document.write( "Question 1014507: 5.8\r
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document.write( "Solve the given system of equations\r
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document.write( "5x+2y-5z=11
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document.write( "2x-5y+2z=-1
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document.write( "4x-3y+4z=19\r
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document.write( "The solution set is { }\r
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document.write( "I got {4,3,3} is this correct? \n" );
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Algebra.Com's Answer #630782 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! you are correct \n" ); document.write( "************************************************** \n" ); document.write( "1) 5x +2y -5z = 11 \n" ); document.write( "2) 2x -5y +2z = -1 \n" ); document.write( "3) 4x -3y +4z = 19 \n" ); document.write( "************************************************* \n" ); document.write( "multiply 2) by 2 and subtract from 3) \n" ); document.write( "7y = 21 \n" ); document.write( "y = 3 \n" ); document.write( "************************************************* \n" ); document.write( "substitute for y in 1) and 2) \n" ); document.write( "5x +6 - 5z = 11 \n" ); document.write( "5x -5z = 5 \n" ); document.write( "x - z = 1 \n" ); document.write( ": \n" ); document.write( "2x -15 + 2z = -1 \n" ); document.write( "2x +2z = 14 \n" ); document.write( "x + z = 7 \n" ); document.write( "********************************************* \n" ); document.write( "solve first for x \n" ); document.write( "x = z+ 1 \n" ); document.write( "now substitute for x in second \n" ); document.write( "z+1 +z = 7 \n" ); document.write( "2z = 6 \n" ); document.write( "z = 3 \n" ); document.write( "******************************************** \n" ); document.write( "now substitute for y=3 and z=3 in equation 1) \n" ); document.write( "5x +6 -15 = 11 \n" ); document.write( "5x = 20 \n" ); document.write( "x = 4 \n" ); document.write( "********************************************* \n" ); document.write( "solution set is (4, 3, 3) \n" ); document.write( " \n" ); document.write( " |