Answer:
Ivy is 6 years old and Rose is 12 years old.
Step-by-step explanation:
To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.
Ivy's age will be 
and Rose's age will be 
"Ivy is half as old as her sister":

this will be our <u>fist equation.</u>
"In six years, Ivy will be two-thirds as old as Rose"
in six years Ivy will have
years, and Rose will have
years, so for this sentence we have the equation:

this will be our <u>second equation.</u>
Substituting the value of x from the first equation into the second, and solving for y(Rose):

Rose is 12 years old.
and Ivy (using the fist equation):

Ivy is 6 years old.
Answer:
5, 5, 5
Step-by-step explanation:
i saw it on quizlet
The answer would be 1/3. You have to work backwarda for this problem. You start off by subtracting 5/4 - 3/4 =2/4 which simplifies to 1/2. Then, you have to add 1/6. Using the greatest common denominator, you have 3/6 + 1/6=4/6 which simplifies to 2/3.