11 If $$ \frac{a}{2}=\frac{b}{5}=\frac{2 a+b}{k} $$, then $$ k=\ldots $$

Question

UpStudy AI · Accepted Answer

لحل المعادلة:

$$
\frac{a}{2} = \frac{b}{5} = \frac{2a + b}{k}
$$

نفترض أن:

$$
\frac{a}{2} = \frac{b}{5} = \frac{2a + b}{k} = c
$$

من المعادلات نحصل على:

$$
a = 2c \
b = 5c \
\frac{2(2c) + 5c}{k} = c \
\frac{4c + 5c}{k} = c \
\frac{9c}{k} = c \
k = 9
$$

إذن، قيمة $$ k $$ هي:

$$
ك = ٩
$$
$$ k = 9 $$

11 If , then