Question

How do you solve $5n+8=43$?

Answer 1

Hint: The equation given in the above question is a linear equation in one variable, that is n. The question says that we have to solve the given equation in n. In other words, we have to find the values of n which will satisfy the given equation. Try to find the value of n by performing some mathematical operations.

Complete step by step solution:
The given equation says that $5n+8=43$.
The given equation is a very simple linear equation in one variable, i.e. n.
Let us analyse the above equation and try to simplify the equation by performing some mathematical operations on both the sides.
The first thing that we can do here, is subtract 8 on both the sides of the equation so that the left hand side of the equation gets rid of constant terms and only the terms that are multiple of n are left and the right hand side has only constant terms.
With this we get that $5n+8-8=43-8$
$\Rightarrow 5n=35$
In the above equation we can see that the number 5 is a factor of 35. Therefore, we shall divide both the sides of the equation by 5.
This will give us that $n=7$
Therefore, the solution of the given equation is $n=7$.

Note: Students must note that when we perform mathematical operations on an equation we must keep in mind the equation always holds true. That is why we perform the same operations on both sides. Students must also note that the number of solutions to a given equation in one variable is always less than or equal to the degree of the polynomial in the given equation.