Solve x=2-3t , y=5+t

Evaluate

{x = 2 - 3 t y = 5 + t

To find the derivative \frac{d y}{d x},first find \frac{d x}{d t} and \frac{d y}{d t}

\frac{d}{d t} (x) = \frac{d}{d t} (2 - 3 t) \frac{d}{d t} (y) = \frac{d}{d t} (5 + t)

Find the derivative

More Steps

\frac{d x}{d t} = - 3 \frac{d}{d t} (y) = \frac{d}{d t} (5 + t)

Find the derivative

More Steps

\frac{d x}{d t} = - 3 \frac{d y}{d t} = 1

Solution

\frac{d y}{d x} = - \frac{1}{3}

x=2-3t , y=5+t