Respuesta :

[tex] \huge\mathbf{Answer࿐}[/tex]

[tex] \underline{ \underline{ \bf{step} - 1}}[/tex]

Taking first equation,

  • [tex]2x + y = 20[/tex]

  • [tex]y = 20 - 2x[/tex]

[tex] \underline{ \underline{ \bf{step} - 2}}[/tex]

plugging the value of y in second equation,

  • [tex]6x - 5y = 12[/tex]

  • [tex]6x - 5(20 - 2x) = 12[/tex]

  • [tex]6x - 100 + 10x = 12[/tex]

  • [tex]16x = 12 + 100[/tex]

  • [tex]x = \dfrac{112}{16} [/tex]

  • [tex]x = 7[/tex]

[tex] \underline{ \underline{ \bf{step} -3}}[/tex]

plugging the value of x in first equation,

  • [tex]2x + y = 20[/tex]

  • [tex](2 \times 7) + y = 20[/tex]

  • [tex]14 + y = 20[/tex]

  • [tex]y = 20 - 14[/tex]

  • [tex]y = 6[/tex]

Conclusion :

  • [tex]x = 7[/tex]
  • [tex]y = 6[/tex]

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