document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=47880>Question 47880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find values of m and b in the following system so that the solution to the system is (-3,4)\r<BR>\n" );
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document.write( "5x+7y=b and mx+y=22 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31695 by </B><A HREF=/tutors/aboutme.mpl?userid=pizza><B>pizza(14)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pizza><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=31695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, intuitively, one is supposed to see that the question is asking you to find the equation of two lines such that they intersect at (-3,4). This means we can actually treat each equation separately, and find b such that the line goes through (-3,4) and then find m similarly. If you have studied the equation of lines, then you should be on your way now. Otherwise...\r<BR>\n" );
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document.write( "First, 5x + 7y = b<BR>\n" );
document.write( "Substitute x = -3, y = 4 into the equation <BR>\n" );
document.write( "to get 5(-3) + 7(4) = 13 = b<BR>\n" );
document.write( "So b=13.\r<BR>\n" );
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document.write( "Secondly, mx+y =22<BR>\n" );
document.write( "Substitute x and y as before,<BR>\n" );
document.write( "to get m(-3) + 4 = 22<BR>\n" );
document.write( "which becomes m = 18/(-3) = -6<BR>\n" );
document.write( "So m = -6 </SPAN>\n" );
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