document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163673>Question 163673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an examination paper consists of 40 questions.<BR>\n" );
document.write( "5 marks are given for each correct answer.<BR>\n" );
document.write( "3 marks are deducted for each incorrect answer.<BR>\n" );
document.write( "Kenny answered all 40 questions, getting x correct and y incorrect.<BR>\n" );
document.write( "His total score for the examination was 56 marks.<BR>\n" );
document.write( "(i)Write two equations to represent the above information.<BR>\n" );
document.write( "(ii)Solve these equations to find out how many questions answered correctly </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120575 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=120575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help,<BR>\n" );
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document.write( "an examination paper consists of 40 questions.<BR>\n" );
document.write( "5 marks are given for each correct answer.<BR>\n" );
document.write( "3 marks are deducted for each incorrect answer.<BR>\n" );
document.write( "Kenny answered all 40 questions, getting x correct and y incorrect.<BR>\n" );
document.write( "His total score for the examination was 56 marks.<BR>\n" );
document.write( "(i)Write two equations to represent the above information.<BR>\n" );
document.write( "(ii)Solve these equations to find out how many questions answered correctly<BR>\n" );
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document.write( "First we have to find the two equations.<BR>\n" );
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document.write( "First equation - Since there are 40 questions, both the wrong answered questions, as well as the right answered questions add up to 40 questions<BR>\n" );
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document.write( "If \"x\" is the number of correct answers, \"y\" is the number of wrong answers we can add these together and they will equal 40, our first equation is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+40+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+40+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is our first equation<BR>\n" );
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document.write( "Second equation - 5 marks are given for each correct answer.<BR>\n" );
document.write( "3 marks are deducted for each incorrect answer. His total score for the examination was 56 marks.<BR>\n" );
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document.write( "If he answered \"x\" number of problems right, he gets 5 marks for each problem that is right. To get the number of marks for right answers, you would multiply the number of marks for one right answer(5) by the number of right answers (\"x\"). So the number of marks for right answers would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%28x%29+ ALIGN=MIDDLE  ALT=\"+5%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+ ALIGN=MIDDLE  ALT=\"+5x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. If he answered \"y\" number of problems wrong, he gets 3 marks taken off for each wrong answer. To find the number of marks for wrong answers, you multiply the number of marks for one wrong answer (3) by the number of wrong answers (\"y\"). The number of marks for wrong answers would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%28y%29+ ALIGN=MIDDLE  ALT=\"+3%28y%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y+ ALIGN=MIDDLE  ALT=\"+3y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, these marks are taken away from the right answer marks (5x), if you take the marks away, his total marks would be 56, to find the equation, take the number of \"wrong\" marks ( 3y) from the \"right\" marks (5x) and that will equal 56, the equation would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+-+3y+=+56+ ALIGN=MIDDLE  ALT=\"+5x+-+3y+=+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+-+3y+=+56+ ALIGN=MIDDLE  ALT=\"+5x+-+3y+=+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the second equation, we found the two equations<BR>\n" );
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document.write( "Equation 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+40+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Equation 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+-+3y+=+56+ ALIGN=MIDDLE  ALT=\"+5x+-+3y+=+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To solve for \"x\" and \"y\", there are several methods you can use. We will use the easiest method for solving any system of equations.<BR>\n" );
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document.write( "First solve for a letter in both equations, doesn't matter which one, usually the easiest. We will solve for \"x\" in both equations<BR>\n" );
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document.write( "Equation 1, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+40+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
