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3x - y + 4z = 12
\n" ); document.write( "x + y - 3z = -4
\n" ); document.write( "4x + y - z = 7
\n" ); document.write( "-------------------add the three equations, eliminates z
\n" ); document.write( "8x + y = 15
\n" ); document.write( ":
\n" ); document.write( "Using the 2nd and 3rd equations, multiply the 3rd by -3, add to the 2nd
\n" ); document.write( "x + y - 3z = -4
\n" ); document.write( "-12x - 3y + 3z = -21
\n" ); document.write( "-------------------- adding eliminates z
\n" ); document.write( "-11x - 2y = -25
\n" ); document.write( "16x + 2y = 30; multiplied 8x+y=15 by 2
\n" ); document.write( "---------------adding eliminates y, find x
\n" ); document.write( "5x = 5
\n" ); document.write( "x = 1
\n" ); document.write( ":
\n" ); document.write( "Find y
\n" ); document.write( "8x + y = 15
\n" ); document.write( "8(1) + y = 15
\n" ); document.write( "y = 15 -8
\n" ); document.write( "y = 7
\n" ); document.write( ":
\n" ); document.write( "Find z
\n" ); document.write( "3x - y + 4z = 12
\n" ); document.write( "3(1) - 7 + 4z = 12
\n" ); document.write( "-4 + 4z = 12
\n" ); document.write( "4z = 12 + 4
\n" ); document.write( "z = 16/4
\n" ); document.write( "z = 4
\n" ); document.write( ":
\n" ); document.write( "Summarize
\n" ); document.write( "x = 1
\n" ); document.write( "y = 7
\n" ); document.write( "z = 4
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this in the 2nd equation
\n" ); document.write( "x + y - 3z = -4
\n" ); document.write( "1 + 7 - 3(4) = -4
\n" ); document.write( "8 - 12 = -4
\n" ); document.write( ":
\n" ); document.write( "You can check this in the other two equations \n" ); document.write( "