Answer :
Answer:
Hence, the root of the equation is [tex]\dfrac{-2}{3}[/tex]
Step-by-step explanation:
We are given a linear equation as:
[tex]4\frac{5}{9}-\dfrac{1}{6}x=5(1+0.1x)[/tex]
This equation could also be written as:
[tex]\dfrac{41}{9}-\dfrac{1}{6}x=5(1+0.1x)\\\\\dfrac{41\times2-x\times3}{18}=5(1+0.1x)[/tex]
Taking 18 as lcm on left hand side.
[tex]82-3x=90(1+0.1x)[/tex]
[tex]82-3x=90+9x\\\\9x+3x=82-90\\\\12x=-8\\\\x=\dfrac{-2}{3}[/tex]
Hence, the root of the equation is [tex]\dfrac{-2}{3}[/tex]