Question

cum rezolv a_2 = b_4 = 3a + 5b = 52​

Answer 1

Răspuns:

Explicație pas cu pas:

a/2 = b/4 = k ⇒   a = 2 k   si b = 4 k

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3 a + 5 b = 52

3 × 2 k + 5 × 4 k = 52

6 k + 20 k = 52

26 k = 52

k = 52 : 26        ⇒    k = 2

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a = 2 × 2    ⇒  a = 4

b = 4 × 2    ⇒  b = 8

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Verific:  

4/2 = 8/4 = 2 √

3 × 4 + 5 × 8 = 12 + 40 = 52 √