Given two straight lines L1: MX + 8y + n = 0 and L2: 2x + MY-1 = 0, try to determine the value of M and N, so that 1: L1 intersects L2 at point P (m, 1)

Substituting (m, 1) into a straight line
m²+8+n=0(1)
2m+m-1=0(2)
By (2)
3m=1
m=1/3
Substituting (1)
n=-8-1/9=-73/9
So m = 1 / 3, n = - 73 / 9

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