explain the mistake that is made.Solve the system of

Chapter 9, Problem 47

(choose chapter or problem)

explain the mistake that is made.Solve the system of equations. Equation (1): 2x y z 2 Equation (2): x y 1 Equation (3): x z 1 Solution: Equation (2): x y 1 Equation (3): x z 1 Add Equation (2) and Equation (3). y z 2 Multiply Equation (1) by (1). 2x y z 2 Add. 2x 0 Solve for x. x 0 Substitute x 0 into Equation (2). 0 y 1 Solve for y. y 1 Substitute x 0 into Equation (3). 0 z 1 Solve for z. z 1 The answer is x 0, y 1, and z 1. This is incorrect. Although x 0, y 1, and z 1 does satisfy the three original equations, it is only one of innitely many solutions. What mistake was made?

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