X + y = 0

3x - 2y = 10

Which of the following ordered pairs (x, y) satisfies

the system of equations above?

A) (3,-2)

B) (2,-2)

C) (-2,2)

D) (-2,-2)

The solution of x + y = 0 and 3x - 2y = 10 is (2, - 2) and option b is correct.

Solution:

Given, two lines of equations are x + y = 0 and 3x - 2y = 10.

We have to find the solution of the given two line of equations.

Now, take x + y = 0 → y = - x

Substitute y value in other equation.

→ 3x - 2y = 10 → 3x - 2 (-x) = 10 → 3x + 2x = 10 → 5x = 10 → x = 2

Then, y = - x → y = - (2) → y = - 2.

So, the solution of the given two equations will be (2, - 2).

Hence, solution is (2, - 2) and option b is correct.