Answer: x = - 1
y = - 1
Step-by-step explanation:
The given system of equations is expressed as
7x + 5y = - 12- - - - - -- - - - - - - - - -1
- 7x - 7y = 14- - - - -- - - - - - - - - -2
Applying the elimination method, we would eliminate x by adding equation 1 to equation 2. It becomes
5y - 7y = - 12 + 14
- 2y = 2
Dividing the left hand side and the right hand side of the equation by
- 2, it becomes
- 2y/-2 = 2/-2
y = - 1
Substituting y = - 1 into equation 1, it becomes
7x + 5 × - 1 = - 12
7x - 5 = - 12
Adding 5 to the left hand side and the right hand side of the equation, it becomes
7x - 5 + 5 = - 12 + 5
7x = - 7
Dividing the left hand side and the right hand side of the equation by
7, it becomes
7x/7 = - 7/7
x = - 1