document.write( "Question 1002143: Please help me with this problem. I have never understood this but have tried but for some reasons my answers comes out incorrect. Please show all work.\r
\n" ); document.write( "\n" ); document.write( "Given the system of equations
\n" ); document.write( "2x−3y−9z=9
\n" ); document.write( "x+3z=3
\n" ); document.write( "−3x+y−4z=−10\r
\n" ); document.write( "\n" ); document.write( " (a) determine whether the system is inconsistent or dependent;
\n" ); document.write( " Your answer is (input inconsistent or dependent)
\n" ); document.write( " (b) if your answer is dependent in (a), find the complete solution. Write x and y as functions of z.\r
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Algebra.Com's Answer #619131 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Given the system of equations
\n" ); document.write( "2x −3y -9z=9
\n" ); document.write( "x +0y + 3z=3
\n" ); document.write( "−3x+y−4z=−10
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\n" ); document.write( "Note:: x = -3z+3
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\n" ); document.write( "Substitute for \"x\" in rows 1 and 3::
\n" ); document.write( "2(-3z+3) -3y - 9z = 9
\n" ); document.write( "-3(-3z+3) + y - 4z = -10
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\n" ); document.write( "Simplify::
\n" ); document.write( "-3y -15z = 3
\n" ); document.write( "y + 5z = -1
\n" ); document.write( "-----
\n" ); document.write( "Modify::
\n" ); document.write( "y + 5z = -1
\n" ); document.write( "y + 5z = -1
\n" ); document.write( "---
\n" ); document.write( "The system is dependent.
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\n" ); document.write( "y = -5z-1
\n" ); document.write( "x = -3z + 3
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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