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Systems of Three Equations

Problems

Solving by Addition and Subtraction

Solving using Matrices and Row Reduction

Problem : Solve the following system using the Addition/Subtraction method:

2x + y + 3z = 10
-3x - 2y + 7z = 5
3x + 3y - 4z = 7

(x, y, z) = (- 1, 6, 2)

Problem : Solve the following system using the Addition/Subtraction method:

x + y - 2z = 5
2x + 3y + 4z = 18
- x - 2y - 6z = - 13

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

Problem : Solve the following system using the Addition/Subtraction method:

3x + 2y = 7
-4x + 3z = - 6
-2y - 6z = - 10

(x, y, z) = (3, - 1, 2)

Problem : Solve the following system using the Addition/Subtraction method:

4x + 2y - 5z = - 21
2x - 2y + z = 7
4x + 3y - z = - 1

(x, y, z) = (1, 0, 5)

Problem : Solve the following system using the Addition/Subtraction method:

x + y + z = 5
2x + 2y + 3z = 14
2x - 3y + 2z = - 5

(x, y, z) = (- 2, 3, 4)

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