document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=702243>Question 702243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this linear equation using substitution\r<BR>\n" );
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document.write( "0.6x - 0.2y = -0.2<BR>\n" );
document.write( "-0.03x - 0.07y = 0.17\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432858 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=432858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "(1) .6x -.2y = -.2<BR>\n" );
document.write( "(2) -.03x -.07y = .17<BR>\n" );
document.write( "First, make it easy on yourself by getting rid of the decimals. Multiply (1) by 10 and (2) by 100 and get<BR>\n" );
document.write( "(3) 6x - 2y = -2<BR>\n" );
document.write( "(4) -3x - 7y = 17<BR>\n" );
document.write( "Now solve (3) for y<BR>\n" );
document.write( "(5) 6x + 2 = 2y or<BR>\n" );
document.write( "(6) y = 3x + 1<BR>\n" );
document.write( "Now substitute (6) into (4) and get<BR>\n" );
document.write( "(7) -3x - 7(3x+1) = 17 or<BR>\n" );
document.write( "(8) -3x -21x -7 = 17 or<BR>\n" );
document.write( "(9) -24x = 24 or<BR>\n" );
document.write( "(10) x = -1<BR>\n" );
document.write( "Now use (6) to find y<BR>\n" );
document.write( "(11) y = 3(-1) + 1 or<BR>\n" );
document.write( "(12) y = -2<BR>\n" );
document.write( "Check this pair using (1).<BR>\n" );
document.write( "Is (.6(-1) - .2(-2) = -.2)?<BR>\n" );
document.write( "Is (-.6 + .4 = -.2)?<BR>\n" );
document.write( "Is (-.2 = -.2)? Yes<BR>\n" );
document.write( "Answer: The solution pair is (-1,-2) </SPAN>\n" );
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