document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914249>Question 914249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am very desperate here and have no clue were to turn.  I am a single mother of 3 45 yrs old whom went back to college and now feel really stupid.  I am forced to take this course as part of my goals to obtain my degree. Were doing solving systems of linear equations by substitution and i have no clue how to do it i have worked countless hours on this and many other chapters and just can't get it and i have to complete three chapters by the 21st for my midterm grade if not i'm going to just have to crush my dreams by dropping out of college and looking like a failure to my kids.  the question is:  Solve the following system of linear equations by substitution:<BR>\n" );
document.write( "{-2x+y=24<BR>\n" );
document.write( "{5y  =10x+120<BR>\n" );
document.write( "These are all in one bracket not two i have no clue how to make it just one bracket.  Then under it say's please select whether the given system of linear equations is consistent, inconsistent, or dependent.  if the system is consistent, please enter the solution. <BR>\n" );
document.write( "Thank you so much for helping me and others out there.<BR>\n" );
document.write( "Rebecca </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #554955 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=554955\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -2x+y=24<BR>\n" );
document.write( "5y  =10x+120\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The brackets just indicate that they are a set of equations. A linear system with two variables x & y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-2x+y=24\r<BR>\n" );
document.write( "\n" );
document.write( "rearrange<BR>\n" );
document.write( "y=2x+24\r<BR>\n" );
document.write( "\n" );
document.write( "substitute y in the equation below\r<BR>\n" );
document.write( "\n" );
document.write( "5y  =10x+120\r<BR>\n" );
document.write( "\n" );
document.write( "5(2x+24) =10x+120\r<BR>\n" );
document.write( "\n" );
document.write( "10x+120= 10x+120\r<BR>\n" );
document.write( "\n" );
document.write( "10x-10x=120-120<BR>\n" );
document.write( "0=0\r<BR>\n" );
document.write( "\n" );
document.write( "The solution of one equation satisfies the other equation.\r<BR>\n" );
document.write( "\n" );
document.write( "Hence <BR>\n" );
document.write( "The system is consistent and  has innumerable or infinite solutions.<BR>\n" );
document.write( "and dependent\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );