What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29

a.
x = 8, y = 4

b.
x = 6, y = 6

c.
x = 7, y = 5

d.
x = 9, y = 3

C

Step-by-step explanation:

Given the 2 equations

x = 12 - y → (1)

2x + 3y = 29 → (2)

Substitute x = 12 - y into (2)

2(12 - y) + 3y = 29 ← distribute and simplify left side

24 - 2y + 3y = 29

24 + y = 29 ( subtract 24 from both sides )

y = 5

Substitute y = 5 into (1)

x = 12 - 5 = 7

Solution is x = 7, y = 5 → C

answer: it's a

step-by-step explanation:

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere