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

Question

10
𝑧

−

6

=

24
solving for z
𝑧
?(1 point)
Responses

3
3

−3
−
3
negative 3

0.4
0.4

1.8
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: \[ 10z - 6 + 6 = 24 + 6 \] This simplifies to: \[ 10z = 30 \]

2. Next, divide both sides by 10: \[ z = \frac{30}{10} \] This simplifies to: \[ z = 3 \]

So, the solution for \(z\) is \(3\).