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

13

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

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation:

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers