Solve the following system of equations graphically:

2x - 3y = 1,4x - 3y + 1 = 0.

For 2x – 3y = 1,( In graph - red line)

For 4x – 3y + 1 = 0,( In graph – blue line)

From the above graph, we observe that there is a point ( - 1, - 1) common to both the lines.

So, the solution of the pair of linear equations is x = - 1 and y = - 1.

The given pair of equations is consistent.