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Ganezh [65]
2 years ago
15

Find the solution of the system of equations. -10x-y=27 -4x-y=9

Mathematics
2 answers:
AlekseyPX2 years ago
6 0

Answer:

x=−1/10 y+ −27/10

x=−1/4 y+ −9/4

Step-by-step explanation:

−10x−y=27

Step 1: Add y to both sides.

−10x−y+y=27+y

−10x=y+27

Step 2: Divide both sides by -10.

−10x /−10= y+27 /−10

x=−1/10 y+ −27 /10

−4x−y=9

Step 1: Add y to both sides.

−4x−y+y=9+y

−4x=y+9

Step 2: Divide both sides by -4.

−4x /−4= y + 9/−4

x= −1/4 y + -9/4

bogdanovich [222]2 years ago
4 0

Answer:

(-3,3)

Step-by-step explanation:

y=3

x=−3

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Step-by-step explanation:

-x²+6x-1+3x²-4x-1 can be found by combining like terms.

2x²+2x-2

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Answers:

  1. Choice B) y = (1/4)x
  2. The unit rate is <u>  3.89  </u> dollars per pound. It costs <u>  23.34  </u> dollars for a turkey that weighs 6 pounds.

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

Explanations:

  1. Direct proportional equations are always in the form y = kx, where k is some constant. In the case of choice B, we have k = 1/4. Visually, direct proportion equations are always straight lines and go through the origin.
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The product of two consecutive odd integers is 782. What are the integers?
Alex Ar [27]

Call the smaller of the two odds = n

Call the next number in the sequence = n + 2

n*(n +2) = 782           Remove the brackets.

n^2 + 2n = 782          Subract 782 from both sides.

n^2 + 2n - 782 = 0    We are going to have to factor this.

Discussion

This problem can't be done the way it is written. The product of an odd integer with another odd integer is and odd integer. There are no exceptions to this. So you need to give a number that has two factors very near it's square root for this question to work.

For example, you could use 783, (which factors) instead of 782 .

Solve

n^2 + 2n - 783 = 0

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<u>Solution One</u>

n - 27 = 0

n = 27

The two odd consecutive integers are 27 and 29.

<u>Solution Two</u>

n + 29 = 0

n = - 29

The two solution integers are -29 and - 27 Notice that - 29 is smaller than - 27.

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