Question

X square + 4 y square equal to 4 x y then x is 2 y is

Answer 1

Solve by substitution x^2 + y^2 = 8 and x - y = 4

The equations x^2 + y^2 = 8 and x - y = 4 have to be solved by substitution.

x - y = 4

=> x = 4 + y

Substitute in x^2 + y^2 = 8

=> (4 + y)^2 + y^2 = 8

=> 16 + y^2 + 8y + y^2 = 8

=> y^2 + 4y + 4 = 0

=> (y + 2)^2 = 0

=> y = -2

x = 4 + y = 2

Answer 2

Answer:

x² + 4y² = 4xy

x² + (2y)² - 4xy = 0

x² + (2y)² - 2(x)(2y) = 0

As ( a - b )² = a² + b² - 2ab

=> ( x - 2y )² = 0

Taking square roots on both sides

=> x - 2y = 0

=> x = 2y

Best of Luck !!!!

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