Solve the system by the substitution method.

x-2y = - 2

y = - 3x + 8

x-2y = - 2

x-2 (-3x+8) = -2

mutiply the bracket by - 2

(-2) (-3x) = 6x

(-2) (8) = -16

x+6x-16=-2

7x-16=-2

move - 16 to the other side

sign changes from - 16 to + 16

7x-16+16=-2+16

7x = - 2+16

7x = 14

divide both sides by 7

7x/7=14/7

x=2

Find y by using the substitution method

y=-3x+8

y=-3 (2) + 8

-6+8

=2

Answer: (2,2)