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:
(-26, 32)
Step-by-step explanation:
If you know the rugs sell for 8$ per square foot and the total spend was $432. You divide 432 by 8 to find the total number of square foot of the rug. Which is 54. To find total square foot you find the area. So the area of a rectangle is L*W. So 54 = 9*width. So just divide 54 by 9 and you get the width of the rug. The width is 6 foot. Now you check. A nine by 6 rugs square foot is 54. and then times by 8 and you get 432 total. So you know the rug is 6 foot wide. :)
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➷ Divide the price by 12 to find the price:
12.96 / 12 = 1.08
The sport socks cost $1.08 each.
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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