Question

Is -3 a solution to the equation `-4x+5=-7`?

Answer 1

No, but `x=3` is a solution.

Explanation:

Substitue -3 into the equation, what do you get?

`-4 *-3 +5` =`12 + 5` = `17`

Do obviously -3 is not a solution.

Find what is the solution:

Rewrite the equation by transposing the terms:

`-4x`= `-7 -5` = `-12`

Get rid of the minus signs

So `x =3`

Answer 2

`"No"`

Explanation:

`"if x = - 3 is a solution then it will satisfy the equation"`

`"substitute "x=-3" into the equation"`

`(-4xx-3)+5=12+5=17!=-7`

`rArrx=-3 " is not a solution"`

`-4x+5=-7`

`"subtract 5 from both sides"`

`-4xcancel(+5)cancel(-5)=-7-5`

`rArr-4x=-12`

`"divide both sides by "-4`

`(cancel(-4) x)/cancel(-4)=(-12)/(-4)`

`rArrx=3`

`color(blue)"Check "(-4xx3)+5=-12+5=-7" True"`

`rArrx=3" is the solution"`