document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26479>Question 26479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each system of equations using the substitution method.<BR>\n" );
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document.write( "1)4x+y=160        <BR>\n" );
document.write( "12x-13y=-160  \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14339 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrawiz><B>algebrawiz(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrawiz><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=14339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ok, lets go through the steps.<BR>\n" );
document.write( "1.You need to solve the equation for x or y. Using the first equation(4x+y=16) lets solve for y.<BR>\n" );
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document.write( "       a.    4x + y = 16<BR>\n" );
document.write( "       b. subtract 4x from both sides<BR>\n" );
document.write( "       c. we get y =-4x + 16<BR>\n" );
document.write( "2.Now we can use this information to solve the problem by substituting -4x+16 into y for the second equation (12x-13y=-160). Lets do this:\r<BR>\n" );
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document.write( "       a.   12x - 13y = -160<BR>\n" );
document.write( "       b.   12x - 13(-4x+16) = -160    plug -4x+16  in for y<BR>\n" );
document.write( "       c    12x - (-52x+208) = -160    distribute the 13 (notice I put the answer in parentheses so that I can distribute the - sign.)<BR>\n" );
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document.write( "       d.   12x + 52x - 208 = -160     distibute the - sign<BR>\n" );
document.write( "       e.   64x - 208 = -160           combine like terms (x), now solve for x<BR>\n" );
document.write( "       f.   add 208 to both sides<BR>\n" );
document.write( "       g.   64x = 48                   next divide both sides by 64<BR>\n" );
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document.write( "       h.   x= 48/64 = .75              since we know y=-4x+16 lets plug in x to find y<BR>\n" );
document.write( "       i.y= -4(.75)+16                 do the math<BR>\n" );
document.write( "        y=13                           so the answer is x=.75 and y= 13\r<BR>\n" );
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document.write( "The best part of algebra is that you can check the solution by pluging it back into the problem. Remember it must be true for both of the ORIGINAL equation     </SPAN>\n" );
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