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AysviL [449]
3 years ago
12

What is the solution(s) to the equation 5a2 - 44 = 81?

Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer:

B

Step-by-step explanation:

5a^2 - 44 = 81                     Add 44 to both sides

5a^2 = 81 + 44                    Collect like terms

5a^2 = 125                          Divide both sides by 5

a^2 = 125/5                  

a^2 = 25                              Take the square root of both sides

√a^2 = √25

a = +5

a = -5

The answer is B

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At one store, 5 pairs of jeans and 2 sweatshirts costs $207, while 3 pairs of jeans and 4 sweatshirts costs $169. Find the cost
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Answer:

One pair of jeans cost $35.

One sweatshirt cost $16.

Step-by-step explanation:

j = jeans

s = sweatshirts

5j + 2s = $207

3j + 4s = $169

System of equations. You now must choose to either cancel out "j" or "s".

I'm going to cancel out the "s".

In order to cancel out the "s" you must make the number in front of each s the same number, but opposite. Meaning one is negative, and the other is positive.

2s and 4s. You can get 2 to 4 by multiplying by 2. And you want it to be negative. So you'll be multiplying the ENTIRE top equation by -2.

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-2 x 207 = -414.

Rewrite the equation.

-10j - 4s = -414.

3j + 4s = 169.

You can now cancel out the "s"'s by adding them together. -4 + 4 = 0.

Now, you must add the other numbers, both "j"s and both of the totals.

-10j + 3j = -7j.

-414 + 169 = -245.

Put those numbers back into the equation..

-7j = - 245.

Divide both sides by -7 to get j by itself.

j = 35; each pair of jeans is worth $35.

Now, solve for "s" by plugging the value of j (35) into either of the ORGINAL equations. (5j + 2s = $207  OR 3j + 4s = $169)

5j + 2s = 207.

5(35) + 2s = 207.

175 + 2s = 207

Subtract 175 from both sides.

2s = 32

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s = 16; each sweatshirt costs $16.

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