PLEASE HELP! I have the steps down and an answer..just need the correct one.
6/8 = 8/y - 1/2
The LCM here is 8y, so I multiply on both sides by 8y.
8y times 6/8 = 8y times 8/y - 8y times 1/2.
After canceling out, I have 6y = 64 - 4y. Combine like terms.
2y = 64; y = 32?
Thank you!
No, when you combine like terms, you erred.
6y=64-2y
add 2y to each side.
8y=64
Ah! I see. Thank you!
To solve the equation 6/8 = 8/y - 1/2, you did the following steps:
1. Recognize that the least common multiple (LCM) of 8 and y is 8y.
2. Multiply both sides of the equation by 8y to eliminate the denominators.
(8y * 6/8 = 8y * 8/y - 8y * 1/2)
This gives you: 6y = 64 - 4y.
3. Combine like terms on the right side of the equation.
(6y = 60 - 4y)
4. Simplify the equation further.
(6y + 4y = 60)
This yields: 10y = 60.
5. Divide both sides of the equation by 10 to isolate y.
(y = 6).
So, the correct answer is y = 6, not y = 32.