document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1017406>Question 1017406</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve systems of equations by graphing?\r<BR>\n" );
document.write( "\n" );
document.write( "5x-2y=3<BR>\n" );
document.write( "10x-4y=6             Graph<BR>\n" );
document.write( " <BR>\n" );
document.write( "Decide if the system fits one of these choices?\r<BR>\n" );
document.write( "\n" );
document.write( "A. The system has a single solution. The solution set is <BR>\n" );
document.write( "&#8203;(Type an ordered&#8203; pair.)\r<BR>\n" );
document.write( "\n" );
document.write( "B.There are infinitely many solutions and the equations are dependent. The solution set is {(x,y)(  )}<BR>\n" );
document.write( "&#8203;(Type an equation. Type your answer in standard&#8203; form.)\r<BR>\n" );
document.write( "\n" );
document.write( "C.The system is inconsistent. The solution set is the empty set.<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 #633706 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=633706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x-2y=3<BR>\n" );
document.write( "10x-4y=6<BR>\n" );
document.write( "Rewrite<BR>\n" );
document.write( "-2y=-5x+3<BR>\n" );
document.write( "y=(5x/2)-(3/2)<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "-4y=-10x+6<BR>\n" );
document.write( "y=(5x/2)-(3/2)<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "These have an infinite number of solutions.  The answer if B, and standard form is how the equation appears above.<BR>\n" );
document.write( "They are the same equation.  The bottom equation is the top one multiplied by 2.<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%285x%2F2%29-%283%2F2%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%285x%2F2%29-%283%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Because the two are the same, you don't want an ordered pair, which is a common point of intersection.  You want an equation of a line.  The graph shows that line.  It is both equations.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );