solve that match: find x know: x+2y=3, x>2y, x,y ∈N*

By Melanie

solve that match:
find x know: x+2y=3, x>2y, x,y ∈N*

0 bình luận về “solve that match: find x know: x+2y=3, x>2y, x,y ∈N*”

  1. $x+2y=3$

    $\Leftrightarrow x=3-2y$

    $x\in \mathbb{N^*}$

    $\Rightarrow x\ge 1$

    $\Rightarrow 3-2y\ge 1$

    $\Leftrightarrow y\le 1$

    $y\in \mathbb{N^*}\Rightarrow y\in \{1\}$

    If $y=1$, $x=3-2.1=1$ ($x>2y$, incorrect)

    $\Rightarrow S=\{ \varnothing\}$

    Trả lời
  2. Đáp án:

    \( x,y \in (\varnothing; \varnothing)\)

    Giải thích các bước giải:

    \(x+2y=3\\\to x=3-2y\)

    Because \(x\in \mathbb N^*\) so \(x\ge 1\)

    \(\to 3-2y\ge 1\to 2y\le 2\to y\le 1\to y=1\to x=3-2\cdot 1=1\)

    On the other hand: \(1<2\cdot 1\)

    \(\to x,y \in (\varnothing; \varnothing)\)

    Trả lời

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