What is the value of y in the solution to the following system kid equations 5x-3y=-11 2x-6y=-14

y = 2

Step-by-step explanation:

given the 2 equations

5x - 3y = - 11 → (1)

2x - 6y = - 14 → (2)

multiply (1) by - 2, to eliminate the term in y

- 10x + 6y = 22 → (3)

add (2) and (3) term by term

(2x - 10x) + ( - 6y + 6y) = ( - 14 + 22)

- 8x = 8 (divide both sides by - 8)

x = - 1

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

(1) : - 5 - 3y = - 11 (add 5 to both sides)

- 3y = - 6 (divide both sides by - 3)

y = 2

solution is ( - 1, 2)