Question

Is \[x = 4\;\] is a solution of the equation \[3x - 1 = 11\;\] ?

Answer 1

Hint: To check \[x = 4\;\] is the solution of the linear equation or not, we just have put the value of given value of x in the given linear equation, if we get the value in LHS exactly equal to the value RHS. Then \[x = 4\;\] will be the solution of the given equation.

Complete step-by-step answer:
The linear equations in one variable is an equation which is expressed in the form of \[ax + b = 0\], where a and b are two integers, and x is a variable and has only one solution. For example, \[2x + 3 = 8\] is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is \[x = \dfrac{5}{2}\]. Whereas if we speak about a linear equation in two variables, it has two solutions.
Given the linear equation \[3x - 1 = 11\;\]
we have to check whether \[x = 4\;\] satisfies the equation or not?
Putting \[x = 4\;\] in the equation , we get,
\[
\Rightarrow {3\left( 4 \right) - 1 = 11} \\
\Rightarrow {11 = 11}
\]
Here LHS is equal to RHS
Hence, \[x = 4\;\] is the solution of the given equation.
So, the correct answer is “\[x = 4\;\] is the solution of the given equation.”.

Note: We can answer this question in another way also like just solve the given linear equation and find the value of x. and then check whether it is 4 or else. If the value of x after solving the given linear equation we get 4 then \[x = 4\;\] will be the solution of the given linear equation.