Acertain hereditary disease can be passed from a mother to her children. given that the mother has the disease, her children independently will have it with probability 1/2. given that she doesn’t have the disease, her children won’t have it either. a certain mother, who has probability 1/3 of having the disease, has two children.

c) yes, because of asa or aas

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal