document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177407>Question 177407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Give an ordered pair (x,y)of  numbers that satisfy the equation \r<BR>\n" );
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document.write( "4x-y=4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132446 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=132446\">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( "Give an ordered pair (x,y)of  numbers that satisfy the equation \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x-y=4+ ALIGN=MIDDLE  ALT=\"+4x-y=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This is a pretty easy problem<BR>\n" );
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document.write( "For this problem, you just pick a number for \"x\", \"x\" can be any number<BR>\n" );
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document.write( "We will use \"1\", now replace \"x\" with \"1\" in the equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x-y=4+ ALIGN=MIDDLE  ALT=\"+4x-y=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%281%29-y=4+ ALIGN=MIDDLE  ALT=\"+4%281%29-y=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4-y=4+ ALIGN=MIDDLE  ALT=\"+4-y=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now you just solve for \"y\"<BR>\n" );
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document.write( "We will move \"4\" to the right<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4-y=4+ ALIGN=MIDDLE  ALT=\"+4-y=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+-+4+-y=4+-+4+ ALIGN=MIDDLE  ALT=\"+4+-+4+-y=4+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+y+=+0+ ALIGN=MIDDLE  ALT=\"+-+y+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to get \"y\" to be positive, we will multiply each side by (-1)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+y+=+0+ ALIGN=MIDDLE  ALT=\"+-+y+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-1%29%28-+y%29+=+%28-1%29%280%29+ ALIGN=MIDDLE  ALT=\"+%28-1%29%28-+y%29+=+%28-1%29%280%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+0+ ALIGN=MIDDLE  ALT=\"+y+=+0+\"   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+=+1+ ALIGN=MIDDLE  ALT=\"+x+=+1+\"   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=+y+=+0+ ALIGN=MIDDLE  ALT=\"+y+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can check by replacing the letters with numbers in the equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x-y=4+ ALIGN=MIDDLE  ALT=\"+4x-y=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%281%29-%280%29=4+ ALIGN=MIDDLE  ALT=\"+4%281%29-%280%29=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+-+0+=+4+ ALIGN=MIDDLE  ALT=\"+4+-+0+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+=+4+ ALIGN=MIDDLE  ALT=\"+4+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (True)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+1+ ALIGN=MIDDLE  ALT=\"+x+=+1+\"   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=+y+=+0+ ALIGN=MIDDLE  ALT=\"+y+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Ordered pairs are given as ( x,y ), our ordered pair ( or point ) is ( 1,0 )<BR>\n" );
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document.write( "This equation is a line, to find a line we need two points, we already have one point, let us find one more point<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x-y=4+ ALIGN=MIDDLE  ALT=\"+4x-y=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Name a number for \"x\", we will use (-1)<BR>\n" );
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document.write( "Replace the letter with the number, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x-y=4+ ALIGN=MIDDLE  ALT=\"+4x-y=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%28-1%29-y=4+ ALIGN=MIDDLE  ALT=\"+4%28-1%29-y=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-4%29-y=4+ ALIGN=MIDDLE  ALT=\"+%28-4%29-y=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve for \"y\", <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-4%29-y=4+ ALIGN=MIDDLE  ALT=\"+%28-4%29-y=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will move (-4) to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-4%29-y=4+ ALIGN=MIDDLE  ALT=\"+%28-4%29-y=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-4%29+%2B+4+-y=4+%2B+4+ ALIGN=MIDDLE  ALT=\"+%28-4%29+%2B+4+-y=4+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-y=+8+ ALIGN=MIDDLE  ALT=\"+-y=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will now multiply each side by (-1)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-y=+8+ ALIGN=MIDDLE  ALT=\"+-y=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-1%29%28-y%29=%28-1%29%28+8%29+ ALIGN=MIDDLE  ALT=\"+%28-1%29%28-y%29=%28-1%29%28+8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=+%28-8%29+ ALIGN=MIDDLE  ALT=\"+y=+%28-8%29+\"   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+=+%28-1%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-1%29+\"   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=+y+=+%28-8%29+ ALIGN=MIDDLE  ALT=\"+y+=+%28-8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Replace the letters with numbers in the original equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x-y=4+ ALIGN=MIDDLE  ALT=\"+4x-y=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%28-1%29-%28-8%29=4+ ALIGN=MIDDLE  ALT=\"+4%28-1%29-%28-8%29=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-4%29+%2B+8+=4+ ALIGN=MIDDLE  ALT=\"+%28-4%29+%2B+8+=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+=+4+ ALIGN=MIDDLE  ALT=\"+4+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (True)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-1%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-1%29+\"   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=+y+=+%28-8%29+ ALIGN=MIDDLE  ALT=\"+y+=+%28-8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Ordered pairs are given as ( x,y ), our ordered pair, or point is (-1,-8)<BR>\n" );
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document.write( "To draw the equation on a graph, you draw a line through the two points (1,0) and (-1,-8)<BR>\n" );
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document.write( "Here is the graph<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing+%28+500%2C500%2C-10%2C10%2C-10%2C10%2Cgrid%281%29%2C+blue+%28+circle+%281%2C0%2C0.1%29%29%2C+circle+%281%2C0%2C0.2%29%2C+blue+%28+circle+%28-1%2C-8%2C0.1%29%29%2C+circle+%28-1%2C-8%2C0.2%29%2C+graph+%28+500%2C500%2C-10%2C10%2C-10%2C10%2C+4x-4%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Two points that satisfy the equation are (1,0) and (-1,-8)<BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
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