Find the solution of this system of equations 6x+3y=12 6x-5y=60

(5, - 6)

Step-by-step explanation:

Given the 2 equations

6x + 3y = 12 → (1)

6x - 5y = 60 → (2)

Multiply (2) by - 1 and add to (1) will eliminate the term in x

- 6x + 5y = - 60 → (3)

Add (1) and (3) term by term

(6x - 6x) + (3y + 5y) = (12 - 60)

8y = - 48 (divide both sides by 8)

y = - 6

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

Using (1), then

6x - 18 = 12 (add 18 to both sides)

6x = 30 (divide both sides by 6)

x = 5

Solution is (5, - 6)