Answer :
-5¹/₂ + 11³/₄q = -¹/₄q + ¹/₂(8q - 1)
-5¹/₂ + 11³/₄q = -¹/₄q + ¹/₂(8q) - ¹/₂(1)
-5¹/₂ + 11³/₄q = -¹/₄q + 4q - ¹/₂
-5¹/₂ + 11³/₄q = 3³/₄q - ¹/₂
- 3³/₄q - 3³/₄q
-5¹/₂ + 8q = -¹/₂
+ 5¹/₂ + 5¹/₂
8q = 5
8 8
q = ⁵/₈
-5¹/₂ + 11³/₄q = -¹/₄q + ¹/₂(8q) - ¹/₂(1)
-5¹/₂ + 11³/₄q = -¹/₄q + 4q - ¹/₂
-5¹/₂ + 11³/₄q = 3³/₄q - ¹/₂
- 3³/₄q - 3³/₄q
-5¹/₂ + 8q = -¹/₂
+ 5¹/₂ + 5¹/₂
8q = 5
8 8
q = ⁵/₈