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document.write( "To solve for \"x\" we will move \"y\" to the right side.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+40+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+-+y+=+40+-+y+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+-+y+=+40+-+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+40+-+y+ ALIGN=MIDDLE  ALT=\"+x+=+40+-+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, rearranging <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-y%29+%2B+40+ ALIGN=MIDDLE  ALT=\"+x+=+%28-y%29+%2B+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-y%29+%2B+40+ ALIGN=MIDDLE  ALT=\"+%28-y%29+%2B+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is our first answer<BR>\n" );
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document.write( "Second equation, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+-+3y+=+56+ ALIGN=MIDDLE  ALT=\"+5x+-+3y+=+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To start solving we will move (-3y) to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+-+3y+=+56+ ALIGN=MIDDLE  ALT=\"+5x+-+3y+=+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+-+3y+%2B+3y+=+56+%2B+3y+ ALIGN=MIDDLE  ALT=\"+5x+-+3y+%2B+3y+=+56+%2B+3y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+=+56+%2B+3y+ ALIGN=MIDDLE  ALT=\"+5x+=+56+%2B+3y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, rearranging <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+=+3y+%2B+56+ ALIGN=MIDDLE  ALT=\"+5x+=+3y+%2B+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To find \"x\" we will divide each side by \"5\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+=+3y+%2B+56+ ALIGN=MIDDLE  ALT=\"+5x+=+3y+%2B+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x%2F5+=+%283y+%2B+56%29%2F5+ ALIGN=MIDDLE  ALT=\"+5x%2F5+=+%283y+%2B+56%29%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%283y+%2B+56%29%2F5+ ALIGN=MIDDLE  ALT=\"+x+=+%283y+%2B+56%29%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283y+%2B+56%29%2F5+ ALIGN=MIDDLE  ALT=\"+%283y+%2B+56%29%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is our second answer, the two answers will equal each other, since both of them equal \"x\"<BR>\n" );
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document.write( "We can put them both in an equation, and then solve for \"y\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-y%29+%2B+40+=+%283y+%2B+56%29%2F5+ ALIGN=MIDDLE  ALT=\"+%28-y%29+%2B+40+=+%283y+%2B+56%29%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28-y%29+%2B+40%29%2F1+=+%283y+%2B+56%29%2F5+ ALIGN=MIDDLE  ALT=\"+%28%28-y%29+%2B+40%29%2F1+=+%283y+%2B+56%29%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now all you do is solve for \"y\".<BR>\n" );
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document.write( "We can cross multiply<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28-y%29+%2B+40%29%2F1+=+%283y+%2B+56%29%2F5+ ALIGN=MIDDLE  ALT=\"+%28%28-y%29+%2B+40%29%2F1+=+%283y+%2B+56%29%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28%28-y%29+%2B+40%29%2F1+=+%283y+%2B+56%29%2Fhighlight%285%29+ ALIGN=MIDDLE  ALT=\"+highlight%28%28-y%29+%2B+40%29%2F1+=+%283y+%2B+56%29%2Fhighlight%285%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28-y%29+%2B+40%29%2Fhighlight%281%29+=+highlight%283y+%2B+56%29%2F5+ ALIGN=MIDDLE  ALT=\"+%28%28-y%29+%2B+40%29%2Fhighlight%281%29+=+highlight%283y+%2B+56%29%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28-y%29+%2B+40%29%285%29+=+%281%29%283y%2B56%29+ ALIGN=MIDDLE  ALT=\"+%28%28-y%29+%2B+40%29%285%29+=+%281%29%283y%2B56%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, If we rearrange the first part it becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285%29%28%28-y%29+%2B+40%29+=+%281%29%283y%2B56%29 ALIGN=MIDDLE  ALT=\"+%285%29%28%28-y%29+%2B+40%29+=+%281%29%283y%2B56%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can use the distributive property to solve for \"y\" even more.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285%29%28%28-y%29+%2B+40%29+=+%281%29%283y%2B56%29 ALIGN=MIDDLE  ALT=\"+%285%29%28%28-y%29+%2B+40%29+=+%281%29%283y%2B56%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%285%29%28highlight%28-y%29+%2B+40%29+=+highlight%281%29%28highlight%283y%29%2B56%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%285%29%28%28-y%29+%2B+highlight%2840%29%29+=+highlight%281%29%283y%2Bhighlight%2856%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-5y%29+%2B+200+=+3y+%2B+56+ ALIGN=MIDDLE  ALT=\"+%28-5y%29+%2B+200+=+3y+%2B+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move (-5y) to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-5y%29+%2B+200+=+3y+%2B+56+ ALIGN=MIDDLE  ALT=\"+%28-5y%29+%2B+200+=+3y+%2B+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-5y%29%2B5y+%2B+200+=+3y+%2B+5y+%2B+56+ ALIGN=MIDDLE  ALT=\"+%28-5y%29%2B5y+%2B+200+=+3y+%2B+5y+%2B+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+=+8y+%2B+56+ ALIGN=MIDDLE  ALT=\"+200+=+8y+%2B+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to solve it even more we will move the \"56\" to the left side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+=+8y+%2B+56+ ALIGN=MIDDLE  ALT=\"+200+=+8y+%2B+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+-56+=+8y+%2B+56+-56+ ALIGN=MIDDLE  ALT=\"+200+-56+=+8y+%2B+56+-56+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+144+=+8y+ ALIGN=MIDDLE  ALT=\"+144+=+8y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, rearranging