document.write( "Question 1025532: Please help me and show steps. I never been good doing these.\r
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document.write( "Given the system of equations
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document.write( "2x-3y-9z=-5
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document.write( "x+3z=5
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document.write( "-3x+y-4z=-10\r
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document.write( " (a) determine whether the system is inconsistent or dependent;
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document.write( " Your answer is (input inconsistent or dependent)
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document.write( " (b) if your answer is dependent in (a), find the complete solution. Write x
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document.write( " and y as functions of z.
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document.write( "x=\r
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document.write( "y=
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Algebra.Com's Answer #640894 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 2x-3y-9z=-5 \n" ); document.write( " x+3z=5 \n" ); document.write( " -3x+y-4z=-10 \n" ); document.write( "-------------- \n" ); document.write( "The 2nd eqn has no y term, so eliminate y using the 1st and 3rd eqns. \n" ); document.write( "2x-3y-9z=-5 \n" ); document.write( "-3x+y-4z=-10 times 3 --> -9x+3y-12z = -30 \n" ); document.write( "----- \n" ); document.write( "2x -3y-9z=-5 \n" ); document.write( "-9x+3y-12z = -30 \n" ); document.write( "------------------- Add \n" ); document.write( "-7x - 21z = -35 \n" ); document.write( "Divide by -7 \n" ); document.write( "x + 3z = 5 \n" ); document.write( "That's the same as eqn 2 --> dependent, no unique solution \n" ); document.write( "---- \n" ); document.write( " (b) if your answer is dependent in (a), find the complete solution. Write x \n" ); document.write( " and y as functions of z. \n" ); document.write( "---- \n" ); document.write( "x = 5 - 3z \n" ); document.write( "y = 5 - 5z \n" ); document.write( " |