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We find that graphs of 2x + 4y =10 and 3x + 6y = 12 are parallel. So, the two lines have
no common point. Hence, the given system of equations has no solution.

Example: Solve the following system of linear equations graphically:
2x + y - 3 = 0, 2x - 3y - 7 = 0

Solution: The given system of equations is
2x + y - 3 = 0, 2x - 3y - 7 = 0
Now, 2x + y - 3 = 0
y = 3 - 2x

Table of solutions

x 2 0 3
y -1 3 -3

Plotting the points (2, -1), (0, 3), (3, -3) and joining them, we get a line l, which is the
graph of 2x + y - 3 = 0

Table of solutions

x -1 2 5

y -3 -1 1

Plotting the points (-1, -3), (2, -1), (5, 1) and joining them, we get a line m, which is the
graph of 2x - 3y - 7 = 0

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