document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=865016>Question 865016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations by substitution:<BR>\n" );
document.write( "3x - y = 4<BR>\n" );
document.write( "x + 5y = -4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521506 by </B><A HREF=/tutors/aboutme.mpl?userid=lenny460><B>lenny460(1073)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lenny460><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=lenny460><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=521506\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations by substitution:<BR>\n" );
document.write( "3x - y = 4 (Equation 1)<BR>\n" );
document.write( "x + 5y = -4 (Equation 2)\r<BR>\n" );
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document.write( "3x - y = 4\r<BR>\n" );
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document.write( "Subtract 3x from each side of the equation.\r<BR>\n" );
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document.write( "3x - y - 3x = 4 - 3x\r<BR>\n" );
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document.write( "-y = 4 - 3x\r<BR>\n" );
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document.write( "Divide each side by -1\r<BR>\n" );
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document.write( "y = -4 + 3x (Equation 3)\r<BR>\n" );
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document.write( "Substitute Equation 3 into Equation 2.\r<BR>\n" );
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document.write( "x + 5y = -4\r<BR>\n" );
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document.write( "x + 5(-4 + 3x) = -4\r<BR>\n" );
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document.write( "x - 20 + 15x = -4\r<BR>\n" );
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document.write( "16x - 20 = -4\r<BR>\n" );
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document.write( "16x - 20 + 20 = -4 + 20\r<BR>\n" );
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document.write( "16x = 16\r<BR>\n" );
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document.write( "x = 1\r<BR>\n" );
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document.write( "Substitute x = 1 into Equation 1.\r<BR>\n" );
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document.write( "3x - y = 4\r<BR>\n" );
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document.write( "3(1) - y = 4\r<BR>\n" );
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document.write( "3 - y = 4\r<BR>\n" );
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document.write( "3 - y - 3 = 4 - 3\r<BR>\n" );
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document.write( "-y = 1\r<BR>\n" );
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document.write( "Divide each side by -1\r<BR>\n" );
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document.write( "y = -1\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "x = 1\r<BR>\n" );
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document.write( "y = -1\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );