Question

Найдите корни уравнений 4 5/9-1/6х=5(1+0,1х)

Answer 1

Hence, the root of the equation is
`(-2)/(3)`

Explanation:

We are given a linear equation as:

`4(5)/(9)-(1)/(6)x=5(1+0.1x)`

This equation could also be written as:

`(41)/(9)-(1)/(6)x=5(1+0.1x)\\\\(41*2-x*3)/(18)=5(1+0.1x)`

Taking 18 as lcm on left hand side.

`82-3x=90(1+0.1x)`

`82-3x=90+9x\\\\9x+3x=82-90\\\\12x=-8\\\\x=(-2)/(3)`

Hence, the root of the equation is
`(-2)/(3)`