6 V + 3 W = 33
7 V + 4 W = 41
Fill in the blanks.
- 1 V + 1 W = _____
- 1 V = _____
- 1 W = _____
(a)
6 V + 3 W = 33 --- (1)
7 V + 4 W = 41 --- (2)
(2) - (1)
(7 V + 4 W) - (6 V + 3 W) = 41 - 33
7 V - 6 V + 4 W - 3 W = 8
1 V + 1 W = 8 --- (3)
1 V + 1 W = 8
(b)
Make W the same.
LCM of 1 and 3 = 3
(3) x 3
3 V + 3 W = 24 --- (4)
(1) - (4)
(6 V + 3 W) - (3 V + 3 W) = 33 - 24
6 V - 3 V + 3 W - 3 W = 9
3 V = 9
1 V = 9 ÷ 3 = 3
(c)
Substitute 1 V = 3 into (3).
1 V + 1 W = 8
3 + 1 W = 8
1 W = 8 - 3 = 5
Answer(s): (a) 8; (b) 3; (c) 5