π=7x−2y
Solve the equation for y. Leave your answer in terms of π.
y=

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Respuesta :

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]