Solve the following pair of linear equations by cross - multiplication method.
(i) (a + 2b)x + (2a - b) y = 2;
and (a - 2b)x + (2a + b) y = 3
(ii) (a - b)x + (a + b)y = 2a² - 2b²
and (a + b) (x +y) = 4ab
Ans.(i) x = (5b - 2a)10ab , y =( a +10b)10ab
(ii)x =(2ab-a²+b²)b y =(a-b)(a²+b²)b(a+b)
give correct answer and step wise then only it will be marked as brainlist ✌️
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Answer:
(a-b) x + (a+b)y = 2a² -2b²
(a-b) x + (a+b)y = (2a² -2b²) ......(1)
(a + b ) (x+ y ) = 4ab
(a + b ) x +(a + b ) y = 4ab ......(2)
Now, by cross multiplication method
subtract the equation (2) from (1)
(a-b) x + (a+b)y = (2a² -2b²)
(a + b ) x +(a + b ) y = 4ab
= -2bx = (2a² -2b²) - 4ab
bx = (2a² -2b²) - 4ab /-2
bx = a² + b² - 2ab
bx = a² - b²
x= a² - b² /b
Substituting the value of (3) in equation 2
(a + b ) x +(a + b ) y = 4ab
(a + b ) a² - b² /b +(a + b ) y = 4ab
(a + b )(a + b )(a - b )/ b +(a + b )y = 4ab
y = 4ab ² / a³- b³ + a + b
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Answer:
2 no. nhi mil raha
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sorry
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