document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=847543>Question 847543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My son is doing a worksheet called Solving Special Systems of Linear Equations, the Essential Question is \"Can a system of linear equations have no solution? Can a system of linear equations have many solutions?\" <BR>\n" );
document.write( "The Activity is \"Your cousin is 3 years older than you. Your ages can be represented by two linear equations.\" <BR>\n" );
document.write( "y = t      Your age<BR>\n" );
document.write( "y = t + 3  Your cousin's age<BR>\n" );
document.write( "(there is a graph with 0 to 12 in the y axis and 0 to 12 in the x axis next to the problem and there are 3 questions)<BR>\n" );
document.write( "a. Graph both equations in the same coordinate plane.<BR>\n" );
document.write( "b. what is the vertical distance between the two graphs? What does the distance represent?<BR>\n" );
document.write( "c. Do the two graphs intersect? Explain what this means in terms of your age and your cousins age.<BR>\n" );
document.write( "Can you help us out? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510524 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=510524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Activity is \"Your cousin is 3 years older than you. Your ages can be represented by two linear equations.\" <BR>\n" );
document.write( "y = t Your age<BR>\n" );
document.write( "y = t + 3 Your cousin's age<BR>\n" );
document.write( "(there is a graph with 0 to 12 in the y axis and 0 to 12 in the x axis next to the problem and there are 3 questions)<BR>\n" );
document.write( "a. Graph both equations in the same coordinate plane.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C12%2C-10%2C12%2Cx%2Cx%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C12%2C-10%2C12%2Cx%2Cx%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------------------------<BR>\n" );
document.write( "b. what is the vertical distance between the two graphs? What does the distance represent?<BR>\n" );
document.write( "Ans: 3 ; your cousin is 3 years old than you.<BR>\n" );
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document.write( "c. Do the two graphs intersect?<BR>\n" );
document.write( "No, they are parallel.<BR>\n" );
document.write( "----------------------------- <BR>\n" );
document.write( "Explain what this means in terms of your age and your cousins age.<BR>\n" );
document.write( "Your cousin's age will always be 3 more than your age.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );