What is the y-value in the solution to this system of linear equations?

4x + 5y = - 12

-2x + 3y = - 1

x = - 31/22, y = - 14/11

Step-by-step explanation:

4x + 5y = - 12 ... (1)

-2x + 3y = - 1 ... (2)

multiply equation (2) by 2

-4x + 6y = - 2 ... (3)

solving equation (1) and (3) by elimination method, we add equations (1) and (3)

11y = - 14

y = - 14/11

substitute y = - 14/11 for the value of x in equation (2)

-2x + 3 (-14/11) = - 1

-2x = 42/11 - 1 = 31/11

x = - 31/22