How many solutions can be found for the equation 4z + 2(z − 4) = 3z + 11?

None

Question

How many solutions can be found for the equation 4z + 2(z − 4) = 3z + 11?

None <-- I think this one
 One <-- or maybe this one
 Two
 Infinitely many

RawlsK29 · Answer

@Warriorz13 @Shadow

Shadow · Answer

$$4z + 2 (z - 4) = 3z + 11$$
Distributive Property
$$4z + 2z - 8 = 3z + 11$$
Like terms
$$6z - 8 = 3z + 11$$
Add 8 to both sides
Subtract 3z from both sides
$$3z = 19$$
$$x = \frac{ 19 }{ 3 }$$

Shadow · Answer

What does that look like to you? :)

RawlsK29 · Answer

Umm... one solution?

Shadow · Answer

Yes.

Two solutions would be if we had plus or minus some number
Infinite solutions would look like 3=3 or x = x
No solutions would look like 3 = 5

RawlsK29 · Answer

Oh okay, thank you!😎