Question

Solve each equation for k.

6k-2z=12

Answer 1

`\sf{k=2+(1)/(3)z}`

Step-by-step explanation:

Our equation is

`\sf{6k-2z=12}`

We need to solve it for k. So I am going to start by adding 2z on each side:

`\sf{6k=12+2z}`

Then, I'll divide each term by 6:

`\sf{k=(12)/(6)+(2z)/(6)}`

`\sf{k=2+(1)/(3)z}`

Hence, this is the equation.

Answer 2

`k=(6+z)/(3)`

Step-by-step explanation:

Pre-Solving

We are given the following equation:

6k - 2z = 12

We want to solve it for k.

To do that, we need to isolate the variable on one side.

Solving

6k - 2z = 12

To start, add 2z to both sides.

6k - 2z = 12

+2z +2z

______________

6k = 12 + 2z

now, divide by 6 on both sides. When dividing on the left, we're dividing the entire expression by 6.

6k = (12 + 2z)

÷6 ÷6

______________

`k=(12+2z)/(6)`

This can be simplified to become:

`k=(6+z)/(3)`