Lesson 474 of 1524
Systems of Equations and Inequalities
A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously
Practice this chapterA system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently
One method of solving a system of linear equations in two variables is by graphing. Another method of solving a system of linear equations is by substitution.
system — considered simultaneously. system of linear equations — a set of two or more equations in two or more variables that must be considered simultaneously. addition method — an algebraic technique used to solve systems of linear equations in which the equations are added in a way that eliminates one variable, allowing the resulting equation to be…. consistent system — a system for which there is a single solution to all equations in the system and it is an independent system, or if there are an infinite number of solutions and it is a….
Be able to use matrix multiplication and the identity to find the inverse of a 2 × 2 matrix; write the system of equations as A X = B , and multiply both sides by the inverse of A : A -1 A X = A -1 B.
Worked example
What does “system” mean in Systems of Equations and Inequalities?
- 1Use the wording this chapter gives for system.
- 2The book says: considered simultaneously.
- 3Do not use the meaning of system of linear equations. That term means a set of two or more equations in two or more variables that must be considered simultaneously.
Result: considered simultaneously
Why. That is the meaning this chapter gives for system.
Do not swap system and system of linear equations. system means considered simultaneously. system of linear equations means a set of two or more equations in two or more variables that must be considered simultaneously.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.