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3 years ago

Ifx + 2y = 8 and - 2x + 3y = 5, then what is the value of 2x + 3y?

Mathematics

1 answer:

Charra [1.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

Given the 2 equations

x + 2y = 8 → (1)

- 2x + 3y = 5 → (2)

Rearrange (1) expressing x in terms of y by subtracting 2y from both sides

x = 8 - 2y → (3)

Substitute x = 8 - 2y into (2)

- 2(8 - 2y) + 3y = 5 ← distribute and simplify left side

- 16 + 4y + 3y = 5

- 16 + 7y = 5 ( add 16 to both sides )

7y = 21 ( divide both sides by 7 )

y = 3

Substitute y = 3 in (3) for corresponding value of x

x = 8 - 2(3) = 8 - 6 = 2

Thus x = 2 and y = 3

2x + 3y = 2(2) + 3(3) = 4 + 9 = 13

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Pls help me with this <br>ans should be well explained

Snezhnost [94]

Let's observe

#1st column

3+2+1+4=10

10th alphabet=J

#2nd

5+9+4+6=24

24th alphabet=X

#3rd

2+1+3+3=9

9 th Alpha bet=I

#4th

8+4+9+5=26

26th Alphabet=Z

#5th

7+3+1+2=13

13 th alphabet=M

Option B is correct

5 0

3 years ago

When a spherical balloon is filled with air, it has a radius of 3 inches. Which of these gives the best estimate for the volume

marysya [2.9K]

By definition, the volume of a sphere is given by:
V = (4/3) * (pi) * (r ^ 3)
where,
r: radius of the sphere.
Substituting we have:
V = (4/3) * (pi) * ((3) ^ 3) = 113.08 in ^ 3
answer
the best estimate for the volume of air in the balloon in cubic inches is
C. 113.1

3 0

3 years ago

Read 2 more answers

Alejandro wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he likes: a male and fema

alexgriva [62]

Answer:

Hence the required probability is, 3/4

Step-by-step explanation:

At the shelter, he likes :

a male coolie, a female coolie, a male boxer, a female boxer, a male beagle, a female beagle, a male Labrador, and a female Labrador.

Let, A denote the event of selecting a male coolie and B denote the event of selecting a male Labrador.

P(A) = 1/8 = P(B)