document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=46404>Question 46404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help with this word problem?<BR>\n" );
document.write( "I need help finding the 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\r<BR>\n" );
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document.write( "-Nina </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #30763 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=30763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since you have the solution to this system of equations, (-3, 4), you know that this point satisfies both equations.  Therefore, you can substitute the x- and y-cordinates of the point into the two equations and solve for the missing attribute (b and m) of the equations. Does this make sense?\r<BR>\n" );
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document.write( "5x+7y = b Substitute x = -3 and y = 4 from the point (-3, 4), and solve for b.<BR>\n" );
document.write( "5(-3)+7(4) = b<BR>\n" );
document.write( "-15 + 28 =b<BR>\n" );
document.write( "b = 13 Done!\r<BR>\n" );
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document.write( "mx+y = 22 Substitute x = -3 and y = 4 from the point (-3, 4), and solve for m.<BR>\n" );
document.write( "m(-3)+4 = 22 <BR>\n" );
document.write( "-3m + 4 = 22 Subtract 4 from both sides.<BR>\n" );
document.write( "-3m = 18 Divide both sides by -3<BR>\n" );
document.write( "m = -6 Done! </SPAN>\n" );
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