Question

Can I please get some help with this math question

Answer 1

`(2)/(5)x = (7)/(20)x + (1)/(4)`

`-(3)/(4) = -(1)/(20)x - (1)/(2)`

Explanation:

Given,

`-(3)/(4) + (2)/(5)x = (7)/(20)x - (1)/(2)`

There are two possible ways to start solving for the value of x.

✔️The first is, add both sides by ¾

`-(3)/(4) + (2)/(5)x + (3)/(4) = (7)/(20)x - (1)/(2) + (3)/(4)`

`(2)/(5)x = (7)/(20)x + (1)/(4)` (-½ + ¾ = ¼)

This equation represents the first possible way to begin with.

✔️The second is subtract both sides by ⅖x

`-(3)/(4) + (2)/(5)x - (2)/(5)x = (7)/(20)x - (1)/(2) - (2)/(5)`

`-(3)/(4) = (7)/(20)x - (2)/(5)x - (1)/(2)`

`-(3)/(4) = (7 - 8)/(20)x - (1)/(2)`

`-(3)/(4) = -(1)/(20)x - (1)/(2)`

This equation represents another way to start.