The first step for solving this problem is to multiply both sides of the bottom equation by -3.

Add the two equations together.
6x - 9y - 6x + 9y = 16 - 21
Eliminate the opposites.
-9y + 9y = 16 - 21
Remember that the sum of two opposites equals 0,, so the equation becomes the following:
0 = 16 - 21
Calculate the difference on the right side of the equation.
0 = -5
This means that the statement

is false for any value of x and y. That means that the answer to your question is (x,y) ∈ ∅,, or no solution.
Let me know if you have any further questions.
:)
The surface area of the trash can = 25.12 ft²
Solution:
The given image is splitted into two shapes.
One is Cylinder and the other is hemisphere.
Radius of the cylinder = 2 ÷ 2 = 1 ft
Height of the cylinder = 4 – 1 = 3 ft
Curved surface area of the cylinder = 

= 18.84 ft²
Curved surface area of the cylinder = 18.84 ft²
Curved surface area of the hemisphere = 

= 6.28 ft²
Curved surface area of the hemisphere = 6.28 ft²
Surface area of the trash = CSA of cylinder + CSA of hemisphere
= 18.84 ft² + 6.28 ft²
= 25.12 ft²
The surface area of the trash can = 25.12 ft²
The answer is A
Hope that helps