document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=422028>Question 422028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> algebracially solve the system of equations. show your work.\r<BR>\n" );
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document.write( "ax-by=b+a<BR>\n" );
document.write( "bx+ay=b+a </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294612 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=294612\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The key here is to eliminate one variable so we can solve for the other. So I'm going to eliminate y.\r<BR>\n" );
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document.write( "ax-by=b+a<BR>\n" );
document.write( "bx+ay=b+a\r<BR>\n" );
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document.write( "a^2x-aby=ab+a^2<BR>\n" );
document.write( "b^2x+aby=b^2+ab\r<BR>\n" );
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document.write( "Note: I multiplied both sides of the first equation by 'a' and both sides of the second equation by 'b'\r<BR>\n" );
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document.write( "Now add the two equations to get\r<BR>\n" );
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document.write( "a^2x+b^2x=a^2+2ab+b^2\r<BR>\n" );
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document.write( "(a^2+b^2)x=a^2+2ab+b^2\r<BR>\n" );
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document.write( "x=(a^2+2ab+b^2)/(a^2+b^2)\r<BR>\n" );
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document.write( "Now that we know that x=(a^2+2ab+b^2)/(a^2+b^2), we can use it to solve for 'y'. I'll let you do that. </SPAN>\n" );
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