Question

Find the point of intersection of lines: 2ax -by=2a^2-b^2 , ax +2by =a^2 + 2b^2

Answer 1

Answer:

x = a, y = b  is the point of intersection of the given two straight lines.

Step-by-step explanation:

Given lines in the two dimensional Cartesian coordinate system are  :

    L1:   2 a x - b y =  2 a² - b²    

    L2 :   a x + 2 b y = a² + 2 b²

To find the point of intersection of L1 and L2.

2 * L1 + L2 => 5 a x = 5 a²

   =>    x = a     assuming  a ≠ 0.

Substituting it in L1:     y = b,   assuming  b ≠ 0.

So point of intersection is simply (a, b).

Answer 2

Answer: I Don't know the answer