document.write( "Question 724440: x+y+z=45
\n" ); document.write( "6x+5.40y+4.5z=252
\n" ); document.write( "z=2y \n" ); document.write( "

Algebra.Com's Answer #443747 by mananth(16946) $\"\"$ $\"About$

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x+y+z=45
\n" ); document.write( "6x+5.40y+4.5z=252
\n" ); document.write( "z=2y\r
\n" ); document.write( "\n" ); document.write( "substitute z\r
\n" ); document.write( "\n" ); document.write( "x+y+2y=45
\n" ); document.write( "x+3y=45
\n" ); document.write( "6x+5.4y+9y=252
\n" ); document.write( "6x+14.4y=252\r
\n" ); document.write( "\n" ); document.write( "1.00 x + 3.00 y = 45.00 .............1
\n" ); document.write( "Total value
\n" ); document.write( "6.00 x + 14.40 y = 252.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 14.40
\n" ); document.write( "Multiply (2) by -3.00
\n" ); document.write( "14.40 x 43.20 y = 648.00
\n" ); document.write( "-18.00 x -43.20 y = -756.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "-3.60 x = -108.00
\n" ); document.write( "/ -3.60
\n" ); document.write( "x = 30.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + 3.00 y = 45.00
\n" ); document.write( "30.00 + 3.00 y = 45.00
\n" ); document.write( " 3.00 y = 45.00 -30.00
\n" ); document.write( " 3.00 y = 15.00
\n" ); document.write( " y = 5.00 \r
\n" ); document.write( "\n" ); document.write( "z=2y
\n" ); document.write( "z=10 \n" ); document.write( "

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