Question

How do you solve 3x + 4 = 1?

Answer 1

Hint: We will first rewrite the given equation by taking the constant term (the terms without x in them) to the right hand side and then doing the required calculations.

Complete step-by-step answer:
We are given that we are required to solve 3x + 4 = 1.
We have a constant term 4 on the left hand side and one variable term with a coefficient of 3 that is 3x on the left hand side as well.
We will just take the constant term 4 from addition in the left hand side to subtraction in the right hand side to then obtain the expression as follows:-
$ \Rightarrow $3x = 1 – 4
Now, we know that 1 – 4 = -3, so putting this calculation in the above derived equation, we will then obtain a new equation which is given as follows:-
$ \Rightarrow $3x = -3
On dividing by 3 on both the sides, we will just eradicate the coefficient of x on the left hand side and get – 1 on the right hand side, which can be represented as the following equation:-
$ \Rightarrow $x = - 1

Hence, the required answer is x = - 1.

Note:
The students must note that they may opt to take the variable on the right hand side or the constants on the right hand side in such a question. We just need to make sure that same kind of terms are on the same side so that we can just combine them to get the required answer.
The students must also note that here we have one equation and one variable and thus we solved it for its value. We require as many equations as many unknown variables we have.