Question

If `z=6z+5` then `z=?`

i dont know how to solve this. Anybody can teach me in a specific way? tq so much.

Answer 1

`z=-1`

Explanation:

`"collect terms in "z" on one side of the equation and "`
`"numeric values on the other side"`

`"subtract "6z" from both sides"`

`z-6z=5`

`-5z=5`

`"divide both sides by "-5`

`(cancel(-5) z)/cancel(-5)=5/(-5)rArrz=-1`

Answer 2

`z=-1`

Explanation:

The key is that we want our `z` terms on one side, and the numbers (constants) on the other side.

Let's subtract `6z` from both sides. It is important to do the same thing from both sides to maintain the equality. We get

`-5z=5`

Next, we can do the inverse of multiplication, which is division. Let's divide both sides by `-5` to get

`z=-1`

Hope this helps!