4 W + 2 X = 26
5 W + 3 X = 35
Fill in the blanks.
- 1 W + 1 X = _____
- 1 W = _____
- 1 X = _____
(a)
4 W + 2 X = 26 --- (1)
5 W + 3 X = 35 --- (2)
(2) - (1)
(5 W + 3 X) - (4 W + 2 X) = 35 - 26
5 W - 4 W + 3 X - 2 X = 9
1 W + 1 X = 9 --- (3)
1 W + 1 X = 9
(b)
Make X the same.
LCM of 1 and 2 = 2
(3) x 2
2 W + 2 X = 18 --- (4)
(1) - (4)
(4 W + 2 X) - (2 W + 2 X) = 26 - 18
4 W - 2 W + 2 X - 2 X = 8
2 W = 8
1 W = 8 ÷ 2 = 4
(c)
Substitute 1 W = 4 into (3).
1 W + 1 X = 9
4 + 1 X = 9
1 X = 9 - 4 = 5
Answer(s): (a) 9; (b) 4; (c) 5