document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183045>Question 183045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equations for x and y or state that<BR>\n" );
document.write( "there is no solution.\r<BR>\n" );
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document.write( "5x - 4y = 2<BR>\n" );
document.write( "4x - 5y = -1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137421 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=137421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x - 4y = 2<BR>\n" );
document.write( "4x - 5y = -1<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Multiply 1st thru by 4 and 2nd thru by 5 to get:<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "20x - 16y = 8<BR>\n" );
document.write( "20x - 25y = -5<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Subtract 2nd from 1st to get:<BR>\n" );
document.write( "9y = 13<BR>\n" );
document.write( "y = 13/9<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Substitute into 4x - 5y = -1 to solve for \"x\":<BR>\n" );
document.write( " 4x - 5(13/9) = -1<BR>\n" );
document.write( "36x - 65 = -9<BR>\n" );
document.write( "36x = 56<BR>\n" );
document.write( "x = 14/9<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "x = 14/9 ; y = 13/9<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );