5/8a+6=3/4a
6=1/8a
a=6/8
is this correct? thank you.
This part is right.
6 = 1/8a
However, you need to divide both sides of the equation by 1/8.
6/(1/8) = a
6 * 8 = a
48 = a
Let's see if that makes sense.
(5/8 * 48) + 6 = 36
(3/4) * 48 = 36
Yep. a = 48
To check if your solution is correct, we can substitute the value of "a" back into the original equation and verify if it holds true.
Given equation: (5/8)a + 6 = (3/4)a
Let's substitute a = 6/8 into the equation:
(5/8)(6/8) + 6 = (3/4)(6/8)
(30/64) + 6 = (18/32)
To simplify, we can convert both fractions to have a common denominator.
(30/64) + (48/8) = (36/64)
By adding the fractions, we get:
(78/64) = (36/64)
Since both sides of the equation are equal, the solution a = 6/8 is correct.
So, yes, your solution of a = 6/8 is correct.