document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=949211>Question 949211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which point satisfies both equations?<BR>\n" );
document.write( "3x + 4y = 14<BR>\n" );
document.write( "x = 2y - 12<BR>\n" );
document.write( "	<BR>\n" );
document.write( "A)<BR>\n" );
document.write( "(-2,-2)	<BR>\n" );
document.write( "B)<BR>\n" );
document.write( "(-2,5)	<BR>\n" );
document.write( "C)<BR>\n" );
document.write( "(-4,4)	<BR>\n" );
document.write( "D)<BR>\n" );
document.write( "(2,2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #579431 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=579431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are given<BR>\n" );
document.write( "3x + 4y = 14<BR>\n" );
document.write( "x = 2y - 12<BR>\n" );
document.write( "******<BR>\n" );
document.write( "from the second equation we know x = 2y - 12, therefore<BR>\n" );
document.write( "substitute for x in the first equation<BR>\n" );
document.write( "3(2y - 12) +4y = 14<BR>\n" );
document.write( "6y - 36 + 4y = 14<BR>\n" );
document.write( "combine like terms<BR>\n" );
document.write( "10y = 50<BR>\n" );
document.write( "y = 5<BR>\n" );
document.write( "x = 2*5 - 12<BR>\n" );
document.write( "x = -2<BR>\n" );
document.write( "our answer is (-2, 5)<BR>\n" );
document.write( "which is answer B<BR>\n" );
document.write( "******<BR>\n" );
document.write( "check our answer by substituting for x and y in the first equation<BR>\n" );
document.write( "(3*-2) + (4*5) = 14<BR>\n" );
document.write( "-6 + 20 = 14<BR>\n" );
document.write( "14 = 14<BR>\n" );
document.write( "our answer checks\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );