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iogann1982 [59]
3 years ago
12

Please help!!

Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0

Answer:

x = - 3

y = - 2

Step-by-step explanation:

Start with the second equation. Switch

3y = 2x               Divide by 3

3y/3 = 2x/3

y = 2x/3

Now go to the first equation. Put the value for y in the first equation.

x - 3(2x/3) = 3      Cancel the 3s on the left.

x - 2x = 3              Combine

-x = 3                    Multiply by -1

-1(-x) = 3(-1)

x = - 3

Now go back to the original equation I have called the second equation

2x = 3y

2(-3) = 3y                  Put in - 3 for x

- 6 = 3y                     Divide by 3

-6 / 3 = y

y = - 2


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Im desperate like most of my question-
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<h3>Answer: 9.75 dollars</h3>

===========================================================

Explanation:

There are two ways to solve this problem.

Method 1:

35% = 35/100 = 0.35

35% of 15 = 0.35*15 = 5.25

So you save $5.25, which is the discount amount.

The sale price is 15 - 5.25 = 9.75 dollars

---------------

Method 2:

If you save 35%, then you still need to pay the remaining 65%

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The sale price is 65% of original price

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Extra info (optional section)

The benefit of method 2 is that we can chain multiple discounts together. Consider that on top of the 35% discount, the store then decides that members (people who pay monthly) will get an extra 10% off. The natural thinking is that the total discount is 35%+10% = 45% off, but that's not correct.

We can see this if we say that the original price is say $100 and 35% off would lead to a price of 0.65*100 = 65 dollars. Then an extra 10% off means we pay 90% of that new price (65 dollars) to get 0.90*65 = 58.50

As a shortcut, we can just multiply the values of 0.65*0.90 = 0.585

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Since the item was $100 but now it's 58.50, this means we saved 100-58.50 = 41.50 dollars. The discount is therefore 41.50/100 = 41.50% which is close to the 45% calculated earlier, but not quite there.

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