Question

Solve by the elimination method. Identify this is the most consistent or inconsistent and if it is consistent decide whether the two equations are dependent or independent. What is the solution of the system?

Answer 1

OPTION A: There is one solution.

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).