# Show graphically that the system of equations x+2y=4 & 7x+4y-18 is consistent with a unique solution

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For example, For x + 2y = 4, when x = 2, y = 1 and when x = 4, y = 0.

These two sets (2,1) and (4,0) represent two points through which the line represented by x + 2y = 4.

Hence on graph draw a line through the points (2,1) and (4,0)

Similarly, points (2,1) and (6, -6) represent two points through which the line represented by 7x + 4y = 18 passes. Draw a line through these points.

You will see that the lines cut each other at only one point.

Hence this presents uniqueness of the solution.

J