Step-by-step explanation:
(72)¹⁴³ ≡ x (mod 7)
Since 72 ≡ 2 (mod 7),
72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).
Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)
≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).
The answer is A.
Just distribute the 3. 3(x + 4y) = 3x + 12y
3x + 12y is the answer.
Answer:
5y+8(x-3y)=7x-12
5y+8x-24y=7x-12
8x-7x + 5y-24y= -12
X - 19y = - 12
9x+3(x-9y) =11y+46
9x+3x - 27y = 11y + 46
12x -27y - 11y = 46
12x - 38y = 46
Now joining together
X - 19y = - 12
12x - 38y = 46
Multiple by 12 the first equation and Substract after
12x - 228y = -144
12x - 38y = 46
- 190y = -98
Y = 1.9
12x - 38y = 46
12x - 38(1.9) = 46
12x - 73.67 = 46
12x = 46 + 73.67
12x = 119.67
X = 9.97
So the answer are :
X = 9.97
Y = 1.9
Step-by-step explanation:
There is no fixed equation when I arrived at these numbers.
I just did trial and error. I came up with 25 and -8 as the numbers.
200 ÷ 25 = 8 ⇒ the sum of 17 depends on the signs of each numbers.
-8 x 25 = -200
-8 + 25 = 17