document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224620>Question 224620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph the following pairs of lines on the same axes: y=x-3<BR>\n" );
document.write( "2x+4y=8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167774 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=167774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> graph the following pairs of lines on the same axes: y=x-3<BR>\n" );
document.write( "2x+4y=8\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The following graphs the pairs of lines:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C+-5%2C+5%2C+-5%2C+5%2C+x-3%2C+-1x%2F2%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C+-5%2C+5%2C+-5%2C+5%2C+x-3%2C+-1x%2F2%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear_substitution.solver>SOLVE linear system by SUBSTITUTION</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++-1%5Cx+%2B+1%5Cy+=+-3%2C%0D%0A++++2%5Cx+%2B+4%5Cy+=+8+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++-1%5Cx+%2B+1%5Cy+=+-3%2C%0D%0A++++2%5Cx+%2B+4%5Cy+=+8+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 1*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2Ax+=+-3+-+1%2Ay ALIGN=MIDDLE  ALT=\"-1%2Ax+=+-3+-+1%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3%2F-1+-+1%2Ay%2F-1 ALIGN=MIDDLE  ALT=\"x+=+-3%2F-1+-+1%2Ay%2F-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28-3%2F-1+-+1%2Ay%2F-1%29+%2B+4%5Cy+=+8 ALIGN=MIDDLE  ALT=\"2%2A%28-3%2F-1+-+1%2Ay%2F-1%29+%2B+4%5Cy+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=0.333333333333333. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3%2F-1+-+1%2Ay%2F-1 ALIGN=MIDDLE  ALT=\"x+=+-3%2F-1+-+1%2Ay%2F-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=3.33333333333333.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=3.33333333333333%2C+y=0.333333333333333+%29 ALIGN=MIDDLE  ALT=\"system%28+x=3.33333333333333%2C+y=0.333333333333333+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  </TD></TR>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note the solution to the above system of linear equations is the intersection point<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10%2F3 ALIGN=MIDDLE  ALT=\"x=10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%2F3 ALIGN=MIDDLE  ALT=\"y=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or (10/3, 1/3) between the two lines.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I hope the above steps and explanation were helpful.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "And good luck in your studies!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
document.write( "\n" );
document.write( "http://www.FreedomUniversity.TV </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );