document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270497>Question 270497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please explain this linear equation:\r<BR>\n" );
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document.write( "If x + y = 15 and x -y = -19 then xy = ?\r<BR>\n" );
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document.write( "Thanks,<BR>\n" );
document.write( "Jesse Evans<BR>\n" );
document.write( "jesseevans@hughes.net </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198177 by </B><A HREF=/tutors/aboutme.mpl?userid=persian52><B>persian52(161)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=persian52><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=persian52><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=198177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i think you meant like this?<BR>\n" );
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document.write( "x+y=15_x-y=-19\r<BR>\n" );
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document.write( "Since y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting y from both sides.<BR>\n" );
document.write( "x=-y+15_x-y=-19\r<BR>\n" );
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document.write( "Replace all occurrences of x with the solution found by solving the last equation for x.  In this case, the value substituted is -y+15.<BR>\n" );
document.write( "x=-y+15_(-y+15)-y=-19\r<BR>\n" );
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document.write( "Remove the parentheses around the expression -y+15.<BR>\n" );
document.write( "x=-y+15_-y+15-y=-19\r<BR>\n" );
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document.write( "Since -y and -y are like terms, subtract y from -y to get -2y.<BR>\n" );
document.write( "x=-y+15_-2y+15=-19\r<BR>\n" );
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document.write( "Since 15 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 15 from both sides.<BR>\n" );
document.write( "x=-y+15_-2y=-15-19\r<BR>\n" );
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document.write( "Subtract 19 from -15 to get -34.<BR>\n" );
document.write( "x=-y+15_-2y=-34\r<BR>\n" );
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document.write( "Divide each term in the equation by -2.<BR>\n" );
document.write( "x=-y+15_-(2y)/(-2)=-(34)/(-2)\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common terms.<BR>\n" );
document.write( "x=-y+15_y=-(34)/(-2)\r<BR>\n" );
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document.write( "Simplify the right-hand side of the equation by simplifying each term.<BR>\n" );
document.write( "x=-y+15_y=17\r<BR>\n" );
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document.write( "Replace all occurrences of y with the solution found by solving the last equation for y.  In this case, the value substituted is 17.<BR>\n" );
document.write( "x=-(17)+15_y=17\r<BR>\n" );
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document.write( "Multiply -1 by the 17 inside the parentheses.<BR>\n" );
document.write( "x=-17+15_y=17\r<BR>\n" );
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document.write( "Add 15 to -17 to get -2.<BR>\n" );
document.write( "x=-2_y=17\r<BR>\n" );
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document.write( "This is the solution to the system of equations.<BR>\n" );
document.write( "Answer: x=-2<BR>\n" );
document.write( "Answer: y=17 </SPAN>\n" );
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