Question

If 9x2+ 4y2= 57 and xy = 2 then, find the value of 3x + 2y​

Answer 1

Answer:

18+4.2/x.2=57

18+16/x=57

(18x+16)/x= 57

18x + 16=57x

18x-57x= -16

- 39x= -16

x=16/39

xy= 2

y= 2× 39/16

y= 39/8

3x+2y

3(16/39)+2(39/8)

(16/13)+(39/4)

(64+507)/52

571/52

Answer 2

Answer:

The value of  $3x + 2y = 1\frac{51}{52}$.

Step-by-step explanation:

Given:

9 $\times$ 2 + 4y(2) = 57  and xy = 2

To find:

the value of 3x + 2y​

Step 1

If 9 $\times$ 2 + 4y(2) = 57  and xy = 2

9 $\times$ 2 + 4y(2) = 57

18 + 8y = 57

8y = 57 - 18

8y = 39

y = 39/8

From xy = 2, we get y = 2/x

$&\Rightarrow \frac{2}{x}=\frac{39}{8}$

$\Rightarrow x=\frac{2 \times 8}{39}=\frac{16}{39}$

Therefore, the value of 3x + 2y

$&=\left(3 \times \frac{16}{39}\right)+\left(2 \times \frac{39}{8}\right)$

Simplifying the above equation, we get

$=\frac{16}{13}+\frac{39}{4}$

$&=\frac{64+507}{52}$

$=\frac{571}{52}$

$= 1\frac{51}{52}$

Therefore, the value of  $3x + 2y = 1\frac{51}{52}$.

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