Question

Find the root of the equations: 1/6x-1/6-2/9x-1 1/9=-2


Plzz explain

Answer 1

x=13

Explanation:

we have

`(1)/(6)x-(1)/(6)-(2)/(9)x-1(1)/(9)=-2`

Convert mixed number to an improper fraction

`1(1)/(9)=1+(1)/(9)=(9*1+1)/(9)=(10)/(9)`

substitute in the equation

`(1)/(6)x-(1)/(6)-(2)/(9)x-(10)/(9)=-2`

Find out the LCM of 6 and 9

LCM=18

Multiply by 18 both sides to remove the fractions (multiplication property of equality)

`(18)(1)/(6)x-(18)(1)/(6)-(18)(2)/(9)x-(18)(10)/(9)=-2(18)`

`3x-3-4x-20=-36`

Combine like terms left side

`-x-23=-36`

`x=36-23\\x=13`