Сергей Янков
Оракул
(61055)
1 день назад
2x + y = 6
0,5^y-3x = 1
y = 6 - 2x
0,5^6-2x-3x = 1
y = 6 - 2x
0,5^6-5x = 2^0
y = 6 - 2x
6 - 5x = 0
y = 6 - 2x
-5x = -6
y = 6 - 2x
x = 1,2
y = 3,6
x = 1,2
(1,2; 3,6)
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11^x+5y = 121
4x - 5y = 4
11^x+5y = 11^2
4x - 5y = 4
x+5y = 2
4x - 5y = 4
5x = 6
4x - 5y = 4
x = 1,2
4,8 - 5y = 4
x = 1,2
-5y = -0,8
x = 1,2
y = 0,16
(1,2; 0,16)
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4^x+y = 64
x - 9y = 7
4^x+y = 4^3
x - 9y = 7
x + y = 3
x - 9y = 7
x = 3 - y
3 - y - 9y = 7
x = 3 - y
-10y = 4
x = 3,4
y = -0,4
(3,4; -0,4)
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3^2x-y = 27
5^x-5,5y = 125
3^2x-y = 3^3
5^x-5,5y = 5^3
2x-y = 3
x - 5,5y = 3
6 + 11y - y = 3
x = 3 + 5,5y
10y = -3
x = 3 + 5,5y
y = -0,3
x = 1,35
(1,35; -0,3)
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2^x-y = 512
(1/2)^x-2y+1 = 1/16
2^x-y = 2^9
(1/2)^x-2y+1 = (1/2)^4
x-y = 9
x-2y+1 = 4
x - y = 9
x - 2y = 3
x = 9 + y
9 + y - 2y = 3
x = 9 + y
-y = -6
x = 15
y = 6
(15; 6)
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0,6^3x*0,6^y = 0,6
2^5x*2^-y = 32
0,6^3x+y = 0,6^1
2^5x-y = 2^5
3x+y = 1
5x - y = 5
8x = 6
5x - y = 5
x = 0,75
3,75 - y = 5
x = 0,75
y - 3,75 = -5
x = 0,75
y = -1,25
(0,75; -1,25)
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4^x*2^y = 1
(1/2)^x*8^y = 2
2^2x*2^y = 1
2^-x*2^3y = 2^1
2^2x+y = 2^0
2^3y-x = 2^1
2x + y = 0
3y - x = 1
y = -2x
-7x = 1
y = 2/7
x = -1/7
(-1/7; 2/7)
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2^x + 2^y = 12
2^x - 2^y = 4
2^x + 2^x = 16
2^x - 2^y = 4
2^x = 8
2^x - 2^y = 4
2^x = 2^3
2^x - 2^y = 4
x = 3
2^3 - 2^y = 4
x = 3
8 - 2^y = 4
x = 3
-2^y = -4
x = 3
2^y = 4
x = 3
2^y = 2^2
x = 3
y = 2
(3; 2)