document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905737>Question 905737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I identify the solution of 5x+2y=4 and 4x-2y=4? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549406 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=549406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the solution of 5x+2y=4 and 4x-2y=4 will be the point of intersection of the two lines,  begin by putting each each equation in standard line format, y =mx+b<BR>\n" );
document.write( "a) 5x +2y = 4<BR>\n" );
document.write( "2y = -5x +4<BR>\n" );
document.write( "y = -5x/2 + 2 (this will be red line on graph)<BR>\n" );
document.write( "b) 4x -2y = 4<BR>\n" );
document.write( "-2y = -4x +4<BR>\n" );
document.write( "y = 2x - 2 (this will be green line on graph)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+10%2C+-15%2C+15%2C+-5x%2F2+%2B+2%2C+2x+-+2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-15%2C+15%2C+-5x%2F2+%2B+2%2C+2x+-+2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we can see from the graph that the point of intersection is (8/9, -2/9)<BR>\n" );
document.write( "we can check this solution by setting the two standard forms of our equation equal to each other and solving for x<BR>\n" );
document.write( "-5x/2 +2 = 2x -2<BR>\n" );
document.write( "add 2 to both sides of =<BR>\n" );
document.write( "-5x/2 +4 = = 2x<BR>\n" );
document.write( "subtract 2x from both sides of =<BR>\n" );
document.write( "-9x/2 +4 = 0<BR>\n" );
document.write( "subtract 4 from both sides of =<BR>\n" );
document.write( "-9x/2 = -4<BR>\n" );
document.write( "-9x = -8<BR>\n" );
document.write( "x = 8/9 <BR>\n" );
document.write( "then substitute for x in either equation to get y<BR>\n" );
document.write( "b) y = 2*8/9 -2<BR>\n" );
document.write( "y = 16/9 - 18/9<BR>\n" );
document.write( "y = -2/9<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
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