Positive integers x, y satisfy the equation x-4y = 78 and inequality 4 ≤ X-8 (Y-1) < 8, and find the value of XY

4 ≤ X-8 (Y-1) < 8 is simplified as: 4 ≤ x-8y + 8 < 8 minus 8
-4 ≤ x-8y ＜ 0, then substitute (x-4y = 78) to get: - 4 ≤ 78-4y ＜ 0, sort out: 20.5 ≥ y ＞ 19.5 and Y is an integer, so it can only be 20, then x = 158

RELATED INFORMATIONS

1. Given that two positive numbers x and y satisfy x + 4Y + 5 = XY, then the values of X and y are () A. 5，5B. 10，52C. 10，5D. 10，10
2. 1-2 / x + y = XY, 4Y + 6x = XY?
3. X + 4Y = 1 x y greater than 0 to find the minimum mean inequality process of 1 / x + 1 / Y
4. Find and prove the inequality that 1 / x + 1 / y is greater than or equal to 4 / x + y
5. When x > 0, x > ln (1 + x)
6. Cauchy inequality solution: known a, B, C are positive numbers, prove: (A / B + B / C + C / a) (B / A + C / B + A / C) > = 9
7. The solution of the basic inequality y = (3 + X + X * x) / (1 + x) (x > 0) in high school mathematics
8. Given that x, y, Z are positive numbers and X + 2Y + 3Z = 2, then s = 1 / x + 2 / y + 3 / Z is the minimum
9. Given x + 2Y + 3x = 12, find the minimum value of x ^ 2 + 2Y ^ 2 + 3Z ^ 2
10. Given x + 2Y + 3Z = 12, find the minimum value of x ^ 2 + 2Y ^ 2 + 3Z ^ 2
11. If x, y ∈ R + and X + 4Y = 1, then the maximum value of X · y is 0______ ．
12. Given | X-2 | + x ^ 2-xy + 1 / 4Y ^ 2 = 0, find the value of X and y
13. Who can help me to solve some simple basic inequalities and Cauchy inequalities Given (x ^ 2) + 2 (y ^ 2) = 1, find the maximum value of X + 2Y Given x + y + Z = 1, find the minimum value of 2 (x ^ 2) + 3 (y ^ 2) + Z ^ 2 A B C is a real number not less than 0 to prove a ^ 3 + B ^ 3 + C ^ 3 ≥ 3ABC If a and B satisfy AB = a + B + 3, the value range of AB can be obtained
14. Three dimensional Cauchy inequality a. B and C are positive numbers 1 1 1 1 1 1 — + — + — 》= ———+ —— + ——— 2a 2b 2c b+c c+a a+b 1/2a + 1/2b + 1/2c >= 1/(b+c) + 1/(c+a) + 1/(a+b)
15. On Cauchy inequality a. B are positive numbers, verification: B / A ^ 2 + A / b ^ 2 > 1 / A + 1 / b
16. The minimum positive period of the function y = 3sin ^ 2x + cos2x is? Such as the title
17. When x ∈ (0, π), the minimum value of F (x) = 1 + cos2x + 3sin2xsinx is () A. 22B. 3C. 23D. 4
18. It is proved that 1 + sin2 θ + Cos2 θ / 1 + sin θ - Cos2 θ = Tan θ
19. How does cos square become 1 / 1 + Tan square theta
20. (Tan x + cot x) cos square x=