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.

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step-by-step explanation: