Answer:
Step-by-step explanation:
Given the system:
- x + y - z = 4
- 3x + 2y + 4z = 17
- -x + 5y + z = 8
Add up the first and third equations, solve for y:
- x + y - z - x + 5y + z = 4 + 8
- 6y = 12
- y = 2
Substitute the value of y to get the system:
Multiply the first equation by 4 and add up the second equation to solve for x:
- 4x - 4z + 3x + 4z = 8 + 13
- 7x = 21
- x = 3
Find the value of z:
The solution is:
