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## Homework Statement

Eliminate the parameter:

x=2-3θ

y= 4+θ

## Homework Equations

x

^{2}+ y

^{2}= r

^{2}

## The Attempt at a Solution

[x=2-3θ]

^{2}; [y= 4+θ]

^{2}

x

^{2}= 4-12θ+9θ

^{2}

y

^{2}= 16+8θ+θ

^{2}

-------------------------------------

x

^{2}+y

^{2}= 20 - 4θ + 10θ

^{2}

r

^{2}= 20 - 4θ + 10θ

^{2}

Is there another step that I can take to simplify this expression further?