6 u - 12 = 8 p
7 u - 23 = 9 p
Find the following values.
- 1 u
- 1 p
6 u - 12 = 8 p --- (1)
7 u - 23 = 9 p --- (2)
Make p the same.
(1) x 9
54 u - 108 = 72 p --- (3)
(2) x 8
56 u - 184 = 72 p --- (4)
(4) = (3)
56 u - 184 = 54 u - 108
56 u - 54 u = 184 - 108
2 u = 76
1 u = 76 ÷ 2 = 38
(b)
Substitute 1 u = 38 into (1).
6 u - 12 = 8 p
6 x 38 - 12 = 8 p
228 - 12 = 8 p
8 p = 216
1 p = 216 ÷ 8 = 27
Answer(s): (a) 54; (b) 27