document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888794>Question 888794</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following system graphically <BR>\n" );
document.write( "4y = x + 4<BR>\n" );
document.write( "x = 2/3y + 8/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #537690 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrapro18><B>algebrapro18(249)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrapro18><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=537690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Steps for solving a system of equation graphically:<BR>\n" );
document.write( "1)Get the first equation into y=mx+b form(solve for y)<BR>\n" );
document.write( "2)Find your M and B(M=slope and B = Y-intercept) <BR>\n" );
document.write( "3)Use your B and M to find two points on the line.  These points will be (0,B) and (0+Change in x,B+Change in y).<BR>\n" );
document.write( "4)Get the second equation into y=mx+b form(solve for y)<BR>\n" );
document.write( "5)Find your M and B(M=slope and B = Y-intercept) <BR>\n" );
document.write( "6)Use your B and M to find two points on the line.  These points will be (0,B) and (0+Change in x,B+Change in y).<BR>\n" );
document.write( "7)Graph the lines(plot the points from 3 and connect them and plot the points from 6 and connect them)<BR>\n" );
document.write( "8) Find the point where the two lines intersect.\r<BR>\n" );
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document.write( "These will be the steps you follow for every problem you need to solve systems graphically.\r<BR>\n" );
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document.write( "For our problem we:\r<BR>\n" );
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document.write( "1) Solve 4y=x+4 for y<br>\r<BR>\n" );
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document.write( "4y=x+4 divide both sides by 4<BR>\n" );
document.write( "y = 1/4x + 1<br>\r<BR>\n" );
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document.write( "2) Our  m = 1/4 and our b = 1.  Remember that slope is change in y over change in x we will need that for the next step.<br>\r<BR>\n" );
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document.write( "3)Our points are going to be (0,b) and (0+Change in x,B+Change in y).  Plugging in we get (0,1) and (0+4,1+1) or (4,2). <br>\r<BR>\n" );
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document.write( "4) Solve 2/3y+8/3 = x for y<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29y%2B8%2F3+=+x ALIGN=MIDDLE  ALT=\"%282%2F3%29y%2B8%2F3+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > subtract 8/3 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29y=x-8%2F3 ALIGN=MIDDLE  ALT=\"%282%2F3%29y=x-8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 3/2<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%29x-%283%2F2%29%2A%288%2F3%29 ALIGN=MIDDLE  ALT=\"%283%2F2%29x-%283%2F2%29%2A%288%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%29x-4 ALIGN=MIDDLE  ALT=\"%283%2F2%29x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "5) Our m = 3/2 and our b = -4.  <br><BR>\n" );
document.write( "6)Our points are going to be (0,-4) and (0+2,-4+3) or (2,-1).<br>  \r<BR>\n" );
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document.write( "I will leave you to graphing the points (0,1),(4,2),(0,-4), and (2,-1) and seeing where the two lines intersect but you should get the point (4,2). </SPAN>\n" );
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