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3 years ago

3.3.31

Mathematics

2 answers:

Mrac [35]3 years ago

7 0

Answer:

Larger number = 6.

Smaller number = 2.

Step-by-step explanation:

Let the lower number be x then the other number = 8-x.

Also;

5(8 - x) + 4x = 38

40 - 5x + 4x = 38

-x = -2

x = 2 = lower number.

Larger number = 8 - 2 = 6.

NemiM [27]3 years ago

6 0

Answer:

6 and 2

Step-by-step explanation:

let the 2 numbers be x and y with x > y, then

x + y = 8 → (1)

5x + 4y = 38 → (2)

Rearrange (1) expressing x in terms of y by subtracting y from both sides

x = 8 - y → (3)

Substitute x = 8 - y into (2)

5(8 - y) + 4y = 38 ← distribute and simplify left side

40 - 5y + 4y = 38

40 - y = 38 ( subtract 40 from both sides )

- y = - 2 ( multiply both sides by - 1 )

y = 2

Substitute y = 2 into (3) for corresponding value of x

x = 8 - 2 = 6

The larger number is 6 and the smaller number is 2

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The given inequalities are $y\leq 2x-2$ and $y\leq x^{2} -3x$ .

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<h3>What is an example of a system of inequalities in real life?</h3>

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

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Both statements are true. Therefore (4,2) is a solution and option D is correct.

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

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