document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86683>Question 86683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am so confused with this problem. Can someone show me how this is done?\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).\r<BR>\n" );
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document.write( "5x + 7y = b<BR>\n" );
document.write( "mx+ y = 22<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62686 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=62686\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x + 7y = b--------------eq1<BR>\n" );
document.write( "mx+ y = 22----------------eq2\r<BR>\n" );
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document.write( "Since we want the solution to this system of equations to be (-3,4), we substitute (-3,4) into each equation and solve for the unknowns.\r<BR>\n" );
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document.write( "From eq1<BR>\n" );
document.write( "5*(-3)+7*4=b\r<BR>\n" );
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document.write( "b=-15+28\r<BR>\n" );
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document.write( "b=13\r<BR>\n" );
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document.write( "From eq2\r<BR>\n" );
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document.write( "-3m+4=22\r<BR>\n" );
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document.write( "-3m=22-4\r<BR>\n" );
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document.write( "-3m=18\r<BR>\n" );
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document.write( "m=-6\r<BR>\n" );
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document.write( "So---\r<BR>\n" );
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document.write( "5x+7y=13-------------------Final eq1<BR>\n" );
document.write( "-6x+y=22-------------------------Final eq2\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "Substitute (-3,4) into eq 1\r<BR>\n" );
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document.write( "-15+28=13<BR>\n" );
document.write( "13=13------ok\r<BR>\n" );
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document.write( "Substitute (-3,4) into eq2\r<BR>\n" );
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document.write( "-6(-3)+4=22\r<BR>\n" );
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document.write( "18+4=22\r<BR>\n" );
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document.write( "22=22-------ok\r<BR>\n" );
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document.write( "Hope this helps---ptaylor<BR>\n" );
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