document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182057>Question 182057</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078651131/algebrahomeworkh>glencoe mathematics algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> use substitution to solve each system of equations. If the system does not have exactly one solution, state wether it has no solution or infenetily many solutions.<BR>\n" );
document.write( "8x+2y=13<BR>\n" );
document.write( "4x+y=11 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136650 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=136650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve, by substitution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%2B2y+=+13 ALIGN=MIDDLE  ALT=\"8x%2B2y+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2By+=+11 ALIGN=MIDDLE  ALT=\"4x%2By+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve this for y: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-4x%2B11 ALIGN=MIDDLE  ALT=\"y+=+-4x%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute into the first equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%2B2%28-4x%2B11%29+=+13 ALIGN=MIDDLE  ALT=\"8x%2B2%28-4x%2B11%29+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x-8x%2B11+=+13 ALIGN=MIDDLE  ALT=\"8x-8x%2B11+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11+=+13 ALIGN=MIDDLE  ALT=\"11+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" > No solution!<BR>\n" );
document.write( "You can see why when you graph these 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-5%2C5%2C-4x%2B11%2C-4x%2B13%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C-4x%2B11%2C-4x%2B13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The lines are parallel, thus there is no intersection and no solution to this system of equations. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );