Question

12. If 9x +16y2 = 64 and xy = 2 find the value of 3x-4y.​

Answer 1

Answer:

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Step-by-step explanation:

✡ Given ✡

9x² + 16y² = 64 ---------> (i)

xy = 2

$\implies$xy = 2

$\implies$24xy = 48 ----------> (ii)

(i) - (ii)

$\implies$9x² + 16y² - 24xy = 64 - 48

$\implies$(3x - 4y)² = 16

$\implies$(3x - 4y) = ±4

Answer 2

Step-by-step explanation:

Hello ✌️✌️✌️✌️✌️✌️

Step-by-step explanation:

✡ Given ✡

9x² + 16y² = 64 ---------> (i)

xy = 2

\implies⟹ xy = 2

\implies⟹ 24xy = 48 ----------> (ii)

(i) - (ii)

\implies⟹ 9x² + 16y² - 24xy = 64 - 48

\implies⟹ (3x - 4y)² = 16

\implies⟹ (3x - 4y) = ±4