Find the solution to the system of equations - 3x-9y=18 and 4x+3y=12

(6, - 4)

Step-by-step explanation:

Given the 2 equations

- 3x - 9y = 18 → (1)

4x + 3y = 12 → (2)

Multiplying (2) by 3 and adding the result to (1) eliminates the term in y

12x + 9y = 36 → (3)

Add (1) and (3) term by term

( - 3x + 12x) + ( - 9y + 9y) = (18 + 36)

9x = 54 (divide both sides by 9)

x = 6

Substitute x = 6 into (1) or (2) and solve for y

(2) : 24 + 3y = 12 (subtract 24 from both sides)

3y = - 12 (divide both sides by 3)

y = - 4

Solution is (6, - 4)