Question

Can you help solve for y?​

Answer 1

Go ahead and color the nose red!

The solution is

`y = (n-9)/(x)`

Explanation:

`\text{We have: }\\\\`

`\rightarrow\; (x)/(y) + 9 = n\\\\\\\text{Subtract 9 from both sides:}\\\\\rightarrow\;(x)/(y) + 9 - 9 = n - 9\\\\`

`\rightarrow\;(x)/(y) = n - 9\\\\`

Multiply both sides by y:

`\rightarrow\; y \cdot (x)/(y) = y (n-9)\\\\\rightarrow\; x = y(n-9)\\\\\\`

`\text{Divide both sides by (n-9)}:\\\\\\\rightarrow\; (x)/(n-9) = (y (n-9))/(n-9)\\\\\\\rightarrow\; (x)/(n-9) = y\\\\\\`

By switching sides without changing the meaning, this can be re-written as :

`y = (x)/(n-9) \\\\`

which of course means you can color the nose red

:)