Respuesta :
Answer:
[tex]\boxed{k=\frac{19}{5},~3\frac{4}{5},~3.8}[/tex]
Solution Steps:
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1.) Swap sides so that all variable terms are on the left hand side:
- [tex]5k-2=17[/tex]
- 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:
- [tex]5k-2=17[/tex]
- [tex]17=5k-2[/tex]
2.) Add 2 to both sides:
- [tex]-2+2=[/tex] Cancels Out
- [tex]17+2=19[/tex]
- 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:
- [tex]5k=19[/tex]
3.) Divide both sides by 5:
- [tex]5k[/tex] ÷ [tex]5=k[/tex]
- [tex]19[/tex] ÷ [tex]5=3.8[/tex]
- 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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