Question

Solve the following equation by using the addition principle. Check the solution.

-4/5 + y = -1/4

Answer 1

Explanation:

`- (4)/(5) + y = - (1)/(4) \\ y = ( - 1)/(4) + (4)/(5) \\ y = ( - 5 + 16)/(20) \\ y = (11)/(20)`

`y = (11)/(20)`

Answer 2

y = 11/20

Explanation:

-4/5 + y = -1/4

Add 4/5 to each side

-4/5 +4/5 + y = -1/4+4/5

y = -1/4 + 4/5

Get a common denominator

y = -1/4 *5/5 + 4/5 *4/4

y = -5/20 + 16/20

y = 11/20

Check

-4/5 +11/20 = -1/4

Get a common denominator

-4/5*4/4 + 11/20 = -1/4*5/5

-16/20 +11/20 = -5/20

-5/20 = - 5/20

Check