Question

Question #287d5

Answer 1

`x = -15.6`

Explanation:

`(2x)/(-2.6) = 12`

`=> (2x)/cancel(-2.6)xxcancel(-2.6) = 12xx-2.6`

`=> 2x = -31.2`

`=> (cancel(2)x)/cancel(2) = (-31.2)/2`

`:. x = -15.6`

Answer 2

`x= - 15.6`

Explanation:

A 'quotient' is the answer of a division.

So breaking the question down into its component parts:

The quotient of `" "->?/?=`

two times a number `x" " ->(2x)/?=`

and -2.6 `" "->(2x)/(-2.6)=`

is 12 `" "->(2x)/(-2.6)=12`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Multiply both sides by `(-1)` giving:

`(2x)/(2.6)=-12`

Multiply both sides by 2.6

`2.6/2.6xx2x=(-12)xx2.6`

But `2.6/2.6=1 " and "-12xx2.6=-31.2`

`2x=-31.2`

divide both sides by 2

`2/2xx x=- 31.2/2`

`x= - 15.6`