Question

Find the point of intersection of lines x - 4y = 3 and 6x - y = 11

Answer 1

Answer:

6x-y-11=0 is the equation of the line PQ.

Step-by-step explanation:

The two lines that intersect each other are given as:

x-y=6 …(1)

2x+y=-3 …(2)

Add (1) and (2), to get 3x = 3 or x = 1.

Put x=1 in (1) to get y = -5

So the two lines intersect at P (1,-5).

The equation of the line joining P and Q (2,1)

(x-1)/(2–1) = (y+5)/(1+5), or

(x-1)/1 = (y+5)/6, or

6x-6 = y+5, or

6x-y-11=0 is the equation of the line PQ.

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