Answer:
x=1, y=1.
Step-by-step explanation:
From the second equation:
x = 8 - 7y, so substituting for x in the first equation:
3/8(8 - 7y) + 1/3y = 17/24
3 - 21/8 y + 1/3y = 17/24
1/3y - 21/8y = 17/24 - 3
Multiply through by 24:
8y - 21*3 y = 17 - 72
8y - 63y = -55
-55y = -55
y = 1.
And substituting for y in the second equation:
x + 7(1) = 8
x = 8 - 7
x = 1.