document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=954277>Question 954277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are going to dinner and a hockey game, and you have two different plans as options. The family Pack provides 2 pizzas and 4 hockey tickets for $210. The Party Rock provides 4 pizzas and 10 hockey tickets for $516. How much does one pizza cost and how much does one hockey ticket cost?\r<BR>\n" );
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document.write( "Variables<BR>\n" );
document.write( "X=<BR>\n" );
document.write( "Y=<BR>\n" );
document.write( "System=<BR>\n" );
document.write( "Solution= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #583150 by </B><A HREF=/tutors/aboutme.mpl?userid=aYummyNoodle><B>aYummyNoodle(10)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aYummyNoodle><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=583150\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the cost of a pizza<BR>\n" );
document.write( "let y = the cost of a hockey ticket<BR>\n" );
document.write( "We can now substitute the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > in for the pizza and hockey tickets:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B4y=210 ALIGN=MIDDLE  ALT=\"2x%2B4y=210\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B10y=516 ALIGN=MIDDLE  ALT=\"4x%2B10y=516\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Of course, there are 3 different ways to solve systems of linear equations. They are graphing substitution, and elimination. For this system, I will use elimination.<BR>\n" );
document.write( "We first multiply the first equation by 2 get both <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >'s with the same coefficient:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B8y=420 ALIGN=MIDDLE  ALT=\"4x%2B8y=420\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B10y=516 ALIGN=MIDDLE  ALT=\"4x%2B10y=516\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that we both equations, we can subtract them from each other to eliminate the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Subtracting the second equation from the first equation gives us <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=94 ALIGN=MIDDLE  ALT=\"2y=94\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by 2 and then we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=47%7D%7D%0D%0ASo+a+hockey+ticket+costs+%2447%0D%0ANow+we+can+just+plug+the+%7B%7B%7By ALIGN=MIDDLE  ALT=\"y=47%7D%7D%0D%0ASo+a+hockey+ticket+costs+%2447%0D%0ANow+we+can+just+plug+the+%7B%7B%7By\"   DISABLED_style= \"max-width:90%; height:auto;\" > back into the original first equation to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B4%2847%29=210 ALIGN=MIDDLE  ALT=\"2x%2B4%2847%29=210\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B188=210 ALIGN=MIDDLE  ALT=\"2x%2B188=210\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=22 ALIGN=MIDDLE  ALT=\"2x=22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=11 ALIGN=MIDDLE  ALT=\"x=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So a pizza costs $11.<BR>\n" );
document.write( "A pizza costs $11 and a hockey ticket costs $47. </SPAN>\n" );
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