document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=754504>Question 754504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations and give the value of x.\r<BR>\n" );
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document.write( "8x = 23 + 7y<BR>\n" );
document.write( "2x + 4y = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463451 by </B><A HREF=/tutors/aboutme.mpl?userid=lenny460><B>lenny460(1073)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lenny460><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=lenny460><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=463451\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations and give the value of x.\r<BR>\n" );
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document.write( "8x = 23 + 7y<BR>\n" );
document.write( "2x + 4y = 0\r<BR>\n" );
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document.write( "2x + 4y = 0\r<BR>\n" );
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document.write( "Divide each item by 2\r<BR>\n" );
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document.write( "Therefore:\r<BR>\n" );
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document.write( "x + 2y = 0\r<BR>\n" );
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document.write( "Subtract 2y from each side of the equation.\r<BR>\n" );
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document.write( "x + 2y - 2y = 0 - 2y\r<BR>\n" );
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document.write( "x = -2y\r<BR>\n" );
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document.write( "Rearrange equation 1:\r<BR>\n" );
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document.write( "8x = 23 + 7y\r<BR>\n" );
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document.write( "Subtract 7y from each side of the equation\r<BR>\n" );
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document.write( "8x - 7y = 23 + 7y - 7y\r<BR>\n" );
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document.write( "8x - 7y = 23\r<BR>\n" );
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document.write( "Substitute x = -2y into equation 1\r<BR>\n" );
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document.write( "8(-2y) - 7y = 23\r<BR>\n" );
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document.write( "-16y - 7y = 23\r<BR>\n" );
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document.write( "-23y = 23\r<BR>\n" );
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document.write( "Divide each side by -23\r<BR>\n" );
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document.write( "y = -1\r<BR>\n" );
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document.write( "We already have:\r<BR>\n" );
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document.write( "x = -2y\r<BR>\n" );
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document.write( "Therefore:\r<BR>\n" );
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document.write( "x = -2(-1)\r<BR>\n" );
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document.write( "x = 2\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "8x - 7y = 23\r<BR>\n" );
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document.write( "8(2) - 7(-1) = 23\r<BR>\n" );
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document.write( "16 - (-7) = 23\r<BR>\n" );
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document.write( "- (-7) = +7\r<BR>\n" );
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document.write( "16 + 7 = 23\r<BR>\n" );
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document.write( "23 = 23\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "2x + 4y = 0\r<BR>\n" );
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document.write( "2(2) + 4(-1) = 0\r<BR>\n" );
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document.write( "4 + (-4) = 0\r<BR>\n" );
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document.write( "4 - 4 = 0\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "x = 2 and\r<BR>\n" );
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document.write( "y = -1\r<BR>\n" );
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document.write( "Lennox Obuong<BR>\n" );
document.write( "Algebra Tutor<BR>\n" );
document.write( "Nairobi, Kenya<BR>\n" );
document.write( "Email: lennoxobuong@yahoo.com </SPAN>\n" );
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