5 * 3 ^ ( x - 1 ) - 3 * 2 ^ y = - 1
3 ^ ( x + 1 ) + 5 * 2 ^ ( y - 1 ) = 14
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3 ^ x = a
3 ^ ( x + 1 ) = 3a
3 ^ ( x - 1 ) = 1/3a
2^ y = b
2 ^ ( y - 1 ) = 1/2b
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5 * 1/3a - 3b = - 1
3a + 5 * 1/2b = 14
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5a - 9b = - 3
6a + 5b = 28
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a = ( 9b - 3 ) : 5 = 1,8b - 0,6
6( 1,8b - 0,6 ) + 5b = 28
10,8b - 3,6 + 5b = 28
15,8b = 31,6
b = 2
a = 1,8 * 2 - 0,6 = 3,6 - 0,6 = 3
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3 ^ x = 3
x = 1
2 ^ y = 2
y = 1
Ответ ( 1 ; 1 )