Sheep and cows

There are only sheep and cows on the farm. Sheep are eight more than cows. The number of cows is half the number of sheep. How many animals live on the farm?

Correct answer:

x =  24

Step-by-step explanation:


x= o+k
o=8+k
k=o/2

k+o-x = 0
k-o = -8
2k-o = 0

Pivot: Row 1 ↔ Row 3
2k-o = 0
k-o = -8
k+o-x = 0

Row 2 - 1/2 · Row 1 → Row 2
2k-o = 0
-0.5o = -8
k+o-x = 0

Row 3 - 1/2 · Row 1 → Row 3
2k-o = 0
-0.5o = -8
1.5o-x = 0

Pivot: Row 2 ↔ Row 3
2k-o = 0
1.5o-x = 0
-0.5o = -8

Row 3 - -0.5/1.5 · Row 2 → Row 3
2k-o = 0
1.5o-x = 0
-0.333x = -8


x = -8/-0.33333333 = 24
o = 0+x/1.5 = 0+24/1.5 = 16
k = 0+o/2 = 0+16/2 = 8

k = 8
o = 16
x = 24

Our linear equations calculator calculates it.



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Showing 1 comment:
Math student
is it 24





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