SOLUTION: What is the inverse of y=2x+1 my work: x=2y+1 I just want to make sure all I have to do is switch the x and y.

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Question 697281: What is the inverse of y=2x+1
my work:
x=2y+1
I just want to make sure all I have to do is switch the x and y.

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
You are doing OK.
Keep on going.
You have to solve for y.
You should end up with
(answer I would prefer)
and are alternative equivalent answers.

Here's how you would solve for y:
--> --> (subtracting 1 from both sides of the equal sign)
--> --> (dividing both sides by 2)
is the same as because the equal sign works both ways,
and is the same as because dividing by 2 is the same as multiplying by 1/2.
--> --> (applying the distributive property)
--> because dividing by 2 is the same as multiplying by 1/2, so that .

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