document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110139>Question 110139</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Could you please tell me if I did some of this problem correct? It says to find the values for m and b the solution to the system is (-3,4).<BR>\n" );
document.write( "5x+7y=b<BR>\n" );
document.write( "mx+y=22<BR>\n" );
document.write( "so I did this 5(-3)+7(4)=b  b=5(-3)+7(4), b=-15+28, b=13, but I don't know what to do with mx+b=22???\r<BR>\n" );
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document.write( "Thanks you for your help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80246 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=80246\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It looks like you got half of it right:<BR>\n" );
document.write( "This same problem came up a few weeks ago, this is what I submitted then<BR>\n" );
document.write( "Perhaps it will help you.\r<BR>\n" );
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document.write( "Find values for m and b in the following system so that the solution to the system is (-3,4)<BR>\n" );
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document.write( "They want you find both equations of a two-equation system<BR>\n" );
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document.write( "Find the 1st equation:<BR>\n" );
document.write( "5x + 7y = b<BR>\n" );
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document.write( "Find b by using x,y coordinates given -3, 4<BR>\n" );
document.write( "5(-3) + 7(4) = b<BR>\n" );
document.write( "-15 + 28 = b<BR>\n" );
document.write( "b = + 13<BR>\n" );
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document.write( "Find the slope (m): using y = mx + 13, using the given coordinates again<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "4 = m(-3) + 13<BR>\n" );
document.write( "4 = -3m + 13<BR>\n" );
document.write( "3m = 13 - 4<BR>\n" );
document.write( "3m = 9<BR>\n" );
document.write( "m = +3<BR>\n" );
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document.write( "the 1st equation: y = 3x + 13; (m = +3 and b = +13)<BR>\n" );
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document.write( "Find the 2nd equation:<BR>\n" );
document.write( "mx + y = 22<BR>\n" );
document.write( "Find the slope (m) using the given coordinates x,y; -3,4<BR>\n" );
document.write( "m(-3) + 4 = 22<BR>\n" );
document.write( "-3m = 22 - 4<BR>\n" );
document.write( "-3m = 18<BR>\n" );
document.write( "m = 18/-3<BR>\n" );
document.write( "m = -6<BR>\n" );
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document.write( "Find b in the 2nd equation, using the given coordinates for x & y again<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "4 = -6(-3) + b<BR>\n" );
document.write( "4 = 18 + b<BR>\n" );
document.write( "4 -18 = b<BR>\n" );
document.write( "b = -14<BR>\n" );
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document.write( "The 2nd equation: y = -6x - 14; (m =- 6 and b = -14)<BR>\n" );
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document.write( "If you graphed these two equations, you would find that they intersect at the given coordinates of -3,4<BR>\n" );
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