document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230903>Question 230903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am really having hard time with linear equation systems and understanding how to solve them this problem is another one.\r<BR>\n" );
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document.write( "0.2x + 0.4y = 1.7 and 8.3x - 6.3y = -4.3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171022 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><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=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=171022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "There's a couple ways to solve this or any system of equations. I'll show you one way and I'll try to keep it as simple as possible. \r<BR>\n" );
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document.write( "What we do is multiply the first equation by 15.75. You'll see in a second why we're doing this. This will give us:\r<BR>\n" );
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document.write( "                          (15.75)0.2x + (15.75)0.4y = (15.75)1.7 or\r<BR>\n" );
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document.write( "                             3.15x + 6.3y = 26.775\r<BR>\n" );
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document.write( "You'll see that 6.3y is now the same as in the other equation so we can add both equation together. \r<BR>\n" );
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document.write( "                             3.15x + 6.3y = 26.775<BR>\n" );
document.write( "                          +  8.3x  - 6.3y = -4.3\r<BR>\n" );
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document.write( "This leaves us with         11.45x        = 22.475<BR>\n" );
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document.write( "Divide 11.45 into both sides to give us:<BR>\n" );
document.write( "     <BR>\n" );
document.write( "                                  x = 1.962882<BR>\n" );
document.write( "                     <BR>\n" );
document.write( "(This number gets pretty strange so we need to ensure that you have copied exactly the correct numbers from the original problem in the book) Supposing you have copied the correct numbers; you would plug 1.962882 into the equation to find y. <BR>\n" );
document.write( "Looks like this:\r<BR>\n" );
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document.write( "                              (0.2)(1.962882) + 0.4y = 1.7<BR>\n" );
document.write( "Solve for y: <BR>\n" );
document.write( "                                 y = 1.3074236<BR>\n" );
document.write( "You can put both the answers we got for x and y into either equation and it will be correct. <BR>\n" );
document.write( "You might be wondering how I found 15.75 to multiply the first equation. I simply divided 6.3 by .4\r<BR>\n" );
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document.write( "RJ Toftness<BR>\n" );
document.write( "Author of \"Unlock the Mystery to Math\"<BR>\n" );
document.write( "www.math-unlock.com<BR>\n" );
document.write( " </SPAN>\n" );
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