Bisector of angle between lines

Question

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My attempt- (3x-6y-5)/3root(5)=(x+2y-11)/root(5) this gives 3y=7

but both my answer and the correct answer are not matching as well as it says that it contains (1,-3) which when substituted in the correct answer does not satisfy it.

Answer 1

The two bisector lines are

• $x=\frac{19}3$
• $y=\frac{7}3$

and no one contains the point $(1,-3)$.