Question

5 ^ (3x - 2y) = 125 and 5 ^ (5x+2y)= 625 The value of x and y are:

Answer 1

Answer:

23 and 5 answer of this question

Answer 2

The value of $x = \frac{7}{8} ,y = \frac{-3}{16}$

Step-by-step explanation:

Given: The first equation is

$\Rightarrow 5^{\left ( 3x - 2y \right )}=125$

$\Rightarrow 5^{\left ( 3x - 2y \right )}=5^{3}$

$\Rightarrow 3x - 2y =3$

The second equation is

$\Rightarrow 5^{\left ( 5x + 2y \right )}=625$

$\Rightarrow 5^{\left ( 5x + 2y \right )}=5^{4}$

$\Rightarrow 5x + 2y =4$

Now adding both equation we get,

$\Rightarrow 8x = 7$

$\Rightarrow x = \frac{7}{8}$

Put value of x in first equation we get

$\Rightarrow 3 \times \frac {7}{8} - 2y =3$

$\Rightarrow y = \frac{-3}{16}$

The value of $x = \frac{7}{8} , y = \frac{-3}{16}$