document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=50182>Question 50182</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073016020/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I tried to use the solver on this website<BR>\n" );
document.write( "(SOLVE linear system by SUBSTITUTION)\r<BR>\n" );
document.write( "\n" );
document.write( "and I could not work this kind of problem. Do not know what I am doing wrong.\r<BR>\n" );
document.write( "\n" );
document.write( "8x-4y=16<BR>\n" );
document.write( "y=2x-4\r<BR>\n" );
document.write( "\n" );
document.write( "can someone please help??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33368 by </B><A HREF=/tutors/aboutme.mpl?userid=junior403><B>junior403(76)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=junior403><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=33368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This isn't too bad.<BR>\n" );
document.write( "We can solve this system of equations using the elimination method.<BR>\n" );
document.write( "But first we need to put each equation in standard form so that they look the same. You have...<BR>\n" );
document.write( "8x - 4y = 16<BR>\n" );
document.write( "y  = 2x - 4<BR>\n" );
document.write( "The top equation is already in standard form so we just need to get the 2x on the left side of the equation by subtracting it from both sides.<BR>\n" );
document.write( "8x  - 4y = 16<BR>\n" );
document.write( "-2x + y = -4<BR>\n" );
document.write( "Now we are ready to begin eliminating variables.\r<BR>\n" );
document.write( "\n" );
document.write( "First we need to decide which coefficiant to work with in order to cancel out or \"eliminate\" the other.<BR>\n" );
document.write( "For instance, we have 8x and -2x.<BR>\n" );
document.write( "What do we need to do to the -2x in order to cancel out the 8x?<BR>\n" );
document.write( "What if we multiply the second (bottom) equation by 4? <BR>\n" );
document.write( "8x - 4y = 16<BR>\n" );
document.write( "4(-2x + y = -4)<BR>\n" );
document.write( "When we distribute, we get...<BR>\n" );
document.write( "8x  - 4y = 16<BR>\n" );
document.write( "-8x + 4y = -16<BR>\n" );
document.write( "Now we can add our system and eliminate the x (for now) and solve the equation for y. Like so...<BR>\n" );
document.write( "8x  - 4y = 16<BR>\n" );
document.write( "-8x + 4y = -16<BR>\n" );
document.write( "_______________<BR>\n" );
document.write( "0  =  0\r<BR>\n" );
document.write( "\n" );
document.write( "This is as far as you can go.<BR>\n" );
document.write( "Since the outcome is 0 = 0, we can write the answer as...<BR>\n" );
document.write( "{(x,y)\ y = 2x - 4}<BR>\n" );
document.write( "This can be read as: <BR>\n" );
document.write( "The variables x and y such that y = 2x -4.<BR>\n" );
document.write( "I hope this helps.<BR>\n" );
document.write( "Good Luck!\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );