document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71132>Question 71132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find values for 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<BR>\n" );
document.write( "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 #50851 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=50851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Our approach will be to plug the solution into the equations and solve for b and m:\r<BR>\n" );
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document.write( "5(-3)+7(4)=b<BR>\n" );
document.write( "-15+28=b<BR>\n" );
document.write( "b=13\r<BR>\n" );
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document.write( "and:\r<BR>\n" );
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document.write( "m(-3)+4=22  subtract 4 from both sides<BR>\n" );
document.write( "-3m=22-4<BR>\n" );
document.write( "-3m=18  divide both sides by -3<BR>\n" );
document.write( "m=-6\r<BR>\n" );
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document.write( "So our equations are:\r<BR>\n" );
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document.write( " 5x+7y=13<BR>\n" );
document.write( " -6x+y=22\r<BR>\n" );
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document.write( "You can verify that (-3,4) is the solution\r<BR>\n" );
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document.write( "Hope this helps----ptaylor<BR>\n" );
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