5 W + 2 X = 26
6 W + 3 X = 33
Fill in the blanks.
- 1 W + 1 X = _____
- 1 W = _____
- 1 X = _____
(a)
5 W + 2 X = 26 --- (1)
6 W + 3 X = 33 --- (2)
(2) - (1)
(6 W + 3 X) - (5 W + 2 X) = 33 - 26
6 W - 5 W + 3 X - 2 X = 7
1 W + 1 X = 7 --- (3)
1 W + 1 X = 7
(b)
Make X the same.
LCM of 1 and 2 = 2
(3) x 2
2 W + 2 X = 14 --- (4)
(1) - (4)
(5 W + 2 X) - (2 W + 2 X) = 26 - 14
5 W - 2 W + 2 X - 2 X = 12
3 W = 12
1 W = 12 ÷ 3 = 4
(c)
Substitute 1 W = 4 into (3).
1 W + 1 X = 7
4 + 1 X = 7
1 X = 7 - 4 = 3
Answer(s): (a) 7; (b) 4; (c) 3