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
Example 2
Solve graphically the system:
2x − 3y = -6
x + y = 7
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