Question

How do you solve $y=hx+f$ to solve the equation for $h$ ?

Answer 1

Hint: For answering this question we need to solve the given equation $y=hx+f$ for getting the equation for $h$. For that we need to use basic arithmetic simplifications like addition and transformations like shifting from right hand side to left hand side and reduce it.

Complete step by step answer:
Now considering from the question we have been asked to solve the given equation $y=hx+f$ for getting the equation for $h$.
For doing that we need to use basic arithmetic simplifications like addition and transformations like shifting from right hand side to left hand side and reduce it.
Here we will shift all the terms except the term involving $h$ in it to one side and keep that respective term in one side. For that here we will shift $f$ from right hand to left hand side. After doing that we will have
$\Rightarrow y-f=hx$ .
Now as we need the value of $h$ we will divide the whole equation that is we will divide the both sides of the equation with $x$ . After performing this basic simple arithmetic division we will have
$\Rightarrow \dfrac{y-f}{x}=h$ .

Therefore we can conclude that the equation of $h$ obtained from the given equation $y=hx+f$ is $\dfrac{y-f}{x}$

Note: We should be sure with the simple arithmetic calculations we make to simplify the equations in questions of this type. This type of questions are very easy and do not require much calculations so the possibility of mistakes in questions of this type are very less. Similarly we can solve any other equations like for the equation ${{x}^{2}}=200+{{y}^{2}}$ the value of $y$ will be given as $y=\sqrt{{{x}^{2}}-200}$ .