Answer: x = - 2
y = 0
Step-by-step explanation:
The given system of linear equations is expressed as
x + 4y = - 2 - - - - - - - - - - - - - 1
- 5x + 5y = 10- - - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 5 and equation 2 by 1. It becomes
5x + 20y = - 10
- 5x + 5y = 10
Adding both equations, it becomes
25y = 0
Dividing both sides by 25, it becomes
y = 0/25 = 0
Substituting y = 0 into equation 1, it becomes
x + 4 × 0 = - 2
x = - 2
The system of equations have only one solution.
