# SOLUTION: Can you show me the steps to solve this please.. x-y-z=6 x-2y-3z=14 x-3y-7z=28 All of these three equation are used to find out the value of x, y, and z Thank you very muc

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Can you show me the steps to solve this please.. x-y-z=6 x-2y-3z=14 x-3y-7z=28 All of these three equation are used to find out the value of x, y, and z Thank you very muc      Log On

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 Click here to see ALL problems on Linear-systems Question 246181: Can you show me the steps to solve this please.. x-y-z=6 x-2y-3z=14 x-3y-7z=28 All of these three equation are used to find out the value of x, y, and z Thank you very much..Answer by stanbon(57347)   (Show Source): You can put this solution on YOUR website!x-y-z=6 x-2y-3z=14 x-3y-7z=28 ------------------- Subtract the 1st Eq. from the 2nd Subtract the 1st Eq. from the 3rd. --- x-y-z=6 0-y-2z=8 0-2y-6z=22 ------------------------- Subtract 2 times the 2nd Eq from the 3rd. x-y-z=6 0-y-2z=8 0-0-2z=6 --------------------------------- Solve the 3rd equation for "z": -2z = 6 z = -3 ------------------------------ Substitute z = -3 into the 2nd Eq. and solve for "y": -y-2(-3) = 8 -y + 6 = 8 y = -2 ---------------------- Substitute z=-3 and y=-2 into the 1st Eq and solve for "x": x-(-2)-(-3) = 6 x+2+3 = 6 x = 1 --------------------------------- Cheers, Stan H.