6 W + 2 X = 36
7 W + 3 X = 44
Fill in the blanks.
- 1 W + 1 X = _____
- 1 W = _____
- 1 X = _____
(a)
6 W + 2 X = 36 --- (1)
7 W + 3 X = 44 --- (2)
(2) - (1)
(7 W + 3 X) - (6 W + 2 X) = 44 - 36
7 W - 6 W + 3 X - 2 X = 8
1 W + 1 X = 8 --- (3)
1 W + 1 X = 8
(b)
Make X the same.
LCM of 1 and 2 = 2
(3) x 2
2 W + 2 X = 16 --- (4)
(1) - (4)
(6 W + 2 X) - (2 W + 2 X) = 36 - 16
6 W - 2 W + 2 X - 2 X = 20
4 W = 20
1 W = 20 ÷ 4 = 5
(c)
Substitute 1 W = 5 into (3).
1 W + 1 X = 8
5 + 1 X = 8
1 X = 8 - 5 = 3
Answer(s): (a) 8; (b) 5; (c) 3