document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=530655>Question 530655</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is 2x-y = 11 and 2x +3y = 7. How do I solve the system of equations by graphing?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350182 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=350182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Get each equation in slope-intercept form, define two points for each, draw the graphs.  The point where the cross is the solution of the system of equation.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2x -y = 11<BR>\n" );
document.write( "-y = -2x + 11<BR>\n" );
document.write( "y = 2x -11<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2x + 3y = 7<BR>\n" );
document.write( "3y = -2x +7<BR>\n" );
document.write( "y = -(2/3)x + 7/3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28500%2C500%2C-3%2C7%2C-5%2C5%2C2%2Ax-11%2C-2%2F3%2Ax%2B7%2F3%29+ ALIGN=MIDDLE  ALT=\"+graph%28500%2C500%2C-3%2C7%2C-5%2C5%2C2%2Ax-11%2C-2%2F3%2Ax%2B7%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "So, the point (5,-1) is the common solution.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2(5)-11 = -1, correct<BR>\n" );
document.write( "-2/3*5 + 7/3 = -1, correct<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );