If line y=2/3x+8 and y=-3/2x+c intercept each other then what is the value of c, if x intercept is 6?

Is the question:

If lines y=2/3x+8 and y=-3/2x+c intersect each other then what is the value of c, if x of the intersection point is 6?

At the point of intersection, the x and y coordinates of both the lines will be same here.

2x/3 + 8 = -3x/2 + c

Inputting x value:

4 + 8 = -9 + c

c = 4+8+9 = 21

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