# Changing parametric equation to cartesian

#### arze

I've got this parametric equations:
$$\displaystyle x=\frac{c(t^4+1)}{2t^3}$$
$$\displaystyle y=\frac{c(t^4+1)}{2t}$$
t is the variable
I am supposed to find the Cartesian equation of these points, are there any pointers like things to look out for when trying to convert such things? I want to try it myself, but i need some guidance as to where to start when dealing with such equations.
Thanks!

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Hello arze
I've got this parametric equations:
$$\displaystyle x=\frac{c(t^4+1)}{2t^3}$$
$$\displaystyle y=\frac{c(t^4+1)}{2t}$$
t is the variable
I am supposed to find the Cartesian equation of these points, are there any pointers like things to look out for when trying to convert such things? I want to try it myself, but i need some guidance as to where to start when dealing with such equations.
Thanks!
It's difficult to define any hard-and-fast rules. Obviously, you have to eliminate $$\displaystyle t$$ between the two equations, so you'll have to look for ways to do this. You could try to isolate $$\displaystyle t$$ and then eliminate it by substitution.

In this case, the equations only differ in the power of $$\displaystyle t$$ in the denominators on the right-hand-sides. So
$$\displaystyle y = t^2x$$
Now make $$\displaystyle t$$ the subject of this equation, and eliminate it by substituting into whichever of the original equations looks like being the easier.

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