# Question #e7954

Sep 12, 2017

see below

#### Explanation:

Use the formulas $x = r \cos \theta , y = r \sin \theta$ and substitute into the given equation for x and y.

That is,

$x + 5 y = 3$

$r \cos \theta + 5 r \sin \theta = 3$

$r \cos \theta + 5 r \sin \theta - 3 = 0$

or

$r \left(\cos \theta + 5 \sin \theta\right) = 3$

$r = \frac{3}{\cos \theta + 5 \sin \theta}$