5 H + 3 J = 37
6 H + 4 J = 46
Fill in the blanks.
- 1 H + 1 J = _____
- 1 H = _____
- 1 J = _____
(a)
5 H + 3 J = 37 --- (1)
6 H + 4 J = 46 --- (2)
(2) - (1)
(6 H + 4 J) - (5 H + 3 J) = 46 - 37
6 H - 5 H + 4 J - 3 J = 9
1 H + 1 J = 9 --- (3)
1 H + 1 J = 9
(b)
Make J the same.
LCM of 1 and 3 = 3
(3) x 3
3 H + 3 J = 27 --- (4)
(1) - (4)
(5 H + 3 J) - (3 H + 3 J) = 37 - 27
5 H - 3 H + 3 J - 3 J = 10
2 H = 10
1 H = 10 ÷ 2 = 5
(c)
Substitute 1 H = 5 into (3).
1 H + 1 J = 9
5 + 1 J = 9
1 J = 9 - 5 = 4
Answer(s): (a) 9; (b) 5; (c) 4