document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=680335>Question 680335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve system by graphing for example : <BR>\n" );
document.write( "2x+4y=12<BR>\n" );
document.write( "x+y=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422295 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=422295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set into y=mx+b format<BR>\n" );
document.write( "...<BR>\n" );
document.write( "2x+4y=12<BR>\n" );
document.write( "4y = -2x + 12<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%2F4%29x+%2B+12%2F4 ALIGN=MIDDLE  ALT=\"%28-2%2F4%29x+%2B+12%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y+=+%28-1%2F2%29x+%2B+3%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y+=+%28-1%2F2%29x+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Graph the intercepts<BR>\n" );
document.write( "y intercept is 3 <BR>\n" );
document.write( "Plot (0, 3)<BR>\n" );
document.write( "x intercept is where y = 0<BR>\n" );
document.write( "0 = (-1/2)x+3<BR>\n" );
document.write( "-3 = (-1/2)x<BR>\n" );
document.write( "-3(-2) = x<BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "Plot (6, 0)<BR>\n" );
document.write( "Draw a line through the intercepts<BR>\n" );
document.write( "...<BR>\n" );
document.write( "x+y=2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+-x+%2B+2%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+-x+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Graph the intercepts<BR>\n" );
document.write( "y intercept is 2<BR>\n" );
document.write( "Plot (0, 2)<BR>\n" );
document.write( "x intercept is where y = 0<BR>\n" );
document.write( "0 = -x + 2<BR>\n" );
document.write( "-2 = -x<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "Plot (2, 0)<BR>\n" );
document.write( "Draw a line through the intercepts<BR>\n" );
document.write( "...<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Where the line cross is the solution for the system.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-4%2C2%2C-2%2C6%2C-x%2B2%2C%28-1%2F2%29x%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-4%2C2%2C-2%2C6%2C-x%2B2%2C%28-1%2F2%29x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Algebraically,<BR>\n" );
document.write( "set the lines equal to each other<BR>\n" );
document.write( "-x + 2 = (-1/2)x + 3<BR>\n" );
document.write( "(-x + (1/2)x = 3 - 2<BR>\n" );
document.write( "(-1/2)x = 1<BR>\n" );
document.write( "x = -2<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Substitute x into either of the equations and solve for y<BR>\n" );
document.write( "y = -x + 2<BR>\n" );
document.write( "y = -(-2) + 2 = 2 + 2 = 4<BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "...<BR>\n" );
document.write( "(-2,4) is the solution or point of intersection\r<BR>\n" );
document.write( "\n" );
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