Prices prices

Factory reduced the meter of the textile by CZK 42, so 4 meters of the new price was 20 CZK cheaper than 3 meters of the original price. What was the original and new price of the textile?

Correct answer:

a =  148
b =  106

Step-by-step explanation:


a = 42 + b
4b = 3a - 20

a = 42 + b
4·b = 3·a - 20

a-b = 42
3a-4b = 20

Pivot: Row 1 ↔ Row 2
3a-4b = 20
a-b = 42

Row 2 - 1/3 · Row 1 → Row 2
3a-4b = 20
0.33b = 35.33


b = 35.33333333/0.33333333 = 106
a = 20+4b/3 = 20+4 · 106/3 = 148

a = 148
b = 106

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