document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=238838>Question 238838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for X and Y in the following problems using either substitution or elimination methods.  Make sure you show all your work so you can get partial credit even if your final answer is wrong.<BR>\n" );
document.write( "a.   X + Y= 6 ,  2X + Y = 8<BR>\n" );
document.write( "b.  7X + 3Y = 14 ,  5X + 9Y = 10<BR>\n" );
document.write( "c.  4X + Y = 16 ,    2X + 3Y = 24<BR>\n" );
document.write( "d.  12X + Y = 25 ,  8X - 2Y = 14<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175489 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=175489\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. <BR>\n" );
document.write( "   X + Y = 6  <BR>\n" );
document.write( "-(2X + Y = 8) SUBTRACT.<BR>\n" );
document.write( "------------ <BR>\n" );
document.write( "-X=-2<BR>\n" );
document.write( "X=2 ANS.<BR>\n" );
document.write( "-2+Y=6<BR>\n" );
document.write( "Y=6+2<BR>\n" );
document.write( "Y=8 ANS. <BR>\n" );
document.write( "2*2+Y=8<BR>\n" );
document.write( "4+Y=8<BR>\n" );
document.write( "Y=8-4<BR>\n" );
document.write( "Y=4 ANS.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "2+4=6<BR>\n" );
document.write( "6=6<BR>\n" );
document.write( "2*2+4-8<BR>\n" );
document.write( "4+4=8<BR>\n" );
document.write( "8=8\r<BR>\n" );
document.write( "\n" );
document.write( "b.<BR>\n" );
document.write( "7X + 3Y = 14 MULTIPLY BUY -3 & ADD<BR>\n" );
document.write( "5X + 9Y = 10<BR>\n" );
document.write( "-21X-9Y=-42<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "-16X=-32<BR>\n" );
document.write( "X=-32/-16<BR>\n" );
document.write( "X=2 ANS.<BR>\n" );
document.write( "7*2+3Y=14<BR>\n" );
document.write( "14+3Y=14<BR>\n" );
document.write( "3Y=14-14<BR>\n" );
document.write( "3Y=0<BR>\n" );
document.write( "Y=0 ANS.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "5*2+9*0=10<BR>\n" );
document.write( "10=10\r<BR>\n" );
document.write( "\n" );
document.write( "c.  <BR>\n" );
document.write( "4X + Y = 16 MULTIPLY BY -3 & ADD<BR>\n" );
document.write( "2X + 3Y = 24<BR>\n" );
document.write( "-12X-3Y=-48<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "-10X=-24<BR>\n" );
document.write( "X=-24/-10<BR>\n" );
document.write( "X=2.4 ANS.<BR>\n" );
document.write( "4*2.4+Y=16<BR>\n" );
document.write( "9.6+Y=16<BR>\n" );
document.write( "Y=16-9.6<BR>\n" );
document.write( "Y=6.4 ANS.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "2*2.4+3*6.4=24<BR>\n" );
document.write( "4.8+19.2=24<BR>\n" );
document.write( "24=24<BR>\n" );
document.write( "d.<BR>\n" );
document.write( "12X + Y = 25 MULTIPLY BY 2 & ADD .<BR>\n" );
document.write( "8X - 2Y = 14<BR>\n" );
document.write( "24X+2Y=50<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "32X=64<BR>\n" );
document.write( "X=64/32<BR>\n" );
document.write( "X=2 ANS.<BR>\n" );
document.write( "12*2+Y=25<BR>\n" );
document.write( "24+Y=25<BR>\n" );
document.write( "Y=25-14<BR>\n" );
document.write( "Y=1 ANS.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "8*2-2*1=14<BR>\n" );
document.write( "16-2=14<BR>\n" );
document.write( "14=14 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );