document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174126>Question 174126</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780132031172/algebrahomeworkh>algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Do the graphs of 4y=(x-3)2 and<BR>\n" );
document.write( "3x-y=14 intersect at (5,1)?Explain<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129017 by </B><A HREF=/tutors/aboutme.mpl?userid=SAT+Math+Tutor><B>SAT Math Tutor(36)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=SAT+Math+Tutor><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes, they do because (5,1) is a point on each of their graphs.  You can find this by plugging in 5 for x and 1 for y into each equation.\r<BR>\n" );
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document.write( "4(1) = (5-3)*2 <BR>\n" );
document.write( "4 = 2*2<BR>\n" );
document.write( "4 = 4  \r<BR>\n" );
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document.write( "So we know (5,1) is on this graph....now the next one:\r<BR>\n" );
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document.write( "3(5) - 1 = 14<BR>\n" );
document.write( "15 - 1 = 14<BR>\n" );
document.write( "14 = 14\r<BR>\n" );
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document.write( "It is also on this graph so the graphs clearly intersect at (5,1). </SPAN>\n" );
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