document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172191>Question 1172191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> System of Linear Equations<BR>\n" );
document.write( "Read and solve for the values of the unknown using the suggested method.<BR>\n" );
document.write( "show the solutions.\r<BR>\n" );
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document.write( "2.By Substitution method:<BR>\n" );
document.write( "4x + 5y = -8<BR>\n" );
document.write( "3x + y = 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797116 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x + 5y = -8<BR>\n" );
document.write( "3x + y = 5<BR>\n" );
document.write( "solve for y in the second equation to get:<BR>\n" );
document.write( "y = 5 - 3x<BR>\n" );
document.write( "replace y in the first equation with that to get:<BR>\n" );
document.write( "4x + 5 * (5 - 3x) = -8<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "4x + 25 - 15x = -8<BR>\n" );
document.write( "subtract 25 from both sides of the equation to get:<BR>\n" );
document.write( "4x - 15x = -8 - 25<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "-11x = -33<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "replace x in either original equation with 3 to get:<BR>\n" );
document.write( "4x + 5y = -8 becomes:<BR>\n" );
document.write( "4*3 + 5y = -8 which becomes<BR>\n" );
document.write( "12 + 5y = -8<BR>\n" );
document.write( "subtract 12 from both sides of the equation to get:<BR>\n" );
document.write( "5y  = -20<BR>\n" );
document.write( "solve for y to get:<BR>\n" );
document.write( "y = -4<BR>\n" );
document.write( "you have:<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "y = -4<BR>\n" );
document.write( "confirm by replacing x and y in both original equations to get:<BR>\n" );
document.write( "4x + 5y = -8 becomes 12 - 20 = -8 which becomes -8 = -8 which is true.<BR>\n" );
document.write( "3x + y = 5 becomes 9 - 4 = 5 which becomes 5 = 5 which is true.<BR>\n" );
document.write( "both equations are true when x = 3 and y= -4.<BR>\n" );
document.write( "your solution is that the value of x is 3 and the value of y is -4.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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