document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170288>Question 170288</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> We have to solve using the eliminaiton or substitution method.  I am really struggling with this class so I'm not sure where to start.\r<BR>\n" );
document.write( "\n" );
document.write( "2(x-y)=3+x  which is 2x - 2y =3+x<BR>\n" );
document.write( "x = 3y + 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125711 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=125711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system:<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-y%29+=+3%2Bx ALIGN=MIDDLE  ALT=\"2%28x-y%29+=+3%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3y%2B4 ALIGN=MIDDLE  ALT=\"x+=+3y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The idea behind the \"elimination\" or \"substitution\" method is to reduce the problem from two equations with two unknowns (variables) to one equation with one unknown.  This is accomplished by \"eliminating\" one of the unknowns.<BR>\n" );
document.write( "In this problem, you can conveniently substitute the x in the first equation with the x in the second equation, thus eliminating the x-variable.<BR>\n" );
document.write( "It would be simpler to first simplify the first equation as you have started to do.<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-y%29+=+3%2Bx ALIGN=MIDDLE  ALT=\"2%28x-y%29+=+3%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-2y+=+3%2Bx ALIGN=MIDDLE  ALT=\"2x-2y+=+3%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract x from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y+=+3 ALIGN=MIDDLE  ALT=\"x-2y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now substitute the x from equation 2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2B4%29-2y+=+3 ALIGN=MIDDLE  ALT=\"%283y%2B4%29-2y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplfy and solve for y. Combine like-terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B4+=+3 ALIGN=MIDDLE  ALT=\"y%2B4+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-1 ALIGN=MIDDLE  ALT=\"y+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now substitute this value of y into equation 2) and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3y%2B4 ALIGN=MIDDLE  ALT=\"x+=+3y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute y = -1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%28-1%29%2B4 ALIGN=MIDDLE  ALT=\"x+=+3%28-1%29%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1 ALIGN=MIDDLE  ALT=\"x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > So the solution is: (1, -1) and the solution shows the point of intersection of the two lines represented by the two linear equations.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C5%2C-3%2C3%2C%281%2F2%29x-3%2F2%2C%281%2F3%29x-4%2F3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C5%2C-3%2C3%2C%281%2F2%29x-3%2F2%2C%281%2F3%29x-4%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );