1.

If 4 x square + 9 y square equal to 69 and xy equal to 1 find the value of 2 X + 3 y

Answer»

(2X + 3y)^2
= 4x^2 + 9y^2 + 2×2x × 3y
= 4x^2 + 9y^2 + 12XY
= 69 + 12×1
= 81
hence
(2x + 3y)^2 = 81
so
2x+3y = √81
2x + 3y = 9



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