Question

{x/6=y/3
{x/10=y/5
x,y=?.

Answer 1

Răspuns:

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Explicație pas cu pas:

$\frac{x}{6} = \frac{y}{3} \leftrightarrow \: 3x = 6y \\ \\ \frac{x}{10} = \frac{y}{5} \: \leftrightarrow \: 5x = 10y \\ \\ x = 2y \\ \\ \leftrightarrow \: c.m.m.m.c \: (3 \: 5 \: 6 \: 10) = 30 \: \\ \\ deci \: 30 \in \large \: m15 \: considerand \\ \\ x = 2y \\ \\ \to \: x \in \{15k_1 \times 2 \: ... \: 15k_n \times 2\} \\ \\ \to \: y \: \in \{15k_1 \: ... \: 15k_n\}$