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