Answer:x = 1
y = - 2
Explanation:
The given system of equations is expressed as
x - 3y = 7 - - - - - - - - - - - - - 1
-x + 5y = -11 -- - - - - - - - - - - - - 2
Since the coefficients of x on both rows are equal and the signs are opposite, we would add equation 1 to equation 2. It becomes
2y = - 4
Dividing the Left hand side and the right hand side of the equation by 2, it becomes
2y/2 = - 4/2
y = - 2
Substituting y = - 2 into equation 1, it becomes
x - 3 × - 2 = 7
x + 6 = 7
x = 7 - 6 = 1