Respuesta :

x = 4
The first equation can be substituted into the second one. It would be: 2(-2x+5)=x-10 and after solving it, x = 4

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The given equations are :

  • [tex]2x + y = 5[/tex]

  • [tex]2y = x - 10[/tex]

From the first equation, we get :

  • [tex]2x + y = 5[/tex]

  • [tex]y = 5 - 2x[/tex]

now, let's put the value of y as (5 - 2x) in second equation to find the value of x :

  • [tex]2y = x - 10[/tex]

  • [tex]2(5 - 2x) = x - 10[/tex]

  • [tex]10 - 4x = x - 10[/tex]

  • [tex]5x = 20[/tex]

  • [tex]x = 4[/tex]

hence, value of x = 4, Plugging the value of x in second equation :

  • [tex]2y = x - 10[/tex]

  • [tex]2y = 4 - 10[/tex]

  • [tex]2y = - 6[/tex]

  • [tex]y = - 3[/tex]

so, the required values are :

  • x = 4

  • y = -3