Question

Question #81a9b

Answer 1

`"Undefined"` & hence this is an inconsistent equation.

Explanation:

`(x + 3) - (x - 3) = 1`

`(x + 3 - x + 3) = 1`

`(x - x + 3 + 3) = 1`

`0 + 6 = 1 rArr "Undefined"`

The equations having no solution are called inconsistent equations.

Hence,this is an "inconsistent equation".

Answer 2

This is an inconsistent equation with no real solution of `x`.

Explanation:

`(x+3)-(x-3)=1`
`cancelx + color(red)3 cancel(-x)+ color(red)3=1`
`6=1`
Subtract both sides by `color(red)(6)`
`cancel6 cancelcolor(red)(-6) = 1 color(red)(-6)`
`0=-5`

There are no solutions.

The equations having no solution are called inconsistent equations.

Hence,this is an " inconsistent equation".