document.write( "Question 147934This question is from textbook
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document.write( ": solve the system of equations. let z be parameter
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document.write( "5x + 3y + 4z = 19
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document.write( "3x - y + z = -4 \n" );
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Algebra.Com's Answer #108324 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! solve the system of equations. let z be parameter \n" ); document.write( "5x + 3y + 4z = 19 \n" ); document.write( "3x - y + z = -4 \n" ); document.write( "------------------ \n" ); document.write( "Rewrite: \n" ); document.write( "5x + 3y= -4z + 19 \n" ); document.write( "3x - y = -z -4 \n" ); document.write( "--------------------- \n" ); document.write( "Multiply thru 2nd equation by 3 to get: \n" ); document.write( "5x + 3y = -4z + 19 \n" ); document.write( "9x -3y = -3z - 12 \n" ); document.write( "------------------------- \n" ); document.write( "Add to eliminate the y-terms. \n" ); document.write( "-------------------------- \n" ); document.write( "14x = -7z + 7 \n" ); document.write( "x = (-1/2)z + (1/2) \n" ); document.write( "------------------------ \n" ); document.write( "Substitute that into 3x-y = -z-4 to solve for \"y\": \n" ); document.write( "3[(-1/2)z + (1/2)] - y = -z-4 \n" ); document.write( "(-3/2)z + (3/2) +z + 4 = y \n" ); document.write( "y = (-1/2)z + (11/2) \n" ); document.write( "------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |