5 H + 3 J = 30
6 H + 4 J = 38
Fill in the blanks.
- 1 H + 1 J = _____
- 1 H = _____
- 1 J = _____
(a)
5 H + 3 J = 30 --- (1)
6 H + 4 J = 38 --- (2)
(2) - (1)
(6 H + 4 J) - (5 H + 3 J) = 38 - 30
6 H - 5 H + 4 J - 3 J = 8
1 H + 1 J = 8 --- (3)
1 H + 1 J = 8
(b)
Make J the same.
LCM of 1 and 3 = 3
(3) x 3
3 H + 3 J = 24 --- (4)
(1) - (4)
(5 H + 3 J) - (3 H + 3 J) = 30 - 24
5 H - 3 H + 3 J - 3 J = 6
2 H = 6
1 H = 6 ÷ 2 = 3
(c)
Substitute 1 H = 3 into (3).
1 H + 1 J = 8
3 + 1 J = 8
1 J = 8 - 3 = 5
Answer(s): (a) 8; (b) 3; (c) 5