document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29297>Question 29297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve each system using the substitution method. y-2x=-6,2y-x=5\r<BR>\n" );
document.write( "\n" );
document.write( " next problem. 3a+2b=2,-2a+b=8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17250 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y-2x=-6  ----(1)<BR>\n" );
document.write( "2y-x=5   ----(2)<BR>\n" );
document.write( "(1) implies y = 2x-6 ----(*)<BR>\n" );
document.write( "(transposing -2x, change sign while changing side)<BR>\n" );
document.write( "Putting (*) in (2),that is substituting for y<BR>\n" );
document.write( "2(2x-6)-x=5<BR>\n" );
document.write( "4x-12-x=5<BR>\n" );
document.write( "(4x-x)= 5+12<BR>\n" );
document.write( "3x=17<BR>\n" );
document.write( "x=17/3<BR>\n" );
document.write( "Putting x = 17/3 in (*)<BR>\n" );
document.write( "y = 2x-6 = 2X(17/3)-6 = 34/3-6 = (34-18)/3 = 16/3<BR>\n" );
document.write( "Answer: x = 17/3 and y = 16/3<BR>\n" );
document.write( "Verification: Putting x = 17/3 and y = 16/3 in (2)<BR>\n" );
document.write( "LHS = 2y-x = 32/3-17/3 = 15/3 =5 = RHS<BR>\n" );
document.write( "Therefore our values are correct.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2)<BR>\n" );
document.write( "3a+2b=2  ----(1)<BR>\n" );
document.write( "-2a+b=8   ----(2)<BR>\n" );
document.write( "(2) implies<BR>\n" );
document.write( "b = 8+2a ----(*)(transposing -2a, change sign while changing side)<BR>\n" );
document.write( "Putting (*) in (1),that is substituting for b<BR>\n" );
document.write( "3a+2(8+2a)= 2<BR>\n" );
document.write( "3a+16+4a=2<BR>\n" );
document.write( "(3a+4a) = 2-16<BR>\n" );
document.write( "7a = -14<BR>\n" );
document.write( "a = -14/7 = -2<BR>\n" );
document.write( "a=-2 in (*) implies<BR>\n" );
document.write( "b = 8+2a = 8+2X(-2) = 8-4 = 4<BR>\n" );
document.write( "Answer: a = -2 and b = 4<BR>\n" );
document.write( "Verification: Putting a = -2 and b = 4 in (1)<BR>\n" );
document.write( "LHS = 3a+2b = -6+8 = 2= RHS<BR>\n" );
document.write( "Therefore our values are correct.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );