Question

of equation 3^x+ y = 81 , 81^x - y = 3 has​

Answer 1

Answer:

Refer to the above attachment to know the answer plz.

Hope it helps.

✌️Santa19 ✌️

Answer 2

Answer:

3x + y = 81 ⇒ 3x + y = 34 = x + y = 4 ... (i)

81x – y = 3 ⇒ (34)x – y = 31

⇒ 4x – 4y = 1 ... (ii)

Eqn (i) × 4 + Eqn (ii) gives

4x + 4y + 4x – 4y = 16 + 1

⇒ 8x = 17 ⇒ x =

$\frac{17}{8}$

Putting x =

$\frac{17}{8}$

in (i), we get

$\frac{17}{8}$

+ y = 4

⇒ y = 4 -

$\frac{17}{8}$

=

$\frac{15}{8}$

$x = \frac{17}{8} \: \: \\ y = \frac{15}{8}$