document.write( "Question 523756: 16x-12y=44 and 1/(14x-8) - 1/(6y-14)=1/4 .Calculate x and y for the above equations? \n" ); document.write( "
Algebra.Com's Answer #347398 by mananth(16949)\"\" \"About 
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16x-12y=44
\n" ); document.write( "/4
\n" ); document.write( "4x-3y=11
\n" ); document.write( "3y=4x-11
\n" ); document.write( "multiply by 2
\n" ); document.write( "6y=8x-22
\n" ); document.write( "substitute 6y in equation \r
\n" ); document.write( "\n" ); document.write( "\"1%2F%2814x-8%29+-+1%2F%286y-14%29=1%2F4+\"\r
\n" ); document.write( "\n" ); document.write( "\"1%2F%2814x-8%29+-1%2F%288x-22-14%29=1%2F4\"\r
\n" ); document.write( "\n" ); document.write( "LCD = 4(14x-8)(8x-36)\r
\n" ); document.write( "\n" ); document.write( "\"4%288x-36%29-4%2814x-8%29=%2814x-8%29%288x-36%29\"\r
\n" ); document.write( "\n" ); document.write( "\"32x-144-56x%2B32=112x%5E2--504-64x%2B288\"\r
\n" ); document.write( "\n" ); document.write( "Add like terms
\n" ); document.write( "112x^2-528x+400=0
\n" ); document.write( "/16
\n" ); document.write( "7x^2-34x+25=0
\n" ); document.write( "Find the roots of the equation by quadratic formula
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\n" ); document.write( "a= 7 ,b= -34 ,c= 25
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\n" ); document.write( "b^2-4ac= 1156 + -700
\n" ); document.write( "b^2-4ac= 456
\n" ); document.write( "\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "\"x1=%28-12%2B21%29%2F%2814%29\"
\n" ); document.write( "x1=( 34 + 21.35 )/ 14
\n" ); document.write( "x1= 3.95
\n" ); document.write( "x2=( 34 -21.35 ) / 14
\n" ); document.write( "x2= 0.9
\n" ); document.write( "3y=4x-11
\n" ); document.write( "plug x=3.95
\n" ); document.write( "3y=4*3.95-11
\n" ); document.write( "y=(4*3.95-11)/3
\n" ); document.write( "y=1.6
\n" ); document.write( "(3.95,1.6)
\n" ); document.write( "---
\n" ); document.write( "3y=4x-11
\n" ); document.write( "plug x=0.9
\n" ); document.write( "3y=4*0.9-11
\n" ); document.write( "y=(4*0.9-11)/3
\n" ); document.write( "y=-2.46
\n" ); document.write( "(0.9,-2.46)\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca\r
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