Hence, The solution is:
x = 1
y = - 2
z = 2
Explanation:
3x + y = 1
x - y + z = 5
3x + y + z = 3
- Eliminate Variables by Method of Elimination:
x + y = -1
- Unite The System of Linear Equations in Two Variables:
x + y = -1
3x + y = 1
x = 1
y = -2
- Substitute into an original equation:
1 - (-2) + z = 5
- Evaluate the Value of the Variable:
z = 2
- Solve a Three Variable System:
Hence, The Solution is: x = 1, y = -2, z = 2
I hope this helps you!