What is the solution of the equation 10z − 6 = 24 solving for z?(1 point)

Responses

1.8
1.8

3
3

0.4
0.4

−3

1 answer

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

  1. Add 6 to both sides of the equation:

    \[ 10z - 6 + 6 = 24 + 6 \]

    This simplifies to:

    \[ 10z = 30 \]

  2. Now, divide both sides by 10:

    \[ z = \frac{30}{10} \]

    This simplifies to:

    \[ z = 3 \]

Thus, the solution to the equation is \( z = 3 \). The correct response is:

3