document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=942939>Question 942939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve by the method of substitution \r<BR>\n" );
document.write( "\n" );
document.write( "4x+2y=10<BR>\n" );
document.write( "x-y=13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575472 by </B><A HREF=/tutors/aboutme.mpl?userid=10009904@richland2.org><B>10009904@richland2.org(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=10009904@richland2.org><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=575472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve for y with the second equation<BR>\n" );
document.write( "4x+2y=10\r<BR>\n" );
document.write( "\n" );
document.write( "x-y=13<BR>\n" );
document.write( "Subtract the x on both sides so the equation ends up looking like this <BR>\n" );
document.write( " -y=-x+13<BR>\n" );
document.write( "then divide all terms by -1<BR>\n" );
document.write( "so then it is y=x-13<BR>\n" );
document.write( "and then you substitute the y in 4x+2y=10 for x-13<BR>\n" );
document.write( "4x+2(x-13)=10<BR>\n" );
document.write( "then you want to distribute the 2 into the x and the -13<BR>\n" );
document.write( "4x+2x-26=10<BR>\n" );
document.write( "add the like terms <BR>\n" );
document.write( "6x-26=10 <BR>\n" );
document.write( "add 26 to both sides of the equal sign so the -26 cancels out<BR>\n" );
document.write( "you end up with <BR>\n" );
document.write( "6x=36<BR>\n" );
document.write( "Now you wanna isolate the x so divide by 6 on both sides <BR>\n" );
document.write( "6x/6 = x 36/6 = 6<BR>\n" );
document.write( "x=6 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );