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2z+ 1 =z What value of z satisfies the...

2z+ 1 =z
What value of z satisfies the equation above?

A

`-2`

B

`-1`

C

`1/2`

D

1

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \(2z + 1 = z\), we will follow these steps: 1. **Write down the equation**: \[ 2z + 1 = z \] 2. **Rearrange the equation**: To isolate \(z\), we can subtract \(z\) from both sides of the equation. This gives us: \[ 2z - z + 1 = 0 \] 3. **Simplify the equation**: Now, simplify the left side: \[ z + 1 = 0 \] 4. **Isolate \(z\)**: Next, we will subtract 1 from both sides to solve for \(z\): \[ z = -1 \] Thus, the value of \(z\) that satisfies the equation is: \[ \boxed{-1} \]
To solve the equation \(2z + 1 = z\), we will follow these steps: 1. **Write down the equation**: \[ 2z + 1 = z \] 2. **Rearrange the equation**: ...
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