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

The answer is B: (-2,3)

Step-by-step explanation: I just took the test

( - 2, 3)

Step-by-step explanation:

Given the 2 equations

7x - 2y = - 20 → (1)

9x + 4y = - 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the term in y

14x - 4y = - 40 → (3)

Add (2) and (3) term by term to eliminate the term in y

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

x = - 2

Substitute x = - 2 into either of the 2 equations and evaluate for y

Substituting into (2)

9 ( - 2) + 4y = - 6

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

4y = 12 (divide both sides by 4)

y = 3

Solution is ( - 2, 3)