document.write( "Question 697281: What is the inverse of y=2x+1\r
\n" ); document.write( "\n" ); document.write( "my work:\r
\n" ); document.write( "\n" ); document.write( "x=2y+1\r
\n" ); document.write( "\n" ); document.write( "I just want to make sure all I have to do is switch the x and y. \n" ); document.write( "

Algebra.Com's Answer #429811 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
You are doing OK.
\n" ); document.write( "Keep on going.
\n" ); document.write( "You have to solve for y.
\n" ); document.write( "You should end up with
\n" ); document.write( " $\"y=%281%2F2%29x-1%2F2\"$ (answer I would prefer)
\n" ); document.write( " $\"y=%281%2F2%29%28x-1%29\"$ and $\"y=x%2F2-1%2F2\"$ are alternative equivalent answers.
\n" ); document.write( "
\n" ); document.write( "Here's how you would solve for y:
\n" ); document.write( " $\"x=2y%2B1\"$ --> $\"x-1=2y%2B1-1\"$ --> $\"x-1=2y\"$ (subtracting 1 from both sides of the equal sign)
\n" ); document.write( " $\"x-1=2y\"$ --> $\"%28x-1%29%2F2=2y%2F2\"$ --> $\"%28x-1%29%2F2=y\"$ (dividing both sides by 2)
\n" ); document.write( " $\"%28x-1%29%2F2=y\"$ is the same as $\"y=%28x-1%29%2F2\"$ because the equal sign works both ways,
\n" ); document.write( "and $\"y=%28x-1%29%2F2\"$ is the same as $\"y=%281%2F2%29%28x-1%29\"$ because dividing by 2 is the same as multiplying by 1/2.
\n" ); document.write( " $\"y=%281%2F2%29%28x-1%29\"$ --> $\"y=%281%2F2%29x%2B%281%2F2%29%28-1%29\"$ --> $\"y=%281%2F2%29x-1%2F2\"$ (applying the distributive property)
\n" ); document.write( " $\"y=%281%2F2%29x-1%2F2\"$ --> $\"y=x%2F2-1%2F2\"$ because dividing by 2 is the same as multiplying by 1/2, so that $\"%281%2F2%29x=x%2F2\"$ . \n" ); document.write( "

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