Question

Solve $x + 3 = 11$ and find the value of $x$.

Answer 1

Hint:
Here, we will find the value of the variable. We will rearrange the given equation such that the variables will be on one side and the numbers on the other side. Then by solving the equation, we will find the value.

Complete step by step solution:
We are given that $x + 3 = 11$
The given equation is in the form of a linear equation.
Subtracting 3 both sides of the given equation, we get
$ \Rightarrow x = 11 - 3$
By solving the equation, we get
$ \Rightarrow x = 8$

Therefore, the value of the variable $x$ is 8.

Additional Information:
We can solve the linear equation quite easily by putting the variable on the left-hand side and the numerical values on the right-hand side. We will then change the operator’s sign while changing sides of the terms, thus we can solve for the variable. Similarly, we have linear equations in two variables, linear equations in three variables, and so on. We can solve the linear equations in two variables by using the method of elimination and method of substitution and the linear equations in three variables by using the matrix method.

Note:
We know that Linear equations are a combination of constants and variables. A linear equation is defined as an equation with the highest degree as 1. Constants are the numbers whereas variables are represented in letters. We should also know that every linear equation in one variable has a one and unique solution. Linear equations are formed with variables such that the variable is solved to find the value.