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Usually to plot an equation like $y=f(x)$, you do so by using

Plot[f[x],{x,0,10}]

However, my equation takes the form $f(x,y)=0$ and $y$ can't be separated to make an equation like $y=f(x)$. Is there a way to plot the values of $y$ by plotting $f(x,y)$ over $x$.

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    $\begingroup$ Have a look at ContourPlot $\endgroup$ – george2079 Mar 25 '16 at 19:34
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ContourPlot is probably the solution you are looking for. Here is an example using the function $f(x, y)=x^2 - y^2 - 1$:

f[x_, y_] := x^2 - y^2 - 1
ContourPlot[f[x, y] == 0, {x, -3, 3}, {y, -3, 3}]

Mathematica graphics

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