document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26288>Question 26288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would you find x and y by elimination of substituting this problem?\r<BR>\n" );
document.write( "\n" );
document.write( "    -3x+2y=-6<BR>\n" );
document.write( "    -2x+y=6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14139 by </B><A HREF=/tutors/aboutme.mpl?userid=Ashley1516><B>Ashley1516(4)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Ashley1516><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=14139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> OK.....To solve this problem by substitution, you first need to get either x or y by itself on one side of the equal sign. The y in eq.2(-2x+y=6) is the easiest to work with. Change the -2x to positive 2x and add to itself and 6. Like so:<BR>\n" );
document.write( "-2x+y=6<BR>\n" );
document.write( "+2x  +2x<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "y=2x+6 Now you know what y is and u can substitute it into eq.1(-3x+2y=-6)! Like so:<BR>\n" );
document.write( "-3x+2(2x+6)=-6 Now solve for x:<BR>\n" );
document.write( "-3x+4x+12=-6<BR>\n" );
document.write( "x+12=-6<BR>\n" );
document.write( " -12 -12<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "*x=-18* Now u have x!! Plug x into eq.2 to find y:<BR>\n" );
document.write( "-2(-18)+y=6<BR>\n" );
document.write( "36+y=6<BR>\n" );
document.write( "-36 -36<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "*y=-30* You now have y!!<BR>\n" );
document.write( "YOUR ANSWER IS (x,y):<BR>\n" );
document.write( "*-18,-30*<BR>\n" );
document.write( "Always make sure to check your answer!<BR>\n" );
document.write( "Just plug in your y and x into both equations:<BR>\n" );
document.write( "-3x+2y=-6(eq.1)<BR>\n" );
document.write( "-3(-18)+2(-30)=-6<BR>\n" );
document.write( "54+(-60)=-6<BR>\n" );
document.write( "-6=-6 CORRECT!<BR>\n" );
document.write( "-2x+y=6<BR>\n" );
document.write( "-2(-18)+(-30)=6<BR>\n" );
document.write( "36+(-30)=6<BR>\n" );
document.write( "6=6 CORRECT!<BR>\n" );
document.write( "Well, I really hope this helps and you can understand it!<BR>\n" );
document.write( "~aShLeY~<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );