document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255100>Question 255100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have two questions:\r<BR>\n" );
document.write( "\n" );
document.write( "Solve the system and find the point of the intersection.\r<BR>\n" );
document.write( "\n" );
document.write( "The sum of two numbers is 2. If one number is subtracted from the other, their difference is 8.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thanks in Advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187408 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=187408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have two questions: <BR>\n" );
document.write( "Solve the system and find the point of the intersection. <BR>\n" );
document.write( "The sum of two numbers is 2. If one number is subtracted from the other, their difference is 8.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x + y = 2<BR>\n" );
document.write( "x - y = 8<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Add and solve for \"x\":<BR>\n" );
document.write( "2x = 10<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Since x + y = 2, y = 2-5 = -3<BR>\n" );
document.write( "-------------------------------------- \r<BR>\n" );
document.write( "\n" );
document.write( "The sum of three times a first number and twice a second number is 8. If the second number is subtracted from twice the first number, the result is 3.<BR>\n" );
document.write( "3x + 2y = 8<BR>\n" );
document.write( "2x - y = 3<BR>\n" );
document.write( "------<BR>\n" );
document.write( "y = 2x-3<BR>\n" );
document.write( "Substitute for \"y\" and solve for \"x\":<BR>\n" );
document.write( "3x + 2(2x-3) = 8<BR>\n" );
document.write( "3x + 4x - 6 = 8<BR>\n" );
document.write( "7x = 14<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Since y = 2x-3<BR>\n" );
document.write( "y = 2*2-3 = 1<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );