document.write( "Question 190049: please help with this
\n" ); document.write( "if 2x=3y=6z
\n" ); document.write( "then what will be value of
\n" ); document.write( "1/x + 1/y + 1/z \n" ); document.write( "

Algebra.Com's Answer #142615 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Break up the equation
\n" ); document.write( "(1) $\"2x+=+3y\"$
\n" ); document.write( "(2) $\"3y+=+6z\"$
\n" ); document.write( "From (1)
\n" ); document.write( " $\"x+=+%283%2F2%29%2Ay\"$
\n" ); document.write( "From (2)
\n" ); document.write( " $\"6z+=+3y\"$
\n" ); document.write( " $\"z+=+%281%2F2%29%2Ay\"$
\n" ); document.write( "----------------
\n" ); document.write( " $\"1%2Fx+%2B+1%2Fy+%2B+1%2Fz\"$
\n" ); document.write( " $\"1%2F%28%283%2F2%29%2Ay%29+%2B+1%2Fy+%2B+1%2F%28%281%2F2%29%2Ay%29\"$
\n" ); document.write( "Multiply by $\"2%2F2\"$
\n" ); document.write( " $\"%282%2F2%29%2A%281%2F%28%283%2F2%29%2Ay%29+%2B+1%2Fy+%2B+1%2F%28%281%2F2%29%2Ay%29%29\"$
\n" ); document.write( "

\n" ); document.write( " $\"2%2F%283y%29+%2B+2%2F%282y%29+%2B+2%2Fy+\"$
\n" ); document.write( " $\"4%2F%286y%29+%2B+6%2F%286y%29+%2B+12%2F%286y%29\"$
\n" ); document.write( " $\"22%2F%286y%29\"$
\n" ); document.write( "(1) $\"11%2F%283y%29\"$
\n" ); document.write( "and since $\"y+=+2z\"$
\n" ); document.write( "(2) $\"11%2F%286z%29\"$
\n" ); document.write( "And since $\"y+=+%282%2F3%29%2Ax\"$
\n" ); document.write( "(3) $\"11%2F%284x%29\"$
\n" ); document.write( "(1),(2), and (3) are answers \n" ); document.write( "

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