document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204970>Question 204970</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to see how many solutions exist in this linear equation. Then I need to graph the two lines the linear equation makes. 0.2x + 0.4y = 1.7 and 8.3x - 6.3y = -4.3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154738 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=154738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to see how many solutions exist in this linear equation. Then I need to graph the two lines the linear equation makes. <BR>\n" );
document.write( "0.2x + 0.4y = 1.7 <BR>\n" );
document.write( "8.3x - 6.3y = -4.3\r<BR>\n" );
document.write( "\n" );
document.write( "------------------------<BR>\n" );
document.write( "Multiply thru both equations by 10 to get rid of the decimals:<BR>\n" );
document.write( "2x + 4y = 17<BR>\n" );
document.write( "83x - 63y = -43<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Multiply thru the 1st equation by 83; Multiply thru the 2nd equationby 2:<BR>\n" );
document.write( "166x + 332y = 83*17<BR>\n" );
document.write( "166x - 126y = -86<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Subtract the 2nd equation from the 1st to solve for \"y\":<BR>\n" );
document.write( "458y = 1497<BR>\n" );
document.write( "y = 3.268559..<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Substitute into 2x + 4y = 17 to solve for \"x\":<BR>\n" );
document.write( "x = 1.963495..<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-1%2F2%29x%2B%2817%2F4%29%2C%2893%2F63%29x%2B%2843%2F63%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "y = <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );