly as a function of x the domain of that implicitiy defines function consists of those x for which there is a unique y such that the function (x,y)=0
You can tell if an equation is a function if for any x value that you put into the function, you get only one y value. The equation you asked about is the equation of a line. It is a function.
It means you should rearrange the equation so that x is on one side of the equal sign, and everything else on the other, with no "x" on the right side of the equation. For instance, if I was told to express x as a function of y and given the equation: x-4y=6 I would express x as a function of y by rearranging the equation to read: x = 6+4y
You need it in the form f(x)= ... (whatever your equation happens to be). i.e get the equation in the form y=... Then swap the 'y' for 'f(x)'. Simple.
A linear equation IS a function. A function can look like X2+X+C, or X3+0, or X+Y+C, or many other ways. The function X+Y+C is a function in two variables, and can be a linear equation.