40 + 4 u = 6 p
9 u - 29 = 5 p
Find the following values.
- 1 u
- 1 p
(a)
40 + 4 u = 6 p --- (1)
9 u - 29 = 5 p --- (2)
Make p the same.
(1) x 5
200 + 20 u = 30 p --- (3)
(2) x 6
54 u - 174 = 30 p --- (4)
(4) = (3)
54 u - 174 = 200 + 20 u
54 u - 20 u = 200 + 174
34 u = 374
1 u = 374 ÷ 34 = 11
(b)
Substitute 1 u = 11 into (2).
9 u - 29 = 5 p
9 x 11 - 29 = 5 p
99 - 29 = 5 p
70 = 5 p
1 p = 70 ÷ 5 = 14
Answer(s): (a) 11; (b) 14