Answer:
[tex]y=\dfrac{7x}{2}- \dfrac{\pi}{2}[/tex]
Step-by-step explanation:
Given equation:
[tex]\pi=7x-2y[/tex]
To isolate y, add 2y to both sides:
[tex]\implies\pi+2y=7x-2y+2y[/tex]
[tex]\implies\pi+2y=7x[/tex]
Subtract π from both sides:
[tex]\implies\pi+2y - \pi=7x- \pi[/tex]
[tex]\implies 2y=7x- \pi[/tex]
Divide both sides by 2:
[tex]\implies \dfrac{2y}{2}=\dfrac{7x}{2}- \dfrac{\pi}{2}[/tex]
[tex]\implies y=\dfrac{7x}{2}- \dfrac{\pi}{2}[/tex]
This can also be written as a rational function:
[tex]\implies y=\dfrac{7x- \pi}{2}[/tex]