Only 14th question. ......
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Answered by
2
Answer:
Hi ,
7^x + 5^y =74 ---- ( 1 )
7^x +1 - 5^y+1 = 218
7^x × 7 - 5^y × 5 = 218 --- ( 2 )
let a = 7^x ,
b = 5^y
a + b = 74
a = 74 - b --- ( 3 )
7a - 5b = 218 ---( 4 )
put a value in ( 4 ) ,
7( 74 - b ) - 5b = 218
518 - 7b - 5b = 218
518 - 12b = 218
518 - 218 = 12b
300 = 12b
12b = 300
b = 300 / 12
b = 25
put b= 25 in equation ( 3 ) ,
a = 74 - 25
a = 49
but
a = 49
7^x = 7²
x = 2 ;
b = 25
5^y = 5²
y = 2
∴ x = 2 and y = 2
mark brainliest pls
brain111111:
mark brainliest pls
Answered by
1
Answer:
Step-by-step explanation:
x=2 and y=2
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