document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=299381>Question 299381</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the equation 2x-3y=12 and x+y=4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215127 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=215127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "Let's use substitution for these: <BR>\n" );
document.write( "2x-3y=12 <BR>\n" );
document.write( "x+y=4  Subtract y from both sides to get:<BR>\n" );
document.write( "x=4-y Now we can plug this into the first equation to get:<BR>\n" );
document.write( "2(4-y)-3y=12 Are you with me? OK now solve for y:<BR>\n" );
document.write( "8-2y-3y=12 Subtract 8 and divide by -5 to get:<BR>\n" );
document.write( "y=-4/5<BR>\n" );
document.write( "From here plug this into either of the original equations. I'll choose the second one. <BR>\n" );
document.write( "x+(-4/5)=4 Add 4/5 to both sides and:<BR>\n" );
document.write( "x=4 4/5<BR>\n" );
document.write( "You can check these answers by plugging it into either equation. <BR>\n" );
document.write( "Make Sense? <BR>\n" );
document.write( "RJ <BR>\n" );
document.write( "www.math-unlock.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );