Question

Solve the linear equation:
\[2n+16=4-n\]

Answer 1

Hint: In this question we have given a linear equation and we have to solve the equation and find the value of \[n\] , hence to find the value of \[n\] we need to put the like terms on one side and constants on other side and then solve the equation so that we could obtain the given result.

Complete step-by-step solution:
We have given a linear equation:
\[\Rightarrow 2n+16=4-n\]
Rearrange the terms, put the variables on one side and constant on the other side so that we can find out the value of \[n\]:
\[\Rightarrow 2n+n=4-16\]
\[\Rightarrow 3n=-12\]
\[\Rightarrow n=-\dfrac{12}{3}\]
\[\Rightarrow n=-4\]
Hence, by solving the given linear equation we have got the value of \[n=-4\]

Additional information:
An equation is made up of variables, which are usually English alphabets that can take any real value and yet satisfy the equation. Constants and coefficients are also included. The coefficients are the numbers related with the variables, while the constants are the variable independent numbers in the equation. The algebraic equations having the order of unity are known as linear equations. Linear equations are first-order equations. In the coordinate system, these equations are defined for lines. A linear equation is an equation for a straight line.
Finding the value of a variable for which the equation becomes true is known as finding the solution of a linear equation. For each variable in a linear equation, there is usually only one solution. Inverse Mathematical techniques are employed to solve linear equations in one variable.
Linear equations are equations in which the variables have been increased to the power of one. Based on the number of variables in the equation, linear equations are divided into distinct categories. The following are the various types of linear equations:
1. One-variable linear equations are linear equations that have only one variable.
2. Linear equations with two variables are linear equations that have two variables.
3. Three-variable linear equations are linear equations with three variables.

Note: Students do you know that in a linear equation or inequality, the highest exponent of the variable is one. When plotted on a graph, one variable linear equations are straight lines. For straight lines, a linear equation is used. A straight line is not formed by a nonlinear equation. It could be a curve with a changing slope value.