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gogolik [260]
3 years ago
12

Combine like terms to simplify the expression below: 14x - (2x -y) -y STEP BY STEP PLEASE

Mathematics
2 answers:
dimulka [17.4K]3 years ago
8 0
14x - (2x - y) - y
14x + (-1(2x - y)) - y
14x + (-1(2x) - 1(-y)) - y
14x + (-2x + y) - y
14x + 1(-2x + y) - y
14x + 1(-2x) + 1(y) - y
14x - 2x + y - y
14x - 2x
12x
irina1246 [14]3 years ago
3 0


14x-(2x-y)-y

First you must distribute through the negative in front of the parenthesis means the same as

14x- 1(2x-y)-y

so you must multiply 2x and -y by -1

-1* 2x= -2x

-1* -y= y ( two negatives equal a positive)

Now: 14x-2x+y-y (the y's cancel leaving-)

14x-2x

You're answer is 12x


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Answer:

E.

Step-by-step explanation:

The main information we need to focus on is:

  1. how much the tickets cost
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What we know so far is that Gina wants to know how much will it cost for her and her friends to go to the water park.

So to answer those questions above is that we need to buy 5 tickets, each ticket cost 15 dollars EACH! And that "w" represent the total amount of the tickets being purchased!

Would it make sense to do 5 tickets times the cost of tickets? Yes? No? How about we check?

5 tickets times 15 dollars = 75 dollars in total.

What does that look like in an equation though? We now that 5 is number of people, 15 is the price of each ticket, and again w is the total cost.

5 × 15 = w  So the answer is E.

If you wonder why the other answers don't work let check them:

A? w5=15, doesn't make sense because w is the total cost and then you have 5 tickets which equal to 15. Which is wrong.

B? w= 15+5, we aren't adding the the tickets and amount of people to get the total cost!

C? 5= 5 × w, doesn't make sense because you are multiple the total cost with the amount of people wanting tickets

And finally D? The same thing with choice A. Except now "w" or the total cost would be multiplied with how much a single ticket would cost.

I hope I helped in any way, if you don't understand or still confused, don't be afraid to comment or even ask a question. I hope you have a great day! :D

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