# Problem 8. (4 points)

Solve in integers: $6 x^{2}+5 x y+y^{2}=6 x+2 y+7$

Indicate the answer for which the value of $|x|+|y|$ is the greatest. Write the answer in the form ( $x ; y$ ).
# Problem 8. (4 points)

Solve in integers: $6 x^{2}+5 x y+y^{2}=6 x+2 y+7$

Indicate the answer for which the value of $|x|+|y|$ is the greatest. Write the answer in the form ( $x ; y$ ).

Answer: (-8; 25)