document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=8610>Question 8610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The problem asks me to solve usling any method.<BR>\n" );
document.write( "5x+6y=14<BR>\n" );
document.write( "y=4x-17<BR>\n" );
document.write( "I am not sure which method to use. I tried both but did not come out with the same answer both times! Thanks for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #4785 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=4785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Because one of the equations is in the form of y=___ (or also x=____), I think the substitution method is the easiest way.  \r<BR>\n" );
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document.write( "Rewrite the first equation<BR>\n" );
document.write( "5x + 6y = 14, and leave a blank space in place of the y.<BR>\n" );
document.write( "5x + 6(_____) = 14.\r<BR>\n" );
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document.write( "In that blank space, substitute the value y from the second equation, that is, 4x-17.\r<BR>\n" );
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document.write( "5x + 6(_____) = 14<BR>\n" );
document.write( "5x + 6(4x-17) = 14  Now just solve for x.<BR>\n" );
document.write( "5x + 24x - 102 = 14<BR>\n" );
document.write( "29x - 102 = 14<BR>\n" );
document.write( "29x - 102 + 102 = 14 + 102<BR>\n" );
document.write( "29x = 116  Divide both sides by 29<BR>\n" );
document.write( "x= 4.\r<BR>\n" );
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document.write( "Now, the easiest place to find y is in the y=___ equation.<BR>\n" );
document.write( "y=4x- 17<BR>\n" );
document.write( "y=4(4) - 17<BR>\n" );
document.write( "y = -1\r<BR>\n" );
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document.write( "Check in the OTHER equation:  <BR>\n" );
document.write( "5x+ 6y = 14<BR>\n" );
document.write( "5(4) + 6(-1) = 14<BR>\n" );
document.write( "20 - 6 = 14  <BR>\n" );
document.write( "It checks!!\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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