document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=837974>Question 837974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the systems using substitution. <BR>\n" );
document.write( "1) 3x - 11y = 16 <BR>\n" );
document.write( "     x + y = 3  \r<BR>\n" );
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document.write( "2) 4x - y = 4 <BR>\n" );
document.write( "     x + 2y = 10 <BR>\n" );
document.write( " HELP I DONT KNOW WHAT IM DOING </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #506725 by </B><A HREF=/tutors/aboutme.mpl?userid=grishma.kshatriya><B>grishma.kshatriya(27)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=grishma.kshatriya><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=506725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solution  : <BR>\n" );
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document.write( "The substitution method is used to eliminate one of the variables by replacement when solving a system of equations.\r<BR>\n" );
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document.write( "(1)\r<BR>\n" );
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document.write( "3x - 11y = 16..........(1) <BR>\n" );
document.write( "x + y = 3..............(2)<BR>\n" );
document.write( "We can write the (2) equation as  x = 3 - y <BR>\n" );
document.write( "Substituting the value x in equation (1) we get , <BR>\n" );
document.write( "3x - 11y = 16<BR>\n" );
document.write( "3(3 - y ) - 11y = 16<BR>\n" );
document.write( "9 - 3y - 11y = 16 <BR>\n" );
document.write( "9 - 14y = 16<BR>\n" );
document.write( "-14y = 16 - 9<BR>\n" );
document.write( "-14y = 7<BR>\n" );
document.write( "So  y = -1/2<BR>\n" );
document.write( "Replug the y=-1/2 in (2) we get , <BR>\n" );
document.write( "x - 1/2 = 3 <BR>\n" );
document.write( "x = 3+1/2<BR>\n" );
document.write( "x = 7/2 <BR>\n" );
document.write( "So we have the value as  x = 7/2 and y = -1/2\r<BR>\n" );
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document.write( "(2)  \r<BR>\n" );
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document.write( " 4x - y = 4.......(1) <BR>\n" );
document.write( " x + 2y = 10......(2)<BR>\n" );
document.write( "from (2)  x = 10 - 2y<BR>\n" );
document.write( "Plug it in (1) <BR>\n" );
document.write( "4(10 - 2y) - y = 4<BR>\n" );
document.write( "40 - 8y - y = 4<BR>\n" );
document.write( "40 - 9y = 4<BR>\n" );
document.write( "-9y = -40 + 4<BR>\n" );
document.write( "-9y = -36<BR>\n" );
document.write( " y = 4<BR>\n" );
document.write( "Replug in equation (2)<BR>\n" );
document.write( "x+ 2y = 10<BR>\n" );
document.write( "x + 2(4) = 10<BR>\n" );
document.write( "x = 10 - 8<BR>\n" );
document.write( "x = 2\r<BR>\n" );
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document.write( "So we have the value as  x = 2 and y = 4\r<BR>\n" );
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document.write( "Thank you. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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