document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=987529>Question 987529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The system of equations below has multiple solutions, all of which satisfy the equation y=4/3x-2. What is the value of a?\r<BR>\n" );
document.write( "\n" );
document.write( "8x-6y=12<BR>\n" );
document.write( "12x-ay=18\r<BR>\n" );
document.write( "\n" );
document.write( "a. -6<BR>\n" );
document.write( "b. 9<BR>\n" );
document.write( "c. 14<BR>\n" );
document.write( "d. 18 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #608276 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=608276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since they have multiple solutions, they should all look the same when put into slope-intercept form.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = (4/3)x - 2  {first equation is already in slope-intercept form}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8x - 6y = 12 {second equation}<BR>\n" );
document.write( "-6y = -8x + 12 {subtracted 8x from each side}<BR>\n" );
document.write( "y = (4/3)x - 2 {divided each side by -6, getting into slope-intercept form}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Notice the second equation is now the same as the first, when put into slope-intercept form.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "12x - ay = 18 {third equation}<BR>\n" );
document.write( "-ay = -12x + 18 {subtracted 12x from each side}<BR>\n" );
document.write( "y = (12/a)x + (-18/a) {divided each side by -a}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The question, now, is what number would make the 12/a into 4/3 and the -18/a into -2?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "9 would\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b.) 9<BR>\n" );
document.write( "<br>For more help from me, visit: <a  rel=nofollow HREF= \"http://www.algebrahouse.com/ask-a-question.html\" target = \"_blank\">www.algebrahouse.com</a><br><br><br> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );