Sweets

Three chocolate and seven cakes cost 85 CZK. Two chocolates and six cakes cost 86 CZK. How much are five chocolates and nine cakes?

I wonder how to get the result, but only by logic, without using a system of equations.

Correct answer:

x =  123

Step-by-step explanation:

3a+7b=85 6a+2b=86  3 a+7 b=85 6 a+2 b=86  3a+7b=85 6a+2b=86  Pivot:Row1Row2 6a+2b=86 3a+7b=85  Row263 Row1Row2 6a+2b=86 6b=42  b=642=7 a=6862b=6862 7=12  a=12 b=7  x=5 a+9 b=5 12+9 7=123 Kc



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