Answer:
x = 3
y = 6
Step-by-step explanation:
Apply the angle bisector theorem to find both variables.
Based on the theorem, we would have the following:
✔️x/2 = 6/4
Cross multiply
x*4 = 6*2
4x = 12
4x/4 = 12/4
✔️9/y = 3/(8 - y)
9(8 - y) = 3*y
72 - 9y = 3y
72 = 3y + 9y
72 = 12y
72/12 = 12y/12
6 = y
First answer:
-16y=-19x+12
16y=19x-12
y=19/16x-3/4
Second answer:
8y=-15x-9
y=-15/8x-9/8