document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68286>Question 68286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by graphing.\r<BR>\n" );
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document.write( "x+2y=4<BR>\n" );
document.write( "x+2y=-2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48590 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=48590\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system by graphing.\r<BR>\n" );
document.write( "\n" );
document.write( "x+2y=4<BR>\n" );
document.write( "x+2y=-2<BR>\n" );
document.write( "Because these lines have the same coefficients for x and y and different constants we know they are parallel and therefore never intersect.<BR>\n" );
document.write( "However, let's graph them anyways.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "For x+2y=4<BR>\n" );
document.write( "let x=0 and solve for y:<BR>\n" );
document.write( "0+2y=4<BR>\n" );
document.write( "2y=4<BR>\n" );
document.write( "2y/2=4/2<BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "Plot (0,2)<BR>\n" );
document.write( "Now let y=0 and solve for x:<BR>\n" );
document.write( "x+2(0)=4<BR>\n" );
document.write( "x+0=4<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "Plot (4,0)<BR>\n" );
document.write( "Connect the two points and you have this line:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-x%2B4%29%2F2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-x%2B4%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For x+2y=-2<BR>\n" );
document.write( "Let x=0 and solve for y:<BR>\n" );
document.write( "0+2y=-2<BR>\n" );
document.write( "2y=-2<BR>\n" );
document.write( "2y/2=-2/2<BR>\n" );
document.write( "y=-1<BR>\n" );
document.write( "Plot (0,-1)<BR>\n" );
document.write( "Now let y=0 and solve for x:<BR>\n" );
document.write( "x+2(0)=-2<BR>\n" );
document.write( "x+0=-2<BR>\n" );
document.write( "x=-2<BR>\n" );
document.write( "Plot (-2,0)<BR>\n" );
document.write( "Connect the two points and you have a second line:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-x%2B4%29%2F2%2C%28-x-2%29%2F2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-x%2B4%29%2F2%2C%28-x-2%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The line are parallel and will never intersect to give you a solution, therefore, there is no solution.<BR>\n" );
document.write( "Happy Calculating!!!  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );