We know that Step 1 is correct, because it is just a restatement of the equation. Therefore, we can eliminate Step 1:
2(5y – 2) = 12 + 6y
In Step 2, the student tried using the Distributive Property. The Distributive Property can be written as one of the two following formulas:
a(b + c) = ab + ac
a(b – c) = ab – ac
In this case, we'll use the second formula. Substitute any known values into the equation above and simplify:
2(5y – 2) = 2(5y) – 2(2)
2(5y – 2) = 10y – 4
In Step 2, the student calculated 2(5y – 2) to equal 7y – 4. However, we have just proven that 2(5y – 2) is equal to 10y – 4.
The student first made an error in Step 2, and the correct step is:
Step 2: 10y – 4 = 12 + 6y
I hope this helps!
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Answer:
Levi is 53 yrs now
Step-by-step explanation:
sum = 76yrs
Levi = 3x -8
Monique = x - 8
8yrs ago
sum= 76 - 8 - 8( the two 8s are from each of the two brothers).
= 60yrs
Levi=3x
Monique=x
3x + x = 60
4x = 60
x = 15yrs
Levi = 3x
= 15 x 3
= 45 yrs(8yrs ago)
now = 45 + 8
= 53yrs now
Monique = x
= 15
now = 15 + 8
23yrs now
3/8=9/24 and 1/6=4/24
9/24+4/24=13/24
Paula spent 13/24 of her allowance on other items.
Answer:
L.C.M of 15 and 30 is 30.