Solve the system for (y) x+5y = -4; - x+5y=-16

x - 5y = - 4 (equ ... 1)

-x + 5y=-16 (equ ... 2)

From equ ... 1

x = - 4 + 5y (equ ... 3)

Substitute equ ... 3 into equ ... 2

-4 + 5y + 5y=-16

-4 + 10y=-16

Collect like terms

10y=-16 + 4

10y=-12

Divide both side by 10

y = - 12/10 or - 1.2

Substitute y = - 1.2

x=-4 + 5y

x=-4 + 5 (-1.2)

x=-4 - 6

x = - 10

Hence, x = - 10, y=-1.2 or-12/10