Question

V=bnj solve for b
this is in algebra 2

Answer 1

The solution is
`b=(v)/(nj)`

Explanation:

To solve an equation for a variable, state this variable with coefficient 1 on the left side and all the other terms on the right side

Ex: 2x + 6y = 10, solve for x

• Subtract 6y from both sides to move it to the right side

• 2x + 6y - 6y = 10 - 6y

• 2x = 10 - 6y

• Divide each term on both sides by 2 to make the coefficient of x = 1

• 
  `(2x)/(2)=(10)/(2)-(6y)/(2)`

• x = 5 - 3y

Let us use the same way to solve the given equation for b

∵ v = bnj

→ Switch the two sides to put b on the left sides

∴ bnj = v

∵ n and j multiplied by b

→ Divide both sides by nj to move them from the left side to the right side

∴
`(bnj)/(nj)=(v)/(nj)`

∴
`b=(v)/(nj)`

The solution is
`b=(v)/(nj)`