document.write( "Question 795005: {2x-y=9
\n" ); document.write( "{x-2z=-3
\n" ); document.write( "{2y+3z=15
\n" ); document.write( "Solve each system! \n" ); document.write( "

Algebra.Com's Answer #480791 by stanbon(75887) $\"\"$ $\"About$

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{2x-y=9
\n" ); document.write( "{x-2z=-3
\n" ); document.write( "{2y+3z=15
\n" ); document.write( "-------
\n" ); document.write( "{2x-y=9
\n" ); document.write( "{x-2z= -3
\n" ); document.write( "{2y+3z=15
\n" ); document.write( "Modify::
\n" ); document.write( "y = 2x-9
\n" ); document.write( "z = (x+3)/2
\n" ); document.write( "------------
\n" ); document.write( "Substitute into 2y + 3z = 15 and solve for \"x\":
\n" ); document.write( "2(2x-9) +3(x+3)/2 = 15
\n" ); document.write( "------------
\n" ); document.write( "4(2x-9) + 3x+9 = 30
\n" ); document.write( "8x - 36 + 3x + 9 = 30
\n" ); document.write( "11x - 27 = 30
\n" ); document.write( "11x = 57
\n" ); document.write( "x = 5 2/11
\n" ); document.write( "-------
\n" ); document.write( "Solve for \"y\" and for \"z\"::
\n" ); document.write( "y = 2(57/11)-(99/11)
\n" ); document.write( "y = 15/11
\n" ); document.write( "-------
\n" ); document.write( "Solve for \"z\"::z = (x+3)/2
\n" ); document.write( "z = [57/11 + 33/11)/2 = 45/11
\n" ); document.write( "===============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=========== \n" ); document.write( "

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