document.write( "Question 1008442: Solve the following system of equations \r
\n" ); document.write( "\n" ); document.write( "1/3x -1/4y =-6\r
\n" ); document.write( "\n" ); document.write( "2x - 1/5y =2/5
\n" ); document.write( "

Algebra.Com's Answer #624139 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Solve the following system of equations \r
\n" ); document.write( "\n" ); document.write( "1/3x -1/4y =-6\r
\n" ); document.write( "\n" ); document.write( "2x - 1/5y =2/5
\n" ); document.write( "
\"%281%2F3%29x+-+%281%2F4%29y+=+-+6\" 
\n" ); document.write( "\"x%2F3+-+y%2F4+=+-+6\"
\n" ); document.write( "4x - 3y = - 72 -------- Multiplying by LCD, 12 ------ eq (i)\r
\n" ); document.write( "\n" ); document.write( "\"2x+-+%281%2F5%29y+=+2%2F5\"
\n" ); document.write( "\"2x+-+y%2F5+=+2%2F5\"
\n" ); document.write( "10x - y = 2 --------- Multiplying by LCD, 5 ---------- eq (ii)
\n" ); document.write( "- 30x + 3y = - 6 ---- Multiplying eq (ii) by - 3 ----- eq (iii)
\n" ); document.write( "- 26x = - 78 -------- Adding eqs (iii) & (i)
\n" ); document.write( "x = \"%28-+78%29%2F%28-+26%29\", or \"highlight_green%283%29\"\r
\n" ); document.write( "\n" ); document.write( "4(3) - 3y = - 72 ------ Substituting 3 for x in eq (i)
\n" ); document.write( "12 - 3y = - 72
\n" ); document.write( "- 3y = - 72 - 12
\n" ); document.write( "- 3y = - 84
\n" ); document.write( "y = \"%28-+84%29%2F%28-+3%29\", or \"highlight_green%2828%29\" \n" ); document.write( "
\n" );