Math, asked by lakshmananvishalraja, 10 months ago

plz answer me please with all its steps for my homework and I WISH YOU HAPPY NEW YEAR 2020​

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Answers

Answered by Siddharta7
1

Answer:

x = -1/2, y = 2

Step-by-step explanation:

Given,

2(ax-by) + a + 4b = 0  ------ (1)

                                                     

2(bx+ay) + b - 4a = 0  ------- (2)

                                                                 

From Equation 1 , we get

=> 2ax - 2by + a + 4b = 0

=> 2ax - 2by = -(a+4b)   ------ (3)              

                                               

From Equation 2, we get

2(bx+ay) + b - 4a = 0

=> 2bx + 2ay + b - 4a = 0

=> 2bx + 2ay = -(b - 4a)    ------ (4)

Multiplying equation 3 by a and 2 by b, we get

=> 2a²x - 2aby = -a(a + 4b)

=> 2ab²x + 2aby = -b(b - 4a)

   ---------------------------------------

        2x = -1

          x = -1/2

Place x = -1/2 in (4), we get

=> 2bx + 2ay = -(b-4a)

=> -b + 2ay = -b + 4a

=> y = 2

Therefore,

x = -1/2, y = 2

Hope it helps!

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