Answer: x = - 2
y = - 4
Step-by-step explanation:
The given system of linear equations is expressed as
3x - 2y = 2- - - - - - - - - - - - -1
5x - 5y = 10- - - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 5 and equation 2 by 3. It becomes
15x - 10y = 10- - - - - - - - - - -3
15x - 15y = 30- - - - - - - - - - - -4
Subtracting equation 4 from equation 3, it becomes
5y = - 20
Dividing the the left hand side and the right hand side of the equation by 5, it becomes
5y/5 = - 20/5
y = - 4
Substituting y = - 4 into equation 1, it becomes
3x - 2 × - 4 = 2
3x + 8 = 2
3x = 2 - 8
3x = - 6
Dividing the the left hand side and the right hand side of the equation by 3, it becomes
3x/3 = - 6/3
x = - 2
