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IRINA_888 [86]
3 years ago
15

Help pls 40 points

Mathematics
2 answers:
Lunna [17]3 years ago
6 0

Answer:

X=5/2 , y=2

Step-by-step explanation:

Sorry if I'm not correct

F4 ke?

kolezko [41]3 years ago
4 0
X = 2.5
y = 2

Explanation:

3(9^x) = 27^y
3(3^2x) = 3^3y
3^(2x + 1) = 3^3y
2x + 1 = 3y
2x - 3y = -1, first equation

log2 y = 2 + log2 (x - 2)
log2 y = log2 (2^2) + log2 (x - 2)
log2 y = log2 (2^2 x [x - 2])
log2 y = log2 (4x - 8)
y = 4x - 8
8 = 4x - y
4x - y = 8, second equation

Multiply the second equation by 3
12x - 3y = 24, third equation

Subtract the first equation from the third, cancelling the positive and negative 3y
It results in:
2x - 12x = - 1 - 24
-10x = -25
x = 2.5

Substituting x = 2.5 in equation (1)
2(2.5) - 3y = -1
5 - 3y = -1
-3y = -6
y = 2
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