Question

17 = 5 k - 2

Answer 1

Answer:

$\boxed{k=\frac{19}{5},~3\frac{4}{5},~3.8}$

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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