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Systems of Three Equations

Problems

Solving using Matrices and Cramer's Rule

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Problem : Solve the following system using Cramer's Rule:

x + y + z = 7
2x - 2y + 3z = 14
- x - y + z = 1

(x, y, z) = (2, 1, 4)

Problem : Solve the following system using Cramer's Rule:

2x + 3y + z = - 3
3x + 2z = 7
x + 2y + z = 0

(x, y, z) = (- 1, - 2, 5)

Problem : Solve the following system using Cramer's Rule:

x + 2y + 2z = 0
2x - y - 6z = - 5
2y + 5z = 6

(x, y, z) = (6, - 7, 4)

Problem : Solve the following system using Cramer's Rule:

2x + 2y + z = 2
x + y + z = 3
3x + 5y + 2z = 2

(x, y, z) = (, - , 4)

Problem : Solve the following system using Cramer's Rule:

x + y - 3z = - 4
4x + 2y - 6z = - 2
5x + 5y + 4z = 4

(x, y, z) = (2, - 2, 1)

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