Question 515346
No it is not.

Check

(x,y)=(3/8, 1)
Put values of x and y in equation
8x - 7y = 10
8(3/8)-7(1)=10
3-7=10
-4=10 (which is not true)

Instead (3/8, 1) try (3/8, -1)
8x - 7y = 10
8(3/8)-7(-1)=10
3+7=10
10=10

so point (3/8, -1) is a solution of given equation.