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