Question

How do you solve `\frac { x - 11} { 6} = - 1`?

Answer 1

`color(green)(x=5)`

Explanation:

Given
`color(white)("XXX")(x-11)/6=-1`

Multiply both sides by `6` to get rid of the fraction on the left side
`color(white)("XXX")x-11=-6`

Add `11` to both sides to isolate the variable `x` on the left side
`color(white)("XXX")x=5`

Answer 2

`x = +5`

Explanation:

`" "`
`If" " color(red)( a/b = c/d)" " then" " color(red)( axxd = bxxc )`
`" "`
`(x-11)/6 = -1`
`" "`
`rArr (x-11)/6 = (-1)/1`
`" "`
`rArrcolor(red)((x - 11)xx1 = -6 xx 1)" "`Applying above method
`" "`
`rArr x-11 = -6`
`" "`
`rArrx = -6 + 11`
`" "`
`rArrx = +5`

Answer 3

`x=5`

Explanation:

Multiply both sides by 6 giving:

`(x-11)xx6/6=(-1)xx6`

But `6/6=1` giving:

`x-11=-6`

Add 11 to both sides

`x-11+11=-6+11`

But `-11+11=0`

`x-0=5`

`x=5`