6 H + 4 J = 24
7 H + 5 J = 29
Fill in the blanks.
- 1 H + 1 J = _____
- 1 H = _____
- 1 J = _____
(a)
6 H + 4 J = 24 --- (1)
7 H + 5 J = 29 --- (2)
(2) - (1)
(7 H + 5 J) - (6 H + 4 J) = 29 - 24
7 H - 6 H + 5 J - 4 J = 5
1 H + 1 J = 5 --- (3)
1 H + 1 J = 5
(b)
Make J the same.
LCM of 1 and 4 = 4
(3) x 4
4 H + 4 J = 20 --- (4)
(1) - (4)
(6 H + 4 J) - (4 H + 4 J) = 24 - 20
6 H - 4 H + 4 J - 4 J = 4
2 H = 4
1 H = 4 ÷ 2 = 2
(c)
Substitute 1 H = 2 into (3).
1 H + 1 J = 5
2 + 1 J = 5
1 J = 5 - 2 = 3
Answer(s): (a) 5; (b) 2; (c) 3
