SOLUTION: What is the inverse of 8x+7?

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Question 125979: What is the inverse of 8x+7?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming you mean: "What is the inverse of y=8x+7?"


y=8x%2B7 Start with the given equation


x=8y%2B7 Switch the x and y variables



0=8y%2B7-xSubtract x from both sides


-8y=7-x Subtract 8y from both sides


y=%287-x%29%2F%28-8%29 Divide both sides by -8 to isolate y


y=%287%29%2F%28-8%29-%28x%29%2F%28-8%29 Break up the fraction


y=-%287%2F8%29%2B%281%2F8%29x Reduce


y=%281%2F8%29x-%287%2F8%29 Rearrange the terms


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Answer:
So the inverse of y=8x%2B7 is y=%281%2F8%29x-%287%2F8%29