Question

`(d-2)/4 = (d-1)/3` Solve?

Answer 1

`d=-2`

Explanation:

Given equation:

`\frac{d-2}{4}=\frac{d-1}{3}`

`3(d-2)=4(d-1)`

`3d-6=4d-4`

`4d-3d=-6+4`

`d=-2`

Answer 2

`d=-2`

Explanation:

`"multiply both sides by the lowest common multiple"`
`"of 4 and 3 which is 12"`

`cancel(12)^3(d-2)/cancel(4)^1=cancel(12)^4(d-1)/cancel(3)^1`

`3(d-2)=4(d-1)larrcolor(blue)"distribute both sides"`

`3d-6=4d-4`

`"subtract "4d" from both sides"`

`3d-4d-6=-4`

`-d-6=-4`

`"add 6 to both sides"`

`-d=-4+6`

`-d=2rArrd=-2`