we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8y+=+144+ ALIGN=MIDDLE  ALT=\"+8y+=+144+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To solve for \"y\" we need to divide each side by \"8\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8y+=+144+ ALIGN=MIDDLE  ALT=\"+8y+=+144+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8y%2F8+=+144%2F8+ ALIGN=MIDDLE  ALT=\"+8y%2F8+=+144%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+18+ ALIGN=MIDDLE  ALT=\"+y+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We found \"y\", <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+18+ ALIGN=MIDDLE  ALT=\"+y+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can check by replacing \"y\" in the equation, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-y%29+%2B+40+=+%283y+%2B+56%29%2F5+ ALIGN=MIDDLE  ALT=\"+%28-y%29+%2B+40+=+%283y+%2B+56%29%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Replacing \"y\" with \"18\", <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-y%29+%2B+40+=+%283y+%2B+56%29%2F5+ ALIGN=MIDDLE  ALT=\"+%28-y%29+%2B+40+=+%283y+%2B+56%29%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-%2818%29%29+%2B+40+=+%283%2818%29+%2B+56%29%2F5+ ALIGN=MIDDLE  ALT=\"+%28-%2818%29%29+%2B+40+=+%283%2818%29+%2B+56%29%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-18%29+%2B+40+=+%2854+%2B+56%29%2F5+ ALIGN=MIDDLE  ALT=\"+%28-18%29+%2B+40+=+%2854+%2B+56%29%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22+=+110%2F5+ ALIGN=MIDDLE  ALT=\"+22+=+110%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22+=+22+ ALIGN=MIDDLE  ALT=\"+22+=+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (True)<BR>\n" );
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document.write( "To find \"x\" we will replace \"y\" with \"18\" in one of the original equations<BR>\n" );
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document.write( "Equation 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+40+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Equation 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+-+3y+=+56+ ALIGN=MIDDLE  ALT=\"+5x+-+3y+=+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will use the first equation<BR>\n" );
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document.write( "Replacing \"y\" with \"18\", <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+40+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+%2818%29+=+40+ ALIGN=MIDDLE  ALT=\"+x+%2B+%2818%29+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+18+=+40+ ALIGN=MIDDLE  ALT=\"+x+%2B+18+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To find \"x\" we will move \"18\" to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+18+=+40+ ALIGN=MIDDLE  ALT=\"+x+%2B+18+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+18+-+18+=+40+-+18+ ALIGN=MIDDLE  ALT=\"+x+%2B+18+-+18+=+40+-+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+22+ ALIGN=MIDDLE  ALT=\"+x+=+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We found \"x\", <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+22+ ALIGN=MIDDLE  ALT=\"+x+=+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Our two answers are<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+22+ ALIGN=MIDDLE  ALT=\"+x+=+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+18+ ALIGN=MIDDLE  ALT=\"+y+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can check our answers by replacing \"x\" with \"22\", \"y\" with \"18\" in both of our original equations<BR>\n" );
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document.write( "Replacing \"x\" with \"22\", \"y\" with \"18\"<BR>\n" );
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document.write( "Equation 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+40+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2822%29+%2B+%2818%29+=+40+ ALIGN=MIDDLE  ALT=\"+%2822%29+%2B+%2818%29+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+=+40+ ALIGN=MIDDLE  ALT=\"+40+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (True)<BR>\n" );
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document.write( "Equation 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+-+3y+=+56+ ALIGN=MIDDLE  ALT=\"+5x+-+3y+=+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2822%29+-+3%2818%29+=+56+ ALIGN=MIDDLE  ALT=\"+5%2822%29+-+3%2818%29+=+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+110+-+54+=+56+ ALIGN=MIDDLE  ALT=\"+110+-+54+=+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+56+=+56+ ALIGN=MIDDLE  ALT=\"+56+=+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (True)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+22+ ALIGN=MIDDLE  ALT=\"+x+=+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, ( Since \"x\" was the number of problems he got right, he got 22 problems right )<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+18+ ALIGN=MIDDLE  ALT=\"+y+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, ( Since \"y\" was the number of problems he got wrong, he got 18 problems wrong )<BR>\n" );
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document.write( "He got 22 problems right<BR>\n" );
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document.write( "He got 18 problems wrong<BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );