Answer:
s = 4
Explanation:
Solve for s:
8 s - 10 = 34 - 3 s
Add 3 s to both sides:
8 s + 3 s - 10 = (3 s - 3 s) + 34
3 s - 3 s = 0:
8 s + 3 s - 10 = 34
8 s + 3 s = 11 s:
11 s - 10 = 34
Add 10 to both sides:
11 s + (10 - 10) = 10 + 34
10 - 10 = 0:
11 s = 34 + 10
34 + 10 = 44:
11 s = 44
Divide both sides of 11 s = 44 by 11:
(11 s)/11 = 44/11
11/11 = 1:
s = 44/11
The gcd of 44 and 11 is 11, so 44/11 = (11×4)/(11×1) = 11/11×4 = 4:
Answer: s = 4