document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=338206>Question 338206</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please assist me in helping to solve the following problem:\r<BR>\n" );
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document.write( "3x + 2y = 3<BR>\n" );
document.write( "4x -3y = -13\r<BR>\n" );
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document.write( "Your analysis and comments are appreciated.  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 #242415 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=242415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the following problem: <BR>\n" );
document.write( "3x + 2y = 3<BR>\n" );
document.write( "4x -3y = -13 <BR>\n" );
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document.write( "If you want to solve by elimination you need to<BR>\n" );
document.write( "have the same number of some variable in the <BR>\n" );
document.write( "numerator and in the denominator.<BR>\n" );
document.write( "You can pick either of the two variables but <BR>\n" );
document.write( "you must create the same number in both equations.<BR>\n" );
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document.write( "Lets say you pick \"x\".<BR>\n" );
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document.write( "Multiply thru the 1st equation by 4<BR>\n" );
document.write( "Multiply thru the 2nd equation by 3<BR>\n" );
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document.write( "12x + 8y = 4*3<BR>\n" );
document.write( "12x - 9y = 3*-13<BR>\n" );
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document.write( "Subtract the 2nd equation from the 1st to get:<BR>\n" );
document.write( "17y = 12--39<BR>\n" );
document.write( "17y = 51<BR>\n" );
document.write( "Divide both sides by 16 to get:<BR>\n" );
document.write( "y = 3<BR>\n" );
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document.write( "Substitute that into either of the original equations <BR>\n" );
document.write( "and solve for \"x\":<BR>\n" );
document.write( "3x + 2y = 3<BR>\n" );
document.write( "3x + 2*3 = 3<BR>\n" );
document.write( "3x + 6 = 3<BR>\n" );
document.write( "3x = -3<BR>\n" );
document.write( "x = -1<BR>\n" );
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document.write( "Check the solution in the \"other\" original equation:<BR>\n" );
document.write( "4x -3y = -13 <BR>\n" );
document.write( "4(-1)-3(3) = -13<BR>\n" );
document.write( "-4-9 = -13<BR>\n" );
document.write( "-13 = -13<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Solution: <BR>\n" );
document.write( "x = -1 ; y = 3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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