What is the solution of the equation 10z − 6 = 24

Question

solving for z
?(1 point)
Responses

0.4
0.4

3
3

−3
negative 3

1.8

Answer 1

To solve the equation \( 10z - 6 = 24 \) for \( z \), follow these steps:

1. Add 6 to both sides of the equation: \[ 10z - 6 + 6 = 24 + 6 \] \[ 10z = 30 \]

2. Now, divide both sides by 10: \[ z = \frac{30}{10} \] \[ z = 3 \]

The solution is \( z = 3 \).

So, the correct response is 3.