Question

How do you solve and check your solutions to `16-2.4d=-8`?

Answer 1

`d=10`

Explanation:

To solve a linear equation like `16-2.4d=-8`, we should all constant terms to one side and variable term to other side. Here we have two negative terms `-2.4d` and `-8`, so we add `2.4d+8` on both sides, which gives us

`16-2.4d+2.4d+8=2.4d+8-8` or

`16-cancel(2.4d)+cancel(2.4d)+8=2.4d+cancel8-cancel8` or

`16+8=2.4d` and reversing LHS and RHS, we get

`2.4d=24` or

`d=24-:2.4=24-:24/10=24xx10/24=cancel24xx10/cancel24=10`

Hence, `d=10`.

To check the answer, let us put `d=10` in LHS. Then

`LHS=16-2.4d=16-2.4xx10=16-24=-8=RHS`

Hence the solution `d=10` is correct.