Chapter Contents

Systems of Equations
1. Simultaneous Linear Equations
2. Graphs of Linear Functions
3. Graphical Solution of Linear Systems
4. Algebraic Solutions of Linear Systems
5. Graphical Solution of non-linear Systems
6. Algebraic Solution of non-Linear Systems

Following are the original SNB files (.tex or .rap) used in making this chapter. For more information, go to SNB info.

SNB files: 1. Simultaneous Linear Equations (SNB)

2. Graphs of Linear Functions (SNB)

3. Graphical Solution of Linear Systems (SNB)

4. Algebraic Solutions of Linear Systems (SNB)

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3. Graphical Solution of a System of Linear Equations

A 2 × 2 system of equations is a set of 2 equations in 2 unknowns which must be solved simultaneously (together) so that the solutions are true in both equations.

We can solve such a system of equations graphically. That is, we draw the graph of the 2 lines and see where the lines intersect. The intersection point gives us the solution.

Example 1

Solve graphically the set of equations

2x + 3y = 5

x - 3y = 7

Answer

Example 2

Solve graphically the system:

2x − 3y = -6

x + y = 7

Answer

2. Graphs of Linear Functions

4. Algebraic Solutions of Linear Systems

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