Can you help convert the following parametric equ. to cartesian equ.

**vidhu** · March 15th 2012, 11:32 AM

$x=t(t-1)$
$y=4t/1-t$

Can you help me convert the above equations to Cartesian equations?

thanks a lot,
Vidhu

**Soroban** · March 15th 2012, 11:58 AM

Hello, vidhu!

$\begin{array}{ccc}x&=&\dfrac{t}{t-1} \\ \\[-4mm] y &=& \dfrac{4t}{1-t} \end{array}$

Can you help me convert the above equations to Cartesian equations?

You have: . $\begin{Bmatrix}x &=& \dfrac{t}{t-1} & [1] \\ \\[-3mm] y &=&-4\left(\dfrac{t}{t-1}\right) & [2] \end{Bmatrix}$

Substitute [1] into [2]: . $y \:=\:-4x$

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