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

• March 15th 2012, 12:32 PM
vidhu
Can you help convert the following parametric equ. to cartesian equ.
$x=t(t-1)$
$y=4t/1-t$

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

thanks a lot,
Vidhu
• March 15th 2012, 12:58 PM
Soroban
Re: Can you help convert the following parametric equ. to cartesian equ.
Hello, vidhu!

Quote:

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

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]: . $y \:=\:-4x$