document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036636>Question 1036636</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This question is for linear functions. <BR>\n" );
document.write( "y = 2x + 3<BR>\n" );
document.write( "y= -3x - 2 <BR>\n" );
document.write( "I have to solve using elimination, I already tried but it came out wrong. I know the answer is (-1,1), because my teacher told me. I couldn't figure it out, please help me! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651347 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=651347\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y is equal to two different expressions, namely 2x+3 and -3x-2. Since the same y is equal to these two expressions, this means that the two expressions must be equal to each other\r<BR>\n" );
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document.write( "In other words, based on the given system we have this equation\r<BR>\n" );
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document.write( "2x+3 = -3x-2\r<BR>\n" );
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document.write( "Notice how I set the two right hand sides equal to one another. \r<BR>\n" );
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document.write( "Let's solve for x\r<BR>\n" );
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document.write( "2x+3 = -3x-2<BR>\n" );
document.write( "2x+3+3x = -3x-2+3x<BR>\n" );
document.write( "5x+3 = -2<BR>\n" );
document.write( "5x+3-3 = -2-3<BR>\n" );
document.write( "5x = -5<BR>\n" );
document.write( "5x/5 = -5/5<BR>\n" );
document.write( "x = -1\r<BR>\n" );
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document.write( "Now that we know x = -1, we can use this to find y. Pick any equation with x and y in it. Plug in x = -1. Simplify\r<BR>\n" );
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document.write( "Let's say we pick on the first equation\r<BR>\n" );
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document.write( "y = 2x+3<BR>\n" );
document.write( "y = 2(-1)+3<BR>\n" );
document.write( "y = -2+3<BR>\n" );
document.write( "y = 1\r<BR>\n" );
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document.write( "So if x = -1 then y = 1\r<BR>\n" );
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document.write( "We can pick on the other equation\r<BR>\n" );
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document.write( "y = -3x-2<BR>\n" );
document.write( "y = -3(-1)-2<BR>\n" );
document.write( "y = 3-2<BR>\n" );
document.write( "y = 1\r<BR>\n" );
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document.write( "and we get the same result\r<BR>\n" );
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document.write( "=================================================\r<BR>\n" );
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document.write( "So in the end, the solution to the system of equations is (x,y) = (-1,1)\r<BR>\n" );
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document.write( "Visually, this is where the two graphs cross.  </SPAN>\n" );
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