Stamps and albums

Michail has in three albums stored 170 stamps. In the first album, there are 14 more than in the second, and in the second is by 1/5 less than in the third. How many stamps are in the first album?

Correct answer:

x =  62

Step-by-step explanation:


170 = x+y+z
x = 14+y
y = z- z/5

x+y+z = 170
x-y = 14
5y-4z = 0

Row 2 - Row 1 → Row 2
x+y+z = 170
-2y-z = -156
5y-4z = 0

Pivot: Row 2 ↔ Row 3
x+y+z = 170
5y-4z = 0
-2y-z = -156

Row 3 - -2/5 · Row 2 → Row 3
x+y+z = 170
5y-4z = 0
-2.6z = -156


z = -156/-2.6 = 60
y = 0+4z/5 = 0+4 · 60/5 = 48
x = 170-y-z = 170-48-60 = 62

x = 62
y = 48
z = 60

Our linear equations calculator calculates it.



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