Grandfather gathered apples into baskets. He filled one large and three small baskets. Small baskets are identical and each can hold 3 kg of apples less than in a large basket. In small baskets together 3 kg of apples over a large basket. How many kilograms of apples grandfather gathered?

x =  15 kg

### Step-by-step explanation:

x=v+3m
m = v-3
3m = 3+v

x=v+3·m
m = v-3
3·m = 3+v

3m+v-x = 0
m-v = -3
3m-v = 3

Row 2 - 1/3 · Row 1 → Row 2
3m+v-x = 0
-1.333v+0.333x = -3
3m-v = 3

Row 3 - Row 1 → Row 3
3m+v-x = 0
-1.333v+0.333x = -3
-2v+x = 3

Pivot: Row 2 ↔ Row 3
3m+v-x = 0
-2v+x = 3
-1.333v+0.333x = -3

Row 3 - -1.33333333/-2 · Row 2 → Row 3
3m+v-x = 0
-2v+x = 3
-0.333x = -5

x = -5/-0.33333333 = 15
v = 3-x/-2 = 3-15/-2 = 6
m = 0-v+x/3 = 0-6+15/3 = 3

m = 3
v = 6
x = 15

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