Two bags of sugar and three bags of flour weight 41 pounds. however, three bags of sugar and two bags of flour weight 44 pounds. what is the weight of a bgs of sugar and flour together?

Simultaneous Equations

2s + 3f = 41
3s + 2f = 44

(x2) 4s + 6f = 82
(x3) 9s + 6f = 132

'If the signs are the same, subtract'

4s - 9s = -5s
82 - 132 = -50
-5s = -50 Therefore s = 10

Now, substitute back into the equation

(2 x 10) + 3f = 41
20 + 3f = 41

Balance the equation: subtract 20 from both sides
41 - 20 = 21

3f = 21

3f/3 = f
21/3 = 7
f = 7

s + f = x
10 + 7 = 17 pounds