document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252940>Question 252940</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the solution to each system by the substitution method. 10x + 3y =8 and 2x + y = 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185097 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=185097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here are the equations:<BR>\n" );
document.write( "(i) 10x + 3y = 8<BR>\n" );
document.write( "(ii) 2x + y = 2<BR>\n" );
document.write( "Solve (ii) for y. It is easiest.<BR>\n" );
document.write( "(i) 10x + 3y = 8<BR>\n" );
document.write( "(iii) y = -2x + 2<BR>\n" );
document.write( "substitute (iii) into (i) to get<BR>\n" );
document.write( "10x + 3(-2x+2) = 8<BR>\n" );
document.write( "10x - 6x + 6 = 8<BR>\n" );
document.write( "4X = 2<BR>\n" );
document.write( "X = 1/2<BR>\n" );
document.write( "find Y.<BR>\n" );
document.write( "Y = 1.<BR>\n" );
document.write( "(1/2, 1) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );