Let us solve graphically:

Let us determine the point of intersection by drawing the graph of the equations
.
The x co - ordinate of the point of intersection will be the required solution.
……..(1)
…….(2)
Solving Equation (1)
2y = 3x - 1
2y - 3x = - 1

Solving Equation (2)
3y = 2x + 6
3y - 2x = 6


The X coordinate of the intersection point is 3
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