document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=740774>Question 740774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many solutions does the following system have: <BR>\n" );
document.write( "6x - 3y = 9 <BR>\n" );
document.write( "2x - y = 3 <BR>\n" );
document.write( "Explain how to determine the number of solutions without solving the system. Then apply elimination, and interpret the resulting equation.<BR>\n" );
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document.write( "Question 4<BR>\n" );
document.write( "How many solutions does the following system have: <BR>\n" );
document.write( "4x + 8y = 16 <BR>\n" );
document.write( "3x + 6y = 9 <BR>\n" );
document.write( "Explain how to determine the number of solutions without solving the system. Then apply elimination, and interpret the resulting expression. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451683 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=451683\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many solutions does the following system have: <BR>\n" );
document.write( "6x - 3y = 9 <BR>\n" );
document.write( "a1x+b1y=c1\r<BR>\n" );
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document.write( "2x - y = 3 <BR>\n" );
document.write( "a2x+b2y=c2\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1%2Fb1=a2%2Fb2 ALIGN=MIDDLE  ALT=\"a1%2Fb1=a2%2Fb2\"   DISABLED_style= \"max-width:90%; height:auto;\" >but not equal to c1/c2 lines are parallel. No solution\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1%2Fb1=a2%2Fb2=+c1%2Fc2 ALIGN=MIDDLE  ALT=\"a1%2Fb1=a2%2Fb2=+c1%2Fc2\"   DISABLED_style= \"max-width:90%; height:auto;\" > then the lines coincide. hence innumerable solutions.\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a1%2Fb1%3Cnot+equal+to%3E+a2%2Fb2 ALIGN=MIDDLE  ALT=\"a1%2Fb1%3Cnot+equal+to%3E+a2%2Fb2\"   DISABLED_style= \"max-width:90%; height:auto;\" > then the lines intersect. one solution<BR>\n" );
document.write( "Explain how to determine the number of solutions without solving the system. Then apply elimination, and interpret the resulting equation.<BR>\n" );
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document.write( "Question 4<BR>\n" );
document.write( "How many solutions does the following system have: <BR>\n" );
document.write( "4x + 8y = 16 <BR>\n" );
document.write( "3x + 6y = 9 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=How+many+solutions+does+the+following+system+have%3A+%0D%0A6x+-+3y+=+9+%0D%0Aa1x%2Bb1y=c1%0D%0A%0D%0A2x+-+y+=+3+%0D%0Aa2x%2Bb2y=c2%0D%0A%0D%0Aif+%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=a1%252Fb1=a2%252Fb2+ALIGN=MIDDLE++ALT=%22a1%252Fb1=a2%252Fb2%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3Ebut+not+equal+to+c1%2Fc2+lines+are+parallel.+No+solution%0D%0A%0D%0A%0D%0Aif+%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=a1%252Fb1=a2%252Fb2=%2Bc1%252Fc2+ALIGN=MIDDLE++ALT=%22a1%252Fb1=a2%252Fb2=%2Bc1%252Fc2%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3E+then+the+lines+coincide.+hence+innumerable+solutions.%0D%0A%0D%0Aif+%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=a1%252Fb1%253Cnot%2Bequal%2Bto%253E%2Ba2%252Fb2+ALIGN=MIDDLE++ALT=%22a1%252Fb1%253Cnot%2Bequal%2Bto%253E%2Ba2%252Fb2%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3E+then+the+lines+intersect.+one+solution%0D%0AExplain+how+to+determine+the+number+of+solutions+without+solving+the+system.+Then+apply+elimination%2C+and+interpret+the+resulting+equation.%0D%0A---------------------------------------------------------------------------------%0D%0AQuestion+4%0D%0AHow+many+solutions+does+the+following+system+have%3A+%0D%0A4x+%2B+8y+=+16+%0D%0A3x+%2B+6y+=+9+%0D%0A%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >4/8 =3/6 <not equal to> 16/9 so lines are parallel no solution\r<BR>\n" );
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document.write( "Explain how to determine the number of solutions without solving the system. Then apply elimination, and interpret the resulting expression. <BR>\n" );
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