The correct equations for finding the weight of blueberries Lacey has are x - 1 4/5 = 1/5 x and 1/5 x = x - 1 4/5.
There are two equations that could be used to find the weight of blueberries Lacey has:
x - 1 4/5 = 1/5 x: This equation represents the fact that if Lacey picks 1 4/5 pounds more blueberries, she will have equal weights of berries.
1/5 x = x - 1 4/5: This equation rearranges the first equation to solve for the weight of blueberries.
The other equations are not correct:
1/5 x - 1 4/5 = x: This equation adds 1 4/5 to both sides of the first equation, which is not a valid mathematical operation.
x - 1 4/5 = 1/5 x: This equation is the same as the first equation and therefore does not provide any new information.
1/5 x = x - 1 4/5: This equation is the same as the second equation and therefore does not provide any new information.
x + 1 4/5 = 1/5 x - 1 4/5: This equation adds 1 4/5 and then subtracts 1 4/5 to both sides of the first equation, which is not a valid mathematical operation.
1/5 x + 1 4/5 = x: This equation adds 1 4/5 to both sides of the second equation, which is not a valid mathematical operation.
x = 1 4/5 (1/5 + x): This equation is not a valid way to solve for the weight of blueberries.