document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166995>Question 1166995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A is a constant such that the graph of the equation Ax-3y=6 passes through the point (1,-3). Find A </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #791552 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=791552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the equation is Ax - 3y = 6<BR>\n" );
document.write( "it passed through the point (1,-3).<BR>\n" );
document.write( "replace x with 1 and y with -3 to get:<BR>\n" );
document.write( "A * 1 - 3 * (-3) = 6<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "A + 9 = 6<BR>\n" );
document.write( "subtract 9 from both sides of the equation to get:<BR>\n" );
document.write( "A = 6 - 9<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "A = -3.\r<BR>\n" );
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document.write( "when A = -3, the equation of Ax - 3y = 6 becomes -3x - 3y = 6<BR>\n" );
document.write( "when x = 1 and y = -3, the equation becomes:<BR>\n" );
document.write( "-3 * 1 - 3 * (-3) = 6<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "-3 + 9 = 6<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "6 = 6<BR>\n" );
document.write( "this confirms the value of A is good.\r<BR>\n" );
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document.write( "using the desmos.com calculator, this equation can be graphed as is:<BR>\n" );
document.write( "here's what the graph looks like.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/101006.jpg\" >\r<BR>\n" );
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document.write( "as you can see, it's a straight line that passes through the point (1,-3).\r<BR>\n" );
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document.write( "your solution is that A = -3.<BR>\n" );
document.write( " </SPAN>\n" );
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