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Lesson 607 of 1524

Systems of Linear Equations

How to solve a system of linear equations by graphing.

Practice this chapter

How to solve a system of linear equations by graphing. Determine whether the lines intersect, are parallel, or are the same line

If the lines intersect, identify the point of intersection. If the lines are parallel, the system has no solution.

system of linear equations — When two or more linear equations are grouped together, they form a system of linear equations. lines — parallel, the system has no solution. consistent and inconsistent systems — Consistent system of equations is a system of equations with at least one solution; inconsistent system of equations is a system of equations with no solution. cost function — The cost function is the cost to manufacture each unit times x , the number of units manufactured, plus the fixed costs; C ( x ) = (cost per unit) x + fixed costs.

Worked example

What does “system of linear equations” mean in Systems of Linear Equations?

  1. 1Use the wording this chapter gives for system of linear equations.
  2. 2The book says: When two or more linear equations are grouped together, they form a system of linear equations.
  3. 3Do not use the meaning of lines. That term means parallel, the system has no solution.

Result: When two or more linear equations are grouped together, they form a system of linear equations

Why. That is the meaning this chapter gives for system of linear equations.

Do not swap system of linear equations and lines. system of linear equations means When two or more linear equations are grouped together, they form a system of linear equations. lines means parallel, the system has no solution.

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.