Solve the system of equations by the addition method.
x - 3y = 7
-x + 5y = -11

x = 1

y = - 2

Step-by-step 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

c) yes, because of asa or aas