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 :
For better understanding refer to the attachment!