Question

Translate and solve the following difference of -2 D + -3 D is equal to the difference of 1/6 + 1/3

Answer 1

We are asked to translate a word problem to an algebraic equation and then solve it.

The difference of -2d and -3d is equal to the difference of 1/6 and 1/3

We know that difference means subtraction.

So the algebraic equation becomes

`-2d-(-3d)=(1)/(6)-(1)/(3)`

We know that negative multiply negative becomes positive

`-2d+3d=(1)/(6)-(1)/(3)`

Now let us solve this equation for d

`\begin{gathered} -2d+3d=(1)/(6)-(1)/(3) \\ d=(1)/(6)-(1)/(3) \\ d=(3-6)/(3*6) \\ d=(-3)/(3*6) \\ d=(-1)/(6) \\ d=-(1)/(6) \end{gathered}`

Therefore, the solution of the equation is d = -1/6