Question

Please help........................

Answer 1

Answer:

x = 7

Step-by-step explanation:

Since BD is the angle bisector of ∠ABC, then

∠ABD = ∠CBD, that is

2x + y = 14 + y ( subtract y from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Answer 2

Answer: x = 7, y = 2

Step-by-step explanation:

Since BD is an angle bisector, it cuts the angle into two congruent (equal) angles.

∠ABD ≅ ∠CBD

2x + y = 14 + y

2x       = 14               subtracted y from both sides

 x       =   7               divided both sides by 2

Bonus: Let's solve for y

 AD   =   CD

5x - y = x + 13y

5(7) - y = (7) + 13y

35  -  y = 7 + 13y

28  -  y =       13y       subtracted 7 from both sides

28        =       14y       added y to both sides

2         =          y        divided both sides by 14