document.write( "Question 709505: *Solving systems of Linear Equations in Three Variables by Elimination*\r
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document.write( "does anyone know how to solve x,y,z equations for x and explain?!\r
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document.write( "2x + y + z = 0
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document.write( "3x - y + z = 3
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document.write( "7x - 5y - 3z = 15
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document.write( "thanks! \n" );
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Algebra.Com's Answer #436613 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! solve x,y,z equations for x and explain?! \n" ); document.write( "2x + y + z = 0 \n" ); document.write( "3x - y + z = 3 \n" ); document.write( "7x - 5y - 3z = 15 \n" ); document.write( "------- \n" ); document.write( "Setting up: \n" ); document.write( "Subtract 1st row from 2nd and make the difference the 1st row: \n" ); document.write( "x - 2y + 0 = 3 \n" ); document.write( "2x + y + z = 0 \n" ); document.write( "7x - 5y - 3z = 15 \n" ); document.write( "------------------------------ \n" ); document.write( "Subtract 2*1st row from 2nd row \n" ); document.write( "Subtract 7*1st row from 3rd row \n" ); document.write( "------------------- \n" ); document.write( "x - 2y + 0 = 3 \n" ); document.write( "0 + 5y + z = -6 \n" ); document.write( "0 + 9y -3z = -6 \n" ); document.write( "------- \n" ); document.write( "Solve equations 2 and 3 for y and z: \n" ); document.write( "5y + z = -6 \n" ); document.write( "3y - z = -2 \n" ); document.write( "----- \n" ); document.write( "Add and solve for \"y\": \n" ); document.write( "8y = -8 \n" ); document.write( "y = -1 \n" ); document.write( "--- \n" ); document.write( "Solve for \"z\" using 3y-z = -2 \n" ); document.write( "3*-1 -z = -2 \n" ); document.write( "z = -1 \n" ); document.write( "----- \n" ); document.write( "Solve for \"x\" using \n" ); document.write( "2x + y + z = 0 \n" ); document.write( "2x + -1 + -1 = 0 \n" ); document.write( "x = 1 \n" ); document.write( "========================= \n" ); document.write( "Solution: \n" ); document.write( "x = 1 \n" ); document.write( "y = -1 \n" ); document.write( "z = -1 \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============================== \n" ); document.write( " |