document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208600>Question 208600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Would you please help me solve this graphing problem?\r<BR>\n" );
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document.write( "Solve graphically\r<BR>\n" );
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document.write( "4x+y= -3<BR>\n" );
document.write( "4x+2y=2\r<BR>\n" );
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document.write( "Thank you!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157782 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=157782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x+y= -3<BR>\n" );
document.write( "4x+2y=2<BR>\n" );
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document.write( "y = 5<BR>\n" );
document.write( "x = -2<BR>\n" );
document.write( "are the answer i think we are looking for.<BR>\n" );
document.write( "we'll confirm graphically.<BR>\n" );
document.write( "that point (-2,5) should be the intersection of the two lines formed by these equations.<BR>\n" );
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document.write( "to graph these equations, we need to translate into graphing form.<BR>\n" );
document.write( "that's where the y is on the left side of the equal sign and the rest is on the right.<BR>\n" );
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document.write( "4x + y = -3 becomes y = -3 - 4x which is the xame as y = -4x - 3<BR>\n" );
document.write( "4x + 2y = 2 becomes 2y = -4x - 2 which becomes y = -2x + 1 after dividing both sides of the equation by 2.<BR>\n" );
document.write( "our equations in graphing form are:<BR>\n" );
document.write( "y = -4x - 3<BR>\n" );
document.write( "y = -2x + 1<BR>\n" );
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document.write( "graph of these equations looks like:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C-4x-3%2C-2x%2B1%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C-4x-3%2C-2x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "the graph confirms the answer for the simultaneous equations is x = -2 and y = 5 because that is the intersection of the lines formed by the 2 equations.<BR>\n" );
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