document.write( "Question 49777: Please solve the equation and check your solution.
\n" ); document.write( "sqrt of 2y+7+4=y \n" ); document.write( "

Algebra.Com's Answer #33048 by tutorcecilia(2152) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28+%28%28sqrt%282y%2B7%29%29+%2B+4%29%29+=+y%29%29%29%29+\"$
\n" ); document.write( ".
\n" ); document.write( " $\"%28+%28%28sqrt%282y%2B7%29%29+%2B+4+-+4%29%29+=+y+-+4%29%29%29%29+\"$ [Isolate the radical to one side]
\n" ); document.write( ".
\n" ); document.write( " $\"%28+%28%28sqrt%282y%2B7%29%29%29%29+=+y+-+4%29%29%29%29+\"$
\n" ); document.write( ".
\n" ); document.write( " $\"%28+%28%28%28sqrt%282y%2B7%29%29%29%29%29%5E2+=+%28%28y+-+4%29%29%5E2%29%29%29%29+\"$ [Square both sides]
\n" ); document.write( ".
\n" ); document.write( "2y+7 = (y - 4)(y - 4) [Multiply by using the FOIL method]
\n" ); document.write( "2y+7=y^2-8y+16[Set the equaion equal to zero by getting all of the terms to one side of the equation]
\n" ); document.write( ".
\n" ); document.write( "2y+7-7=y^2-7-8y+16
\n" ); document.write( "2y=y^2-8y+9
\n" ); document.write( "2y-2y=y^2-8y-2y+9
\n" ); document.write( "0=y^2-10y+9 [Factor]
\n" ); document.write( "0 = (y-9)(y-1) [solve for y]
\n" ); document.write( ".
\n" ); document.write( "0=y-9
\n" ); document.write( "y=9
\n" ); document.write( ".
\n" ); document.write( "0=y-1
\n" ); document.write( "y=1
\n" ); document.write( ".
\n" ); document.write( "y=9 or y=1 [Final answers]
\n" ); document.write( ".
\n" ); document.write( "Check by plugging the values of \"y\" back into the original equatin.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );