document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=50183>Question 50183</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073016020/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> tried to use the linear system solver and cannot figure it out. Keeps telling me there is an error.\r<BR>\n" );
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document.write( "Please help solve the system by substitution.\r<BR>\n" );
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document.write( "4x-12y=5<BR>\n" );
document.write( "-x+3y=-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33372 by </B><A HREF=/tutors/aboutme.mpl?userid=junior403><B>junior403(76)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=junior403><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=33372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system by substitution.\r<BR>\n" );
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document.write( "4x -12y = 5<BR>\n" );
document.write( "-x + 3y = -1\r<BR>\n" );
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document.write( "First we need to figure our which equation we want to use as the substitution and solve for one of the variables.\r<BR>\n" );
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document.write( "-x + 3y = -1 seems like the best choice since the x variable has the coefficieant of 1. So lets solve for x in order to isolate the variable.\r<BR>\n" );
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document.write( "-x + 3y = -1<BR>\n" );
document.write( "lets subtract 3y from both sides to isolate the x.<BR>\n" );
document.write( "so...\r<BR>\n" );
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document.write( "-x = -3y - 1<BR>\n" );
document.write( "now we can distribute out the - sign to make it easier.\r<BR>\n" );
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document.write( "x = 3y +1<BR>\n" );
document.write( "now we simply substitute our new equation for the variable x in the secound equation 4x - 12y = 5\r<BR>\n" );
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document.write( "4(3y +1) -12y = 5\r<BR>\n" );
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document.write( "Now we can just solve.\r<BR>\n" );
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document.write( "4(3y +1) -12y = 5<BR>\n" );
document.write( "12y +4 -12y = 5<BR>\n" );
document.write( "4 = 5<BR>\n" );
document.write( "is this possible?<BR>\n" );
document.write( "No.<BR>\n" );
document.write( "so our solution 0 or empty set { }.\r<BR>\n" );
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document.write( "I hope this helps.<BR>\n" );
document.write( "Good Luck!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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