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Let $2^x$ = a and $3^y$ = b
a + b = 59 .....(i)
8a - 9b = 13 .... (ii)
Multiply eqn (i) by 8
8a + 8b = 472
-8a - 9b = 13 -
17b = 459
a + 27 = 59
a = 32
b = 27
but $2^x$ = a
$2^x = 32$
If bases are equal the powers are
also equal hence x = 5
$3^y=b$ - $3^y=27$
$3^y = 3^3$ = y = 3
johnmulu answered the question on June 8, 2017 at 09:12
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