document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153220>Question 153220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the solution of the system; type and ordered pair.\r<BR>\n" );
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document.write( "9x-2y=-47<BR>\n" );
document.write( "8x+48=y\r<BR>\n" );
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document.write( "Please talk me through this. I have quite a few examples of how to solve it, it's just that instead of an addition sign theres a subtraction sign and it's confusing my dumb little mind. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112753 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=112753\">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( "Find the solution of the system; type an ordered pair.<BR>\n" );
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document.write( "9x-2y=-47<BR>\n" );
document.write( "8x+48=y <BR>\n" );
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document.write( "Please talk me through this. I have quite a few examples of how to solve it, it's just that instead of an addition sign theres a subtraction sign and it's confusing my dumb little mind.<BR>\n" );
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document.write( "This is the way I usually do these kind of problems, and harder ones(3 variables, and 4 variables)<BR>\n" );
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document.write( "First, solve for a letter in each equation, since we already know what \"y\" is in the second equation, all we have to do is solve for \"y\" in the first equation<BR>\n" );
document.write( "(you use the negative numbers just like positive numbers)<BR>\n" );
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document.write( "Since \"y = 8x+48\" in our second equation, we will solve \"y\" in our first equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x-2y=%28-47%29+ ALIGN=MIDDLE  ALT=\"+9x-2y=%28-47%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move the (-2y) over to the right, and make it positive( by adding 2y to both sides)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x-2y%2B2y=%28-47%29+%2B2y+ ALIGN=MIDDLE  ALT=\"+9x-2y%2B2y=%28-47%29+%2B2y+\"   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=+9x+%2B+0+=%28-47%29+%2B+2y+ ALIGN=MIDDLE  ALT=\"+9x+%2B+0+=%28-47%29+%2B+2y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will switch the 2y, and (-47)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x+=+2y+-+47+ ALIGN=MIDDLE  ALT=\"+9x+=+2y+-+47+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move the (-47) over to the left side(we will add 47 to both sides)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x+%2B+47+=+2y+-+47+%2B+47+ ALIGN=MIDDLE  ALT=\"+9x+%2B+47+=+2y+-+47+%2B+47+\"   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=+9x+%2B+47+=+2y+%2B+0+ ALIGN=MIDDLE  ALT=\"+9x+%2B+47+=+2y+%2B+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=+9x+%2B+47+=+2y+ ALIGN=MIDDLE  ALT=\"+9x+%2B+47+=+2y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To solve for \"y\" we will now divide everything by \"2\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289x+%2B+47%29%2F2+=+2y%2F2+ ALIGN=MIDDLE  ALT=\"+%289x+%2B+47%29%2F2+=+2y%2F2+\"   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=+%289x+%2B+47%29%2F2+=+y%2F1+ ALIGN=MIDDLE  ALT=\"+%289x+%2B+47%29%2F2+=+y%2F1+\"   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=+%289x+%2B+47%29%2F2+=+y+ ALIGN=MIDDLE  ALT=\"+%289x+%2B+47%29%2F2+=+y+\"   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+=+%289x+%2B+47%29%2F2+ ALIGN=MIDDLE  ALT=\"+y+=+%289x+%2B+47%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "now that we found \"y\" in both equations<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%289x+%2B+47%29%2F2+ ALIGN=MIDDLE  ALT=\"+y+=+%289x+%2B+47%29%2F2+\"   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+=+8x%2B48+ ALIGN=MIDDLE  ALT=\"+y+=+8x%2B48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can put both answers in an equation, since \"y\" equals both of the answers, both answers equal each other<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289x+%2B+47%29%2F2+=+%288x%2B48%29+ ALIGN=MIDDLE  ALT=\"+%289x+%2B+47%29%2F2+=+%288x%2B48%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=+%289x+%2B+47%29%2F2+=+%288x%2B48%29%2F1+ ALIGN=MIDDLE  ALT=\"+%289x+%2B+47%29%2F2+=+%288x%2B48%29%2F1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will now cross multiply to get rid of the fractions<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%289x%2B47%29+=+2%288x%2B48%29+ ALIGN=MIDDLE  ALT=\"+1%289x%2B47%29+=+2%288x%2B48%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will use distribution<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x%2B47+=+16x%2B96+ ALIGN=MIDDLE  