-4x -2y = -12
4x + 8y = -24

x = 6, y = -6

Step-by-step explanation:

After adding the equations together, the 4x and -4x cancel each other out. This makes our new equation:

6y = -36

Divide both sides by 6

y = -6

Plug -6 into y in one of the equations

4x + 8y = -24   =

4x + 8(-6) = -24   =

4x - 48 = -24

Add 48 to both sides

4x = 24

Divide both sides by 4

x = 6

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)