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
• Systems of Equations Problem Solver

• Comments, Questions?

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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