document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698107>Question 698107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that x and y are real numbers satisfying the equations 3x&#8722;2y=21 and 7x+3y=95, what is the value of x+y? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430835 by </B><A HREF=/tutors/aboutme.mpl?userid=sofiyac><B>sofiyac(983)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sofiyac><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=sofiyac><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> STEP 1: \r<BR>\n" );
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document.write( "Multiply each equation by a number that will create<BR>\n" );
document.write( " opposite coefficients for x. <BR>\n" );
document.write( "In this case we will multiply first equation<BR>\n" );
document.write( " by -7 and the second equation by 3; <BR>\n" );
document.write( "After multiplying we have the following system: \r<BR>\n" );
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document.write( "-21x+14y=-147<BR>\n" );
document.write( "21x+9y-285\r<BR>\n" );
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document.write( "STEP 2: add the two equations together to eliminate x from the system.<BR>\n" );
document.write( "23y=138\r<BR>\n" );
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document.write( "STEP 3: find y \r<BR>\n" );
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document.write( "y=6\r<BR>\n" );
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document.write( "STEP 4: substitute the value for y into the original equation to solve for x.\r<BR>\n" );
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document.write( "3x-2(6)=21<BR>\n" );
document.write( "3x=33<BR>\n" );
document.write( "x=11\r<BR>\n" );
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document.write( "add x+y and you get 11+6=17\r<BR>\n" );
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document.write( "Sorry about that, must have made a mistake somewhere!!!! :) </SPAN>\n" );
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