Solve the system of equations. Equation (1): x 3y 2z 4 Equation (2): 3x 10y 9z 17
Chapter 9, Problem 48(choose chapter or problem)
Solve the system of equations. Equation (1): x 3y 2z 4 Equation (2): 3x 10y 9z 17 Equation (3): 2x 7y 7z 17 Solution: Multiply Equation (1) by 3. 3x 9y 6z 12 Equation (2): 3x 10y 9z 17 Add. y 3z 5 Multiply Equation (1) by 2. 2x 6y 4z 8 Equation (3): 2x 7y 7z 17 Add. y 3z 9 Solve the system of two equations. y 3z 5 y 3z 9 Infinitely many solutions. Let z a, then y 5 3a. Substitute z a and y 5 3a into x 3y 2z 4 Equation (1). x 3(5 3a) 2a 4 Eliminate parentheses. x 15 9a 2a 4 Solve for x. x 7a 11 The answer is x 7a 11, y 5 3a, and z a. This is incorrect. There is no solution. What mistake was made? In Exercises 47 and 48, explain the mista
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