Question

How do you solve for $c$ in $a + b + c = P?$

Answer 1

Hint: As we know that we can solve the above equation by transposition method which is nothing but addition, subtraction, multiplication or by dividing with certain numbers on both left and right hand side to find the required unknown variable. This is called the transposition method and it can be used to solve different kinds of linear equations.

Complete step by step answer:
As per the given question we have an equation $a + b + c = P$, and we have to find for $c$. So in the transposition method when we move a term or transpose it to the other side of the equation then its operation i.e. sign changes to the inverse operation. This keeps the linear equation balanced.

Let us transpose the equation now: $a + b + c = P$. We can see that in this equation the operation of $a$is $' + '$ i.e. addition. Therefore we will transpose $a$ to the other side of the equation, so the operation changes to $' - '$ i.e. subtraction. So we get $b + c = P - a$.

Now similarly the operation of $b$ is also $' + '$ i.e. addition. So we transpose it to the other side of the equation also and so its operation changes from addition to subtraction. It further changes the equation $c = P - a - b$. Now we get an equation in which the value of $c$is found.

Hence the required value of $c$ is $P - a - b$.

Note:We should keep in mind that while using transposition method we should involve addition, subtraction, multiplication or division whichever is applicable and its operation also changes. We cannot take the constant numbers if any from one side to another as it is not a transposition method.