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Temka [501]
3 years ago
14

What are the solutions to the system of equations? y=x2−5x−6 y=2x−6

Mathematics
2 answers:
Leya [2.2K]3 years ago
4 0

Answer:

I graphed both equations to find the solutions.

Step-by-step explanation:

When x is 0, y is -6. When x is 7, y is 8.

x = 0 and 7

allsm [11]3 years ago
4 0

Answer: The solutions are

(0, - 6)

(7, 8)

Step-by-step explanation:

The given system of equations is expressed as

y = x² - 5x - 6- - - - - - - - - - - - 1

y = 2x - 6- - - - - - - - - - - 2

We would apply the method of substitution by substituting equation 2 into equation 1. It becomes

x² - 5x - 6 = 2x - 6

x² - 5x - 6 = 2x - 6

x² - 5x - 2x - 6 + 6 = 0

x² - 7x = 0

x(x - 7) = 0

x = 0 or x - 7 = 0

x = 7 or x = 0

Substituting x = 0 into equation 2, it becomes

y = 2 × 0 - 6

y = - 6

Substituting x = 7 into equation 2, it becomes

y = 2 × 7 - 6

y = 14 - 6

y = 8

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Answer:

The number of plums = 4

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Step-by-step explanation:

Let the number of peaches be = x

Let the number of nectarines be = y

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A box of fruit has four times more peaches than plums. This means that

The number of peaches = 4 X the number of plums.

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The box has 3 fewer nectarines than plums. This means that

Number of nectarines = number of plums - 3

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If the box contains 21 pieces of fruit, this means that if we sum up all the peaches, nectarines, and plums in the box, we will get 21.

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6z =21 +3

z = 24/6

z = 4

Therefore, the number of plums = 4

The number of peaches = 4 X 4 = 16

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Step-by-step explanation:

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