Question

Which of the following equations is equivalent to 4/5a - 8 = 1/5?

Answer 1

`\huge\boxed{a=(41)/(4)=10(1)/(4)=10.25}`

Explanation:

`(4)/(5)a-8=(1)/(5)\qquad\text{multiply both sides by 5}\\\\5\!\!\!\!\diagup\cdot(4)/(5\!\!\!\!\diagup)a-(5)(8)=5\!\!\!\!\diagup\cdot(1)/(5\!\!\!\!\diagup)\\\\4a-40=1\qquad\text{add 40 to both sides}\\\\4a-40+40=1+40\\\\4a=41\qquad\text{divide both sides by 4}\\\\(4a)/(4)=(41)/(4)\\\\a=10.25`

Answer 2

a = 10 1/4

Explanation:

So with the following equation,

4/5a - 8 = 1/5,

we need to use the commutative property.

Which is the moving of whole numbers or variables.

So we add 8 to both sides.

4/5a = 41/5

Divide 4/5 by both sides

a = 10 1/4

So on of the equations could look like a = 10 1/4

Thus,

a = 10 1/4 could be one of the equations given which are equal to 4/5a - 8 = 1/5.

Hope this helps :)