document.write( "Question 935049: solve the system using any method 2x-3y+4z=1, x+2y+z=10, 3y-z=8 \n" ); document.write( "

Algebra.Com's Answer #568163 by stanbon(75887) $\"\"$ $\"About$

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solve the system using any method
\n" ); document.write( "2x-3y+4z=1
\n" ); document.write( "x+2y+z=10
\n" ); document.write( "3y-z=8
\n" ); document.write( "-----
\n" ); document.write( "z = 3y-8
\n" ); document.write( "---
\n" ); document.write( "Substitute into the 1st and 2nd equation to get:
\n" ); document.write( "2x - 3y + 4(3y-8) = 1
\n" ); document.write( "2x - 3y + 12y - 32 = 1
\n" ); document.write( "2x + 9y = 33
\n" ); document.write( "-----
\n" ); document.write( "x + 2y + 3y-8 = 10
\n" ); document.write( "x + 5y = 18
\n" ); document.write( "------
\n" ); document.write( "You now have a 2-variable system::
\n" ); document.write( "x + 5y = 18
\n" ); document.write( "2x+ 9y = 33
\n" ); document.write( "-----
\n" ); document.write( "Modify for elimination::
\n" ); document.write( "2x + 10y = 36
\n" ); document.write( "2x + 9y = 33
\n" ); document.write( "----
\n" ); document.write( "Subtract and solve for \"y\"::
\n" ); document.write( "y = 3
\n" ); document.write( "---
\n" ); document.write( "Solve for \"x\" using x + 5y = 18
\n" ); document.write( "x + 15 = 18
\n" ); document.write( "x = 3
\n" ); document.write( "---
\n" ); document.write( "Solve for \"z\" usng z = 3y-8
\n" ); document.write( "z = 3*3-8
\n" ); document.write( "z = 1
\n" ); document.write( "-----
\n" ); document.write( "Ans:: (3,3,1)
\n" ); document.write( "-----------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "----------------- \n" ); document.write( "

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