Question

17 = 5 k - 2

k=?
I'm really in a hurry to figure out what K is, and if anyone really wants to do it, please tell me how to do it. Thank you.

Answer 1

`\boxed{k=(19)/(5),~3(4)/(5),~3.8}`

Solution Steps:

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1.) Swap sides so that all variable terms are on the left hand side:

• 
  `5k-2=17`

- This is an optional step. I prefer the numbers to be on the left hand side, but it's not necessary.

Equation at the end of Step 1:

• 
  `5k-2=17`

• 
  `17=5k-2`

2.) Add 2 to both sides:

• 
  `-2+2=` Cancels Out

• 
  `17+2=19`

- When solving problems like this, to get k alone you have to do the opposite of what you see.

- In this case, we have a -2. So to get rid of -2 we do the opposite: +2 on each side.

Equation at the end of Step 2:

• 
  `5k=19`

3.) Divide both sides by 5:

• 
  `5k` ÷
  `5=k`

• 
  `19` ÷
  `5=3.8`

- When solving problems like this, to get k alone you have to do the opposite of what you see.

- In this case, we have 5 being multiplied by k. So to get rid of the 5 we do the opposite: Divide by 5 on each side.

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