Multivitamin 2749

We paid a total of 290 CZK for 5 liters of orange juice and 6 liters of multivitamin juice. A liter of multivitamin juice is CZK 8 more expensive than a liter of orange juice. How much do we pay for 2 liters of orange and 3 liters of multivitamin juice?

Correct answer:

x =  134 Sk

Step-by-step explanation:


5a + 6b = 290
b = 8+a
x = 2a + 3b

5·a + 6·b = 290
b = 8+a
x = 2·a + 3·b

5a+6b = 290
a-b = -8
2a+3b-x = 0

Row 2 - 1/5 · Row 1 → Row 2
5a+6b = 290
-2.2b = -66
2a+3b-x = 0

Row 3 - 2/5 · Row 1 → Row 3
5a+6b = 290
-2.2b = -66
0.6b-x = -116

Row 3 - 0.6/-2.2 · Row 2 → Row 3
5a+6b = 290
-2.2b = -66
-x = -134


x = -134/-1 = 134
b = -66/-2.2 = 30
a = 290-6b/5 = 290-6 · 30/5 = 22

a = 22
b = 30
x = 134

Our linear equations calculator calculates it.



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