Question

Solve the following system of equation using cross multiplication method (a-b)x +(a+b)y = 2a²-2b² ax - by = a²-b²​

Answer 1

Answer:

Step-by-step explanation:

(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

Explanation:

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