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## anonymous 3 years ago What is the inverse of y = 5 - 3x? Show all your steps

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1. anonymous

write the same equation in term of y that is the inverse

2. ParthKohli

In inverse functions, the $$x$$ replaces $$y$$. Here,$x = 5 - 3y$Now solve for $$y$$.

3. anonymous

Well, I kinda get the idea how to do this. Just want step by step. I have done similar problems.

4. anonymous

switch the x & y x = 5 - 3y subtract 5 from each side x - 5 = -3y divide by -3 on each side so (x-5)/3

5. ParthKohli

\begin{aligned}x-5&=-3y \\ {x -5 \over -3}&=y \end{aligned}

6. ParthKohli

Or,${-x + 5 \over 3} = y$Or${5 - x \over 3} = y$

7. anonymous

Ahh, so I am just switching x and y around?

8. ParthKohli

Yeah

9. anonymous

Gotcha, thanks ya'll! (:

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