document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159754>Question 159754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use substitution to solve the system.\r<BR>\n" );
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document.write( "x - 7y = -10<BR>\n" );
document.write( "3x + 2y = 10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117806 by </B><A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><B>KnightOwlTutor(293)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><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=KnightOwlTutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=117806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x - 7y = -10<BR>\n" );
document.write( "Add 7y to both sides\r<BR>\n" );
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document.write( "x=-10+7Y\r<BR>\n" );
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document.write( "replace x in the second equation with -10+7Y\r<BR>\n" );
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document.write( "3(-10+7Y)+2Y=10\r<BR>\n" );
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document.write( "Use the distributive property<BR>\n" );
document.write( "-30+21Y+2Y=10\r<BR>\n" );
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document.write( "-30+23Y=10<BR>\n" );
document.write( "add 30 to both sides of the equation\r<BR>\n" );
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document.write( "23Y=40<BR>\n" );
document.write( "divide both sides by 23\r<BR>\n" );
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document.write( "Y=40/23<BR>\n" );
document.write( "Replace y with 40/23 in the following equation in order to get a value for X<BR>\n" );
document.write( "x - 7y = -10\r<BR>\n" );
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document.write( "x-7(40/23)=-10<BR>\n" );
document.write( "X-280/23=-10\r<BR>\n" );
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document.write( "Multiply each term by 23\r<BR>\n" );
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document.write( "23X-280=-230<BR>\n" );
document.write( "add 280 to both sides\r<BR>\n" );
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document.write( "23X=50\r<BR>\n" );
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document.write( "Divide both sides by 23\r<BR>\n" );
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document.write( "X=50/23<BR>\n" );
document.write( "Let's plug in the values to confirm\r<BR>\n" );
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document.write( "x - 7y = -10\r<BR>\n" );
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document.write( "50/23-7(40/23)=-10  (50-280)/23=-230/23=-10<BR>\n" );
document.write( "3x + 2y = 10         3(50)/23 +2(40/23)=10  150/23+80/23=230/23=10\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );