Question

What is the value of a if va- vh is equals to 1

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Answer 1

`\displaystyle a = (1+vh)/(v)`

Explanation:

we want to figure out a value of a for the following condition

`\displaystyle va - vh = 1`

to do so factor out v;

`\displaystyle v (a - h )= 1`

divide both sides by v which yields:

`\displaystyle \frac{(a-h) \cancel{(v)}}{ \cancel{v}}= (1)/(v)`

therefore,

`\displaystyle a-h = { (1)/(v)}`

now,add h to both sides:

`\displaystyle a = (1)/(v)+h`

further simplification if necessary:

`\displaystyle a =\boxed{ (1+vh)/(v)}`

Answer 2

Given:-

• 
  `\sf{va-vh=1 }`

To find:-

• 
  `\sf{ value~ of ~a }`

Solution:-

• 
  `\sf{ va-vh=1 }`

factor out of v

• 
  `\sf{v(a-h)=1 }`

Dividing both sides by (v)

• 
  `\sf{(v(a-h))/((v))=(1)/((v)) }`

cancel out (v)

• 
  `\sf{\frac{\cancel{v}(a-h)}{\cancel{(v)}}=(1)/((v)) }`

• 
  `\sf{ a-h=(1)/(v) }`

add h in both sides

• 
  `\sf{a-h+h=(1)/(v)+h }`

cancelout h

• 
  `\sf{a-\cancel{h}+\cancel{h}=(1)/(v)+h }`

• 
  `\sf{a=(1)/(v)+h }`

• 
  `\boxed{\sf{a=(1+vh)/(v) } }`

`\sf{ }`
`\sf{ }`

Therefore:-

the value of a if va- vh is equals to 1 is
`\bold{(1+vh)/(v) }`