Zdeněk 4090

Petr scored 18 points, Jirka half, Roman scored 3 points less than Petr, and Zdenek one point less than Jirka. Find out how many points Zdenek got.

Correct answer:

z =  8

Step-by-step explanation:


p=18
j=p/2
r=p-2
z=j-1

p = 18
2j-p = 0
p-r = 2
j-z = 1

Pivot: Row 1 ↔ Row 2
2j-p = 0
p = 18
p-r = 2
j-z = 1

Row 4 - 1/2 · Row 1 → Row 4
2j-p = 0
p = 18
p-r = 2
0.5p-z = 1

Row 3 - Row 2 → Row 3
2j-p = 0
p = 18
-r = -16
0.5p-z = 1

Row 4 - 0.5 · Row 2 → Row 4
2j-p = 0
p = 18
-r = -16
-z = -8


z = -8/-1 = 8
r = -16/-1 = 16
p = 18/1 = 18
j = 0+p/2 = 0+18/2 = 9

j = 9
p = 18
r = 16
z = 8

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