document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120683>Question 120683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following systems by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent. \r<BR>\n" );
document.write( "\n" );
document.write( "10x+2y=7<BR>\n" );
document.write( "    y=-5x+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88466 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=88466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Substitute y from the second equation into the first equation:\r<BR>\n" );
document.write( "\n" );
document.write( "10x+2y=7<BR>\n" );
document.write( "y=-5x+3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "10x +2(-5x+3) = 7<BR>\n" );
document.write( "10x -10x + 6=7<BR>\n" );
document.write( "6=7\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This statement is NEVER true, so there is NO SOLUTION.  This means that the lines represented by these equations are parallel.  The system is said to be \"inconsistent\".  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );