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Solve the system of equations.\r
\n" ); document.write( "\n" ); document.write( "x-y+z=-8
\n" ); document.write( "x+y+z=-6
\n" ); document.write( "x+y-z= 4
\n" ); document.write( "solution:add the first and the third equations
\n" ); document.write( "x-y+z = -8
\n" ); document.write( "x+y-z = 4
\n" ); document.write( "2x= -4 since y and -y
\n" ); document.write( "and z and -z cancels
\n" ); document.write( "we got 2x = -4
\n" ); document.write( "divide this by 2 on both sides
\n" ); document.write( "x = -4/2 = -2
\n" ); document.write( "add second and third equations
\n" ); document.write( "x+y+z = -6
\n" ); document.write( "x+y-z= 4
\n" ); document.write( "2x + 2y = -2
\n" ); document.write( "divide both sides of this by 2
\n" ); document.write( "we get
\n" ); document.write( "x + y = -1
\n" ); document.write( "plug in x = -2 we got above in this
\n" ); document.write( "-2 + y = -1
\n" ); document.write( "add 2 on both sides
\n" ); document.write( "-2+2+y =-1+2
\n" ); document.write( "y = 1
\n" ); document.write( "now plug in the values of x = -2 and y = 1 in the first equation
\n" ); document.write( "x - y + z=-8
\n" ); document.write( "-2-1+z = -8
\n" ); document.write( "-3 +z = -8
\n" ); document.write( "add 3 on both sides
\n" ); document.write( "-3 + 3 + z = -8+3
\n" ); document.write( "z = -5
\n" ); document.write( "so the final answer is
\n" ); document.write( " x = -2 : y = 1 : z=-5\r
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