4 p - 5 u = 13
3 p - 8 u = 34
Find the following values.
- 1 u
- 1 p
(b)
4 p - 5 u = 13 ---(1)
3 p - 8 u = 34 --- (2)
Make u the same.
(1) x 8
12 p - 40 u = 104 --- (3)
(2) x 5
15 p - 40 u = 170 --- (4)
(4) - (3)
15 p - 12 p = 170 - 104
3 p = 66
1 p = 66 ÷ 3 = 22
(a)
Substitute 1 p = 22 into (1).
4 p - 5 u = 13
4 x 22 - 5 u = 13
88 - 5 u = 13
88 - 13 = 5 u
5 u = 75
1 u = 75 ÷ 5 = 15
Answer(s): (a) 15; (b) 22