Question

Make d the subject of the formula where d is positive
-5d + y = 6dc + 5a

Answer 1

d =
`(y-5a)/(5+6c)`

Explanation:

Given

- 5d + y = 6dc + 5a ( subtract 6dc from both sides )

- 5d - 6dc = 5a - y ← factor out - d from each term on the left

- d(5 + 6c) = 5a - y ( multiply through by - 1 )

d(5 + 6c) = y - 5a ← divide both sides by (5 + 6c)

d =
`(y-5a)/(5+6c)`

Answer 2

`d = (y - 5a)/(5 + 6c)` if 5 + 6c is not 0.

Explanation:

-5d + y = 6dc + 5a

first let's move all d's to one side and the rest to the other

-5d -6dc = 5a - y

5d + 6dc = y - 5a

d(5 + 6c) = y - 5a

if (5 + 6c) isn't 0:

`d = (y - 5a)/(5 + 6c)`