document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230317>Question 230317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve the following problems using the substitution method? The end result should be a set of (x,y) coordinates. \r<BR>\n" );
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document.write( "4x-y=5<BR>\n" );
document.write( "x=8-2y\r<BR>\n" );
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document.write( "-7x+y=32<BR>\n" );
document.write( "2x+3y=27\r<BR>\n" );
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document.write( "2x+y=5<BR>\n" );
document.write( "4x-3y=-10\r<BR>\n" );
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document.write( "4x+2y=7<BR>\n" );
document.write( "x-5y=10 \r<BR>\n" );
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document.write( "2x-y=2<BR>\n" );
document.write( "x+2y=18.5\r<BR>\n" );
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document.write( "If you could solve any or all that would be great! Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170533 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=170533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you solve the following problems using the substitution method? The end result should be a set of (x,y) coordinates. <BR>\n" );
document.write( "4x-y=5<BR>\n" );
document.write( "x=8-2y<BR>\n" );
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document.write( "Since x = 8-2y substitute that into the 1st equation and solve for \"y\":<BR>\n" );
document.write( "4(8-2y)-y = 5<BR>\n" );
document.write( "32-8y-y = 5<BR>\n" );
document.write( "27 = 9y<BR>\n" );
document.write( "y = 3<BR>\n" );
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document.write( "Since x = 8-2y, x = 8-2(3) = 2<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "(2,3)<BR>\n" );
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document.write( "-7x+y=32<BR>\n" );
document.write( "2x+3y=27 <BR>\n" );
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document.write( "Solve the 1st equation for \"y\"<BR>\n" );
document.write( "y = 7x+32<BR>\n" );
document.write( "Substitute that into the 2nd equation and solve for \"x\":<BR>\n" );
document.write( "2x + 3(7x+32) = 27<BR>\n" );
document.write( "2x + 21x + 96 = 27<BR>\n" );
document.write( "23x = -69<BR>\n" );
document.write( "x = -3<BR>\n" );
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document.write( "Since y = 7x+32, y = 7(-3)+32 = 11<BR>\n" );
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document.write( "solution: x = -3; y = 11<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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