# 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

Continues below

### Example 2

Solve graphically the system:

2x − 3y = −6

x + y = 7

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