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HMMT 十一月 2021 · 冲刺赛 · 第 1 题

HMMT November 2021 — Guts Round — Problem 1

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [5] The graphs of the equations y = − x + 8 173 y = − 289 x + 2021 on the Cartesian plane intersect at ( a, b ). Find a + b .
解析
  1. [5] The graphs of the equations y = − x + 8 173 y = − 289 x + 2021 on the Cartesian plane intersect at ( a, b ). Find a + b . Proposed by: Holden Mui Answer: 8 Solution: From the first equation, it is known that ( a, b ) lies on the line x + y = 8 , therefore a + b = 8 .