ALT=\"+9x%2B47+=+16x%2B96+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move (9x) over to the right side(by subtracting 9x from both sides)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x+-+9x+%2B47+=+16x+-+9x+%2B96+ ALIGN=MIDDLE  ALT=\"+9x+-+9x+%2B47+=+16x+-+9x+%2B96+\"   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=+0+%2B47+=+7x%2B96+ ALIGN=MIDDLE  ALT=\"+0+%2B47+=+7x%2B96+\"   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=++47+=+7x%2B96+ ALIGN=MIDDLE  ALT=\"++47+=+7x%2B96+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move \"96\" to the left side(by subtracting 96 from both sides)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++47+-+96+=+7x%2B96+-+96+ ALIGN=MIDDLE  ALT=\"++47+-+96+=+7x%2B96+-+96+\"   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=++%28-49%29+=+7x+%2B+0 ALIGN=MIDDLE  ALT=\"++%28-49%29+=+7x+%2B+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=++%28-49%29+=+7x+ ALIGN=MIDDLE  ALT=\"++%28-49%29+=+7x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will divide each side by \"7\" to solve \"x\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++%28-49%29%2F7+=+7x%2F7 ALIGN=MIDDLE  ALT=\"++%28-49%29%2F7+=+7x%2F7\"   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=++%28-7%29+=+x%2F1+ ALIGN=MIDDLE  ALT=\"++%28-7%29+=+x%2F1+\"   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=++%28-7%29+=+x+ ALIGN=MIDDLE  ALT=\"++%28-7%29+=+x+\"   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+=+%28-7%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We found that \"x\" = (-7), we will replace \"x\" with (-7) in one of our original equations, we will use the second equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8x%2B48=y+ ALIGN=MIDDLE  ALT=\"+8x%2B48=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%28-7%29%2B48=y+ ALIGN=MIDDLE  ALT=\"+8%28-7%29%2B48=y+\"   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=+8%28-7%29%2B48=y+ ALIGN=MIDDLE  ALT=\"+8%28-7%29%2B48=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-56%29+%2B+48=y+ ALIGN=MIDDLE  ALT=\"+%28-56%29+%2B+48=y+\"   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=+%28-8%29=y+ ALIGN=MIDDLE  ALT=\"+%28-8%29=y+\"   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( "We found that \"y\" = (-8), we can replace \"x\", and \"y\", with the numbers in our first equation to check our answers<BR>\n" );
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document.write( "x = (-7)<BR>\n" );
document.write( "y = (-8)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x-2y=-47+ ALIGN=MIDDLE  ALT=\"+9x-2y=-47+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%28-7%29-2%28-8%29=+%28-47%29+ ALIGN=MIDDLE  ALT=\"+9%28-7%29-2%28-8%29=+%28-47%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=+9%28-7%29-2%28-8%29=+%28-47%29+ ALIGN=MIDDLE  ALT=\"+9%28-7%29-2%28-8%29=+%28-47%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-63%29-%28-16%29=+%28-47%29+ ALIGN=MIDDLE  ALT=\"+%28-63%29-%28-16%29=+%28-47%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=+%28-63%29-%28-16%29=+%28-47%29+ ALIGN=MIDDLE  ALT=\"+%28-63%29-%28-16%29=+%28-47%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-63%29%2B+16+=+%28-47%29+ ALIGN=MIDDLE  ALT=\"+%28-63%29%2B+16+=+%28-47%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=+%28-63%29%2B+16+=+%28-47%29+ ALIGN=MIDDLE  ALT=\"+%28-63%29%2B+16+=+%28-47%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-47%29+=+%28-47%29+ ALIGN=MIDDLE  ALT=\"+%28-47%29+=+%28-47%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=+%28-47%29+=+%28-47%29+ ALIGN=MIDDLE  ALT=\"+%28-47%29+=+%28-47%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (True)<BR>\n" );
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document.write( "x = (-7)<BR>\n" );
document.write( "y = (-8)<BR>\n" );
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document.write( "The ordered pair is equal to (x,y), our ordered pair = (-7,-8)<BR>\n" );
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document.write( "So if it is a negative number/variable, like ( x - y = 0), you add the number/variable to both sides, (x - y + y = 0 + y), it becomes <BR>\n" );
document.write( "(x = y)<BR>\n" );
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document.write( "If it is a positive number/variable, like ( x + y = 0), you subtract the number/variable from both sides, (x+y-y = 0-y), it becomes <BR>\n" );
document.write( "(x=(-y))<BR>\n" );
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document.write( "Your answers are<BR>\n" );
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document.write( "x = (-7)<BR>\n" );
document.write( "y = (-8)<BR>\n" );
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document.write( "Ordered Pair = (-7,-8)<BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
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