# What is a system of linear equations? Provide an example with description. Question
Equations What is a system of linear equations? Provide an example with description. 2020-10-28
Step 1
Definition of linear equation:
A linear equation is a equation which can be written in the form , ax+b=0 , x is a variable.
Also, a linear equation can also be written in two variables as of form, ax+by=0 here, x,y are variables.
The system of linear equation is when there are two or more than two linear equations are involved like,
2x−3y=8
x+7y=23
So, we have two linear equation in two variables x and y.
Step 2
Also, the linear equation has variables with the max power of variables as 1 then its a linear equation.
So, a system of linear equation with one or two variable can be written as two or more than two linear equations together.

### Relevant Questions decide if the given statement is true or false,and give a brief justiﬁcation for your answer.If true, you can quote a relevant deﬁnition or theorem. If false,provide an example,illustration,or brief explanation of why the statement is false.
Q) The system of differential equations $$\displaystyle{x}′={t}{y}+{5}{\left({\sin{{t}}}\right)}{y}−{3}{e}^{{t}},{y}′={t}^{{2}}{x}−{7}{x}{y}−{1}$$ is a ﬁrst-order linear system of differential equations. What is a system of linear equations? Provide an example with your description. When solving systems of equations we have at least two unknowns. A common example of a system of equations is a price problem. For example, Jacob has 60 coins consisting of quarters and dimes.
The coins combined value is \$9.45. Find out how many of each (quarters and dimes) Jacob has.
1.What do the unknowns in this system represent and what are the two equations that that need to be solved?
2.Finally, solve the system of equations. Suppose a nonhomogeneous system of six linear equations in eight unknowns has a solution, with two free variables. Is it possible to change some constants on the equations’ right sides to make the new system inconsistent? Describe what is meant by the augmented matrix of a system of linear equations. What is the solution of a system of linear equations?    