What is a system of linear equations? Provide an example with description.

Question
Equations
asked 2020-10-27
What is a system of linear equations? Provide an example with description.

Answers (1)

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.
0

Relevant Questions

asked 2020-11-09
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.
asked 2021-02-11
What is a system of linear equations? Provide an example with your description.
asked 2021-02-16
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.
asked 2020-12-15
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?
asked 2020-11-17
Describe what is meant by the augmented matrix of a system of linear equations.
asked 2020-10-18
What is the solution of a system of linear equations?
asked 2021-01-02
Given a homogeneous system of linear equations, if the system is overdetermined, what are the possibilities as to the number of solutions?
asked 2021-03-07
What is the difference between a system of linear equations and a system of nonlinear equations?
asked 2021-02-21
Define a new interpretation of the description “dynamical system” for a collection of interdependent differential equations?
asked 2020-11-08
Suppose that a nonhomogeneous system with 10 linear equations in 8 unknowns has a solution with 2 free variables. Is it possible to change some constants on the equations’ right hand side to make the new system inconsistent?
...