document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257024>Question 257024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equations for the solutions, x and y.\r<BR>\n" );
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document.write( "x + y = k<BR>\n" );
document.write( "2x + 3y = k + 1\r<BR>\n" );
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document.write( "The lines intersect at (?,?) \r<BR>\n" );
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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 #189028 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=189028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the equations for the solutions, x and y. <BR>\n" );
document.write( "x + y = k<BR>\n" );
document.write( "2x + 3y = k + 1 <BR>\n" );
document.write( "The lines intersect at (?,?) <BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Multiply thru the 1st equation by 2:<BR>\n" );
document.write( "2x + 2y = 2k<BR>\n" );
document.write( "2x + 3y = k+1<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Subtract the 1st from the 2nd, then solve for \"y\":<BR>\n" );
document.write( "y = 1-k<BR>\n" );
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document.write( "Substitute into x+y = k to solve for \"x\":<BR>\n" );
document.write( "x + 1-k = k<BR>\n" );
document.write( "x = 2k+1<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Point of intersection: (2k+1 , 1-k)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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