Question

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

(answers on pictures)

Answer 1

it's 1 & 3 I answered it online

Answer 2

Options (1) and (4)

Explanation:

Given expression in the question is,

`(1)/(5)+(2)/(3)|2 - x|=(4)/(15)`

By distribution property,

`(1)/(5)+|(4)/(3)-(2x)/(3)|=(4)/(15)`

Subtract
`(1)/(5)` from both the sides of the equation,

`(1)/(5)+|(4)/(3)-(2x)/(3)|-(1)/(5)=(4)/(15)-(1)/(5)`

`|(4)/(3)-(2x)/(3)|=(4)/(15)-(1)/(5)`

`|(4)/(3)-(2x)/(3)|=(4)/(15)-(3)/(15)`

`(2)/(3)|2-x|=(1)/(15)`

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