Question

Solve the following equation for the variable indicated
15 = Зn + 6р, for n

Answer 1

Solving the equation
`15 = 3n + 6p` for variable n we get
`\mathbf{n=5-2p}`

Explanation:

We need to solve the equation
`15 = 3n + 6p` for variable n

Solving:

`15 = 3n + 6p`

Subtract both sides by 6p

`15-6p = 3n +6p -6p\\15-6p=3n`

Switch sides of equality

`3n=15-6p`

Divide both sides by 3

`(3n)/(3) =(15-6p)/(3)\\n=(3(5-2p))/(3)\\n=5-2p`

So, solving the equation
`15 = 3n + 6p` for variable n we get
`\mathbf{n=5-2p}`