Hello again! I've got two questions I'm stuck on in an algebra worksheet.

1. Solve the equation:
2𝑦 + 5 = 1/2(4𝑦 + 8)
(I really don't know how to solve these correctly, I've tried everything.)

2. The density of an
object is calculated using
the formula 𝐷 = m/v, where
m is the object’s mass and
v is its volume. Gold has a
density of 19.3 g/cm3. What is the volume of an
amount of gold that has a
mass of 96.5 g?
(Please help me work this out!)

2 answers

2𝑦 + 5 = 1/2(4𝑦 + 8)
multiply both sides by 2
4y + 10 = 4y + 8
10 = 8,

ahhh, I see your problem, the y's dropped out

ok, if your variables drop out, and you end up with a false statement, such as our 10=8,
then the equation has no solution.
If we end up with a true statement after the variable drops out, then you are dealing with an identity, and there would be an infinite number of solutions.
I see now, no wonder I couldn't get it! Thank you for helping me understand. Anything for question 2?