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Otrada [13]
2 years ago
6

Simplify this algebraic equation: 3y - 7(5x + 2y)

Mathematics
1 answer:
Taya2010 [7]2 years ago
8 0

Answer: -11y - 35x

Step-by-step explanation:

This problem utilizes the Distributive Property of Multiplication.  It states that: a(x + y) = ax + ay.

Thus, utilizing this property (distributing -7), change the equation into:

3y - 35x - 14y

Then, simply combine like terms to get:

-11y - 35x

Hope it helps :) and let me know if you want me to elaborate.

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The graphs show the amounts in two different bank accounts over several months.
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2 years ago
Linda is 12 years younger than her sister Laura. Together their total age is 18. How old is Linda? How old is Laura?
geniusboy [140]

Answer:

Linda: 3 ; Laura: 15

Step-by-step explanation:

Note that Linda + Laura's age is 18, and that Linda is 12 years younger than her sister.

Let "Linda" = x , "Laura" = y:

x + y = 18

x = y - 12

First, plug in y - 12 for x in the first equation:

(y - 12) + y = 18

Simplify.

2y - 12 = 18

Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First add, then divide.

2y - 12 (+12) = 18 (+12)

2y = 18 + 12

2y = 30

(2y)/2 = (30)/2

y = 30/2

y = 15

Next, plug in 15 for y in the second equation (the other equation would work too).

x = y - 12

x = (15) - 12

x = 3

Linda's age is 3, Laura's age is 15.

~

7 0
2 years ago
Westley and Buttercup are each saving money. Westley starts with $85 in in his savings and add $5 per week (y=85+5x)
love history [14]

Answer:

After 5 weeks.

Step-by-step explanation:

Westley starts with $85 and saves $5 per week. So:

y=85+5x

Buttercup starts with $10 and saves $20 per week. So:

y=10+20x

When they have the same amount of money, the two equations will be equal to each other. Therefore:

85+5x=10+20x

Solve for x. Subtract 10 from both sides:

75+5x=20x

Subtract 5x from both sides:

75=15x

Divide both sides by 15:

x=5

Westley and Buttercup will have the same amount of money after 5 weeks.

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2 years ago
0.9a - 2.3b =<br> Help me outtt :(
Romashka [77]
The answer is 1/10 x (9a-23b)
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2 years ago
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