document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622842>Question 622842</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help (: <BR>\n" );
document.write( "Graph the two equations to solve the system. What is the solution?<BR>\n" );
document.write( "y = 2x - 4 and 2x + 3y = -12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #391695 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=391695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here you go...<BR>\n" );
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document.write( "We want to solve this system of equations by graphing<BR>\n" );
document.write( "y = 2x - 4<BR>\n" );
document.write( "2x + 3y = -12<BR>\n" );
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document.write( "I would convert the 2nd equation to slope-intercept form so that it is easier to graph. Subtract 2x from both sides of the equation.<BR>\n" );
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document.write( "2x + 3y = -12<BR>\n" );
document.write( "3y = -2x - 12<BR>\n" );
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document.write( "Divide both sides of the equation by 3.<BR>\n" );
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document.write( "y=(-2/3)x-4 \r<BR>\n" );
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document.write( "Now we have two equations in slope-intercept form. The graph is shown below. See additional comments under the graph.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+2x-4%2C+-%282%2F3%29x-4+%29 ALIGN=MIDDLE  ALT=\"graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+2x-4%2C+-%282%2F3%29x-4+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Observing the graph, it appears that the solution (the intersection of the two lines) is the point (0,-4). We need to check this point in both equations to be sure.<BR>\n" );
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document.write( "y = 2x - 4<BR>\n" );
document.write( "(-4) = 2(0) - 4<BR>\n" );
document.write( "-4 = -4 <BR>\n" );
document.write( "Check!!<BR>\n" );
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document.write( "2x + 3y = -12<BR>\n" );
document.write( "2(0) + 3(-4) = -12<BR>\n" );
document.write( "0 + -12 = -12<BR>\n" );
document.write( "-12 = -12<BR>\n" );
document.write( "Check!!<BR>\n" );
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document.write( "The solution to this system is the point (0,-4).<BR>\n" );
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document.write( "Feel free to email if you still have questions about this.<BR>\n" );
document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
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