Using the linear combination method, what is the solution to the system of linear equations 7x-2y=-20 and 9x+4y=-6?

The answer would be well, B. (-2,3)

(x, y) = ( - 2, 3)

Step-by-step explanation:

given the 2 equations

7x - 2y = - 20 → (1)

9x + 4y = - 6 → (2)

multiply (1) by 2 making the coefficients of y equal and opposite

14x - 4y = - 40 → (3)

add (2) and (3) term by term

(9x + 14x) + (4y - 4y) = ( - 6 - 40)

23x = - 46 (divide both sides by 23)

x = - 2

substitute x = - 2 into either (1) or (2) for y

(2) - 18 + 4y = - 6 (add 18 to both sides)

4y = 12 (divide both sides by 4)

y = 3

solution is ( - 2, 3)