document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100671>Question 100671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve  the equations.  check the solutions.<BR>\n" );
document.write( "sqrt(2y+7)+4=y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73263 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sqrt(2y+7)+4=y<BR>\n" );
document.write( "sqrt(2y+7)=y-4<BR>\n" );
document.write( "2y+7=y^2-8y+16 Square both sides.<BR>\n" );
document.write( "y^2-10y+9=0 subtract 2y+7 from each side.<BR>\n" );
document.write( "(y-9)(y-1)=0<BR>\n" );
document.write( "y=9 and y=1<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "for x=9: sqrt(2*9+7)+4=9...sqrt(25)+4=9...5+4=9 true<BR>\n" );
document.write( "for x=1: sqrt(2+7)+4=1...sqrt(9)+4=1...3+4=1 false<BR>\n" );
document.write( "y=9<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );