Answer:x = 0, y = - 2
Step-by-step explanation:
The given system of equations is expressed as
5x - 3y = 6 - - - - - - - - - - - - 1
2x + 5y = - 10 - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 2 and equation 2 by 5. It becomes
10x - 6y = 12 - - - - - - - - - - - 3
10x + 25y = - 50- - - - - - - - - - - 4
Subtracting equation 2 from equation 1, it becomes
- 31y = 62
Dividing the Left hand side and the right hand side of the equation by
- 31, it becomes
- 31y/ - 31 = 62/- 31
y = - 2
Substituting y = - 2 into equation 1, it becomes
5x - 3 × - 2 = 6
5x + 6 = 6
5x = 6 - 6 = 0
x = 0
