The equation of line \(l_1\) is \(5y=6x-2\). The equation of line \(l_2\) is \(2y=5x-6\).
Find the coordinates of the point of intersection of line \(l_1\) and line \(l_2\).[3]
The equation of another line \(l_3\) is \(py=3x-1\), where \(p\) is a constant. Explain why it is not possible to find a value of \(p\) such that lines \(l_1\) and \(l_3\) do not intersect.[3]
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