Respuesta :

Step-by-step explanation:

Substitute x = -2y + 9 in the first equation to find y:

[tex]6( - 2y + 9) + y = - 59[/tex]

Use the Distributive Property:

[tex] - 12y + 54 + y = - 59[/tex]

[tex] - 11y + 54 = - 59[/tex]

Subtract 54 from both sides:

[tex] - 11y = - 113[/tex]

Divide each side by -11:

[tex]y = 10 \frac{3}{11} [/tex]

Substitute y = 10 3/11 into the second equation:

[tex]x = - 2(10 \frac{3}{11} ) + 9[/tex]

Multiply:

[tex]x = - 20 \frac{6}{11} + 9[/tex]

[tex]x = - 11\frac{6}{11} [/tex]

Solution point:

(-11 6/11, 10 3/11)

Solution :

  • The value of x = [tex] \sf \dfrac{ - 127}{11} [/tex]

  • The value of y = [tex] \sf \: \dfrac{113}{11} [/tex]

For better understanding refer to the attachment!

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