Question

Evaluate$x=-2,y=3:\frac{\left|3x-4y\right|}{6}$

Short answer

The value of the given question is 3

Step-by-step solution

. Given information

Given that $x=-2andy=3:\frac{\left|3x-4y\right|}{6}$

We have to find the value of given expression putting$x=-2andy=3$

. Evaluating the expression

Replace $x=-2andy=3$in the given expression we get

$$\begin{gathered} \frac{\left|3x-4y\right|}{6}=\left|\frac{3\times -2-4\times 3}{6}\right| \\ =\frac{\left|-6-12\right|}{6} \\ =\frac{\left|-18\right|}{6} \\ =\frac{18}{6} \\ =3 \end{gathered}$$

$$\begin{gathered} x=-2andy=3in\frac{\left|3x-4y\right|}{6} \\ \frac{\left|3\times -2-4\times 3\right|}{6}=\frac{\left|-6-12\right|}{6} \\ =\frac{\left|-18\right|}{6},\left|-18\right|=18 \\ =\frac{18}{6} \\ =3 \end{gathered}$$