document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104506>Question 104506</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve the following system by substitution<BR>\n" );
document.write( "5x-2y=-5\r<BR>\n" );
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document.write( "y-5x=3<BR>\n" );
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document.write( "The solution for this system is =>\r<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 #76046 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=76046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by substitution:<BR>\n" );
document.write( "1) 5x-2y = 5\r<BR>\n" );
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document.write( "2) y-5x = 3<BR>\n" );
document.write( "You have a choice. You can solve this equation for y and substitute into equation 1) and then solve that for x...or...you can solve this equation for 5x and substitute into equation 1) and solve that for y.<BR>\n" );
document.write( "Let's try the first choice, solve equation 2) for y.<BR>\n" );
document.write( "2) y = 5x+3 Now substitute this into equation 1)<BR>\n" );
document.write( "1) 5x-2(5x+3) = 5 Simplify.<BR>\n" );
document.write( "5x-10x-6 = 5<BR>\n" );
document.write( "-5x-6 = 5 Add 5 6 to both sides.<BR>\n" );
document.write( "-5x = 11 Divide both sides by -5<BR>\n" );
document.write( "x = -11/5  Now substitute this for x into either of the two original equations and solve for y. Let's use the second equation:<BR>\n" );
document.write( "y-5x = 3  Substitute x = -11/5<BR>\n" );
document.write( "y-5(-11/5) = 3 Simplify.<BR>\n" );
document.write( "y+11 = 3 Subtract 11 from both sides.<BR>\n" );
document.write( "y = - 8<BR>\n" );
document.write( "The solution is: (-11/5, -8) Let's check the graph of the two lines represented by the two equations.<BR>\n" );
document.write( "The solution will be seen as the point of intersection of the two lines.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C400%2C-5%2C5%2C-10%2C5%2C5x%2B3%2C%285%2F2%29x-5%2F2%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C400%2C-5%2C5%2C-10%2C5%2C5x%2B3%2C%285%2F2%29x-5%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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