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7^x = a
5^y = b
a + b = 74
7a - 5b = 218
5a + 5b = 370
Solving by elimination
12a = 588
a = 49
Compare it with 7^x
x = 2
a + b = 74
49 + b = 74
b = 74 - 49
b = 25
Compare it with 5^y
y = 2
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