Question

Which equations are equivalent to 1/5+2/3 |2-x|= 4 ? Check all that apply. (answers on pictures)

Answer 1

Answer:

Options (1) and  (4)

Step-by-step explanation:

Given expression in the question is,

$\frac{1}{5}+\frac{2}{3}|2 - x|=\frac{4}{15}$

By distribution property,

$\frac{1}{5}+|\frac{4}{3}-\frac{2x}{3}|=\frac{4}{15}$

Subtract $\frac{1}{5}$ from both the sides of the equation,

$\frac{1}{5}+|\frac{4}{3}-\frac{2x}{3}|-\frac{1}{5}=\frac{4}{15}-\frac{1}{5}$

$|\frac{4}{3}-\frac{2x}{3}|=\frac{4}{15}-\frac{1}{5}$

$|\frac{4}{3}-\frac{2x}{3}|=\frac{4}{15}-\frac{3}{15}$

$\frac{2}{3}|2-x|=\frac{1}{15}$

Therefore, Options (1) and (4) will be answer.

Answer 2

Answer:

it's 1 & 3 I answered it online