document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59063>Question 59063</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<BR>\n" );
document.write( "is (-3, 4).<BR>\n" );
document.write( "5x + 7y = b<BR>\n" );
document.write( "mx + y = 22<BR>\n" );
document.write( "Thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40512 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=40512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find values for m and b in the following system so that the solution to the system<BR>\n" );
document.write( "is (-3, 4).<BR>\n" );
document.write( "L1) 5x + 7y = b<BR>\n" );
document.write( "L2) mx + y = 22<BR>\n" );
document.write( "Let x=-3 and y=4 in L1 and solve for b:<BR>\n" );
document.write( "5(-3)+7(4)=b<BR>\n" );
document.write( "-15+28=b<BR>\n" );
document.write( "13=b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=13%29 ALIGN=MIDDLE  ALT=\"highlight%28b=13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Now let x=-3 and y=4 in L2 and solve for m:<BR>\n" );
document.write( "m(-3)+4=22<BR>\n" );
document.write( "-3m+4=22<BR>\n" );
document.write( "-3m+4-4=22-4<BR>\n" );
document.write( "-3m=18<BR>\n" );
document.write( "-3m/-3=18/-3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28m=-6%29 ALIGN=MIDDLE  ALT=\"highlight%28m=-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check it out.  Your system for which (-3,4) is a solution is:<BR>\n" );
document.write( "5x+7y=13--->>5(-3)+7(4)=13---->>-15+28=13--->>13=13<BR>\n" );
document.write( "-6x+y=22---->>>-6(-3)+(4)=22--->>18+4=22---->>22=22<BR>\n" );
document.write( "We're Right!!!<BR>\n" );
document.write( "Happy Calculating!!!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );