document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51320>Question 51320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find values for m and b in the following system so that the solution to te system is ( -3, 4).<BR>\n" );
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 #34261 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=34261\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the values of m and b given the solution to the system is (-3, 4):<BR>\n" );
document.write( "5x + 7y = b<BR>\n" );
document.write( "mx +y = 22\r<BR>\n" );
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document.write( "Substitute the x- and y-coordinates from the given point (-3, 4) into each equation and solve for the b and m.\r<BR>\n" );
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document.write( "5(-3) + 7(4) = b Simplify.<BR>\n" );
document.write( "-15 + 28 = b<BR>\n" );
document.write( "b = 13\r<BR>\n" );
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document.write( "mx + y = 22<BR>\n" );
document.write( "m(-3) + 4 = 22 Subtract 4 from both sides of the equation.<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( "You can verify these solutions by substituting b = 13 and m = -6 into the appropriate equation and doing the math.<BR>\n" );
document.write( "Try this yourself. </SPAN>\n" );
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