Mathématiques

Question

Svp résoudre le système suivant:
5x+2y=16
3x-y=3

2 Réponse

  • bonjour

    5 x + 2 y = 16

    3 x - y =  3

    5 x + 2 y = 16

    6 x - 2 y = 6

    11 x = 22

    x = 2

    5 x + 2 y = 16

    10 + 2 y = 16

    2 y = 16 - 10

    2 y = 6

    y = 3

    S ( 2 ; 3 )

  • Bonjour,

    [tex]\left\{ \begin{array}{ll}

    5x + 2y = 16\\

    3x - y = 3

    \end{array}

    \right. 

    [/tex]

    [tex]\left\{\begin{array}{ll}

    5x + 2y = 16\\

    y = 3x - 3

    \end{array}

    \right. [/tex]

    [tex]\left\{\begin{array}{ll}

    5x + 2(3x - 3)= 16\\

    y = 3x - 3

    \end{array}

    \right. [/tex]

    [tex]\left\{\begin{array}{ll}

    5x + 6x - 6 = 16\\

    y = 3x - 3

    \end{array}

    \right. [/tex]

    [tex]\left\{\begin{array}{ll}

    11x = 22\\

    y = 3x - 3

    \end{array}

    \right. [/tex]

    [tex]\left\{\begin{array}{ll}

    x = \frac{22}{11} \\

    y = 3x - 3

    \end{array}

    \right. [/tex]

    [tex]\left\{\begin{array}{ll}

    x = 2\\

    y = 3 \times 2 - 3

    \end{array}

    \right. [/tex]

    [tex]\left\{\begin{array}{ll}

    x = 2\\

    y = 3

    \end{array}

    \right. [/tex]

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