Respuesta :

Answer:

(0,-8/3)

Step-by-step explanation:

2x-3y=8

x-3y=8

Multiply the second equation by -1 and add together

2x-3y=8

-x+3y=-8

---------------------

x +0y =0

x=0

Now we can find y

2x -3y =8

0-3y =8

Divide by -3

-3y/-3 = 8/-3

y = -8/3

(0,-8/3)

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given equations are :

  • [tex]2x - 3y = 8[/tex]

  • [tex]x - 3y = 8[/tex]

now, let's substract second equation from first equation :

  • [tex]2x - 3y - (x - 3y) = 8 - 8[/tex]

  • [tex]2x - 3y - x + 3y = 0[/tex]

  • [tex]x = 0[/tex]

now, plug value of x as 0 in the second equation to find value of y :

  • [tex]x - 3y = 8[/tex]

  • [tex]0 - 3y = 8[/tex]

  • [tex] - 3y = 8[/tex]

  • [tex]y = - \dfrac{8}{3} [/tex]

So, the solution of given pair of linear equations is :

  • [tex]\boxed{ \boxed{0, - \frac{8}{3} }}[/tex]
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