Answer:
OPTION A: There is one solution.
Step-by-step explanation:
The two equations are:
x + y = -2 ......(1)
and x - y = 8 ......(2)
We solve by elimination.
⇒ x = -2 - y.
Substituting this in the second equation.
⇒ -2 - y - y = 8 ⇒ -2 -2y = 8
⇒ -2y = -10 ⇒ y = -5
Now, substituting this in x = - 2 - y, we get:
⇒ x = -2 -(-5)) ⇒ x = 3
Therefore, the solution is (3,-5).
This is the only solution to the equation.
So, OPTION A which says there is one solution is the answer. The ordered pair is: (3,-5).
