The equivalent equation for the given equation m = ca is a = m/c. The equivalent equation does not change the actual function of the original equation.
What is an equivalent equation?
The equation that gives the same solution as the original equation is said to be an equivalent equation.
Isolating a variable from the given equation leads to its equivalent equation. There are as many variables in an equation, there will be the same number of equivalent equations we can write.
Calculation:
Given that,
m = ca
Here m, c, and a are the three variables in the given equation.
We can write the equation into two more forms as follows:
W.r.t variable 'c',
m = ca
dividing both sides by 'a'
⇒ ca/a = m/a
∴ c = m/a
W.r.t variable 'a',
m = ca
dividing both sides by 'c'
⇒ ca/c = m/c
∴ a = m/c
Therefore, option B is correct. I.e., a = m/c is an equivalent equation for m = ca.
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