# A pair of straight lines is represented by #2y^2 +5xy -3x^2 = 0#. Another line having an equation #x+y = k#. These lines form a triangle whose centroid is #(1/18,11/18)#. Find the value of k?

##### 1 Answer

Sep 20, 2017

#### Explanation:

so the three lines are

and given

where

are the intersection points or the vertices.

Solving for

and then