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Introduction: Systems of Linear Equations - Part 1

8What is a linear system of equations?

If the hare leaves his friend too big a head start at the beginning, the hare may never overtake the tortoise or the meeting point may be so late that your page is not big enough to capture the meeting point.

The graphical solution is therefore not always useful.

How do you proceed in such a case?

In the above example, you worked with two straight lines whose equations you know. One possible way to write a system of equations is to write the equations one below the other and number them with Roman numerals. This looks as follows:

What is a linear system?

  • A linear equation is an equation depending linearly on one or more unknowns (variables), such as xx and yy.

  • Several linear equations with the same variables, for example x x and yy, form a system of linear equations. The goal is to find values for the variables such that all equations are satisfied simultaneously.


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