Question

a/3=b/4=c/6=4a+b-3c/x, then what is the value of x

Answer 1

x=-2 I think see the image

Answer 2

Answer:

The value of x is -2.

Step-by-step explanation:

Here, the given expression is,

$\frac{a}{3}=\frac{b}{4}=\frac{c}{6}=\frac{4a+b-3c}{x}$

When,

$\frac{a}{3}=\frac{b}{4}$

$\implies b = \frac{4a}{3}$ ---------(1)

When,

$\frac{a}{3}=\frac{c}{6}$

$\implies c=2a$ -------(2),

Now,

$\frac{a}{3}=\frac{4a-b-3c}{x}$

From equation (1) and (2),

$\frac{a}{3}=\frac{4a-\frac{4a}{3}-3\times 2a}{x}$

$\implies \frac{a}{3}=\frac{12a-4a-18a}{3x}$

$\implies 3ax=3\times -2a$

$\implies 3ax = -6a$

$\implies x = \frac{-6a}{3a}=-2$

Hence, the value of x is -2.