Question

How do you solve for ’y’ in \[hy = m\]?

Answer 1

Hint: Here we have a simple equation containing three variables (unknown values) that we need to solve for ‘y’ in \[hy = m\]. We can solve for ‘h’ in \[hy = m\]. We can solve this by the transpose method. That is the common transposition method is to do the same thing (mathematically) to both sides of the equation, with the aim of bringing like terms together and isolating the variable (or the unknown quantity).

Complete step-by-step answer:
Given, \[hy = m\]
We transpose ‘h’ to the right hand side of the equation by dividing ‘h’ on the right hand side of the equation.
\[ \Rightarrow y = \dfrac{m}{h}\]
If we know the values of ‘m’ and ‘h’ we can find the value of ‘y’.
Additional information:
Suppose if they ask us to solve for ‘h’ in \[hy = m\].
We transpose ‘y’ to the right hand side of the equation by dividing ‘y’ on the right hand side of the equation.
\[ \Rightarrow h = \dfrac{m}{y}\]
If we know the values of ‘m’ and ‘y’ we can find the value of ‘h’.
Suppose if they ask us to solve for ‘m’ in \[hy = m\].
Rearranging we have ,
\[ \Rightarrow m = hy\]
If we know the values of ‘h’ and ‘y’ we can find the value of ‘m’.
So, the correct answer is “\[ h = \dfrac{m}{y}\]”.

Note: If we want to transpose a positive number to the other side of the equation we subtract the same number on that side (vice versa). Similarly if we have multiplication we use division to transpose. If we have division we use multiplication to transpose.