Answer: option 2(0, 7)
Step-by-step explanation:
The given system of linear equations is expressed as
2x - 2y = - 14- - - - - - - - - - - 1
y = - 6x + 7- - - - - - - - - - 2
We would apply the method of substitution. Substituting y = - 6x + 7 into equation 1, it becomes
2x - 2(- 6x + 7) = - 14
2x + 12x - 14 = - 14
14x - 14 = - 14
Adding 14 to the left hand side and the right hand side of the equation, it becomes
14x - 14 + 14 = - 14 + 14
14x = 0
Dividing the left hand side and the right hand side of the equation by 14, it becomes
x = 0
Substituting x = 0 into equation 2, it becomes
y = - 6 × 0 + 7
y = 7
