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yanalaym [24]
3 years ago
6

Dueling Discounts Information:

Mathematics
1 answer:
7nadin3 [17]3 years ago
4 0

The <em>20</em><em>%</em><em> </em><em>additional</em><em> </em><em>off</em><em> </em><em>sale</em><em> </em><em>items</em><em> </em>is a better deal on the bike as it offers a lesser price compared to the other coupon.

Original cost of bike = $230

First coupon:

  • $20 off
  • Discounted price of bike = $230 - $20 = $210

Second coupon :

  • 20% off sale
  • Discounted price = (100% - 20%) × $230 = $184

Comparing the discounted prices for each of the coupon ;

The second coupon offers a lesser discounted price on the bike.

Hence, 20% off sale is a better deal.

Learn more : brainly.com/question/18112348

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There are 3 ways of solving a simultaneous problem, substitution method, elimination method and Gauss-Jordan method. I'm gonna use the substitution method since it's easier and i think it would suit your level more.

First let's try solving for y since it's easier to start with.

Firstly we have to find an equation for x:

x-2y=2\\x-2y+2y=2+2y\\x=2+2y

Great, now we can use the substitution method to find the value of y using the first equation:

2x+3y=11\\2(2+2y)+3y=11\\4+4y+3y=11\\7y=7\\y=1

Now we know that y=1 we can solve the first equation we made:

x=2+2y\\x=2+2(1)\\x=4

And the answer is x=4 , y= 1\\(4,1)

Double check:

2x+3y=11\\2(4)+3(1)=11\\8+3=11\\11=11\\\\x-2y=2\\(4)-2(1)=2\\2=2

And that's our final answer! (4,1)

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if i helped please give brainliest and a thanks !!
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