document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22132>Question 22132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do Yougraph and solve {3x+4y=2<BR>\n" );
document.write( "                           x-y=1<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 #11708 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=11708\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve two equations and two unknowns by graphing (which is NOT the best way to solve a system of equations like this!), you have to draw the graphs first.  You can either solve for y and graph by the slope-intercept method, or you can just find the two intercepts for each line, and graph those.  I prefer the second method, finding the two intercepts, since these equations are written in standard form.\r<BR>\n" );
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document.write( "3x+4y = 2<BR>\n" );
document.write( "Let x =0, then 4y = 2, so y = 1/2<BR>\n" );
document.write( "Let y= 0, then 3x = 2, so x = 2/3\r<BR>\n" );
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document.write( "x-y=1<BR>\n" );
document.write( "Let x=0, then -y = 1, so y = -1<BR>\n" );
document.write( "Let y=0, then x= 1.  \r<BR>\n" );
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document.write( "Graph these two lines, and see where the graphs intersect.  You might be able to identify the point where they cross, and this will be the solution point.\r<BR>\n" );
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document.write( "You can see that they cross at an uneven point, very close to x= 1 and y= 0.  If you want to find the point where they cross, you should probably solve the system by the elimination method, which give you a EXACT values for the point of intersection.\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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