Ill give brainliest to the correct/best explanation!
(question in picture)

A and E

Step-by-step explanation:

Example of no solution is 3=5

A) x+5 = x-5

minus five from both sides, x=x-10

minus x from both sides 0=-10 ,This is no solution since 0 does not equal -10

B) 0.5y=0

Divide 0.5 from both sides y=0 , this is not no solution

C) x-7=x-7

add seven to each side x=x+0

minus x from each side 0=0 , which is infinite solutions

D) 9(-1+x)+1=12x+1

Distribute 9 to the numbers in the parenthesis -9+9x+1=12x+1

Add the constants together (-9+1 and then minus one from each side) -9+9x=12x

Minus 9x from each side -9=3x, then divide 3 from each side -3=x, this has a solution.

E) 8+4f=4(3+f)

Distribute 4(3+f) 8+4f=12+4f

Minus 4f from each side 8=12, This is no solution since 8 does not equal 12