document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433602>Question 433602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve using systems of equations\r<BR>\n" );
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document.write( "x+4y=3 (1)\r<BR>\n" );
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document.write( "x=4-4y (2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300575 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + 4y = 3<BR>\n" );
document.write( "x = 4 - 4y \r<BR>\n" );
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document.write( "4 - 4y + 4y = 3 {substituted 4 - 4y, in for x, into top equation}<BR>\n" );
document.write( "4 = 3 {combined like terms}<BR>\n" );
document.write( "= no solution\r<BR>\n" );
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document.write( "Note:<BR>\n" );
document.write( "- when solving a system of equations, and the variable disappears, leaving<BR>\n" );
document.write( "a false statement, there is \"no solution\", meaning these two lines never meet.<BR>\n" );
document.write( "They are parallel lines.<BR>\n" );
document.write( "- When solving a system of equations, and the variable disappears, leaving a <BR>\n" );
document.write( "statement that is always true, there are \"infinite solutions\", meaning the two lines are the same.<BR>\n" );
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