What is the value of x in the equation - (2)/(9) x = (2)/(5) ​

Question

What is the value of x in the equation

`- (2)/(9) x = (2)/(5)`
​

Answer 1

-9/5

Explanation:

Given equation:

`-(2)/(9) x = (2)/(5)`

Multiply -9 on both sides to cancel the denominator on the L.H.S:

`-9 * -(2)/(9) x = (2)/(5) * -9`

`2 x = (-18)/(5)`

Divide 2 on both sides to isolate the x-variable.

`(2x)/(2)= (-18)/(5) / 2 = (-18)/(5) * (1)/(2)`

`x= (-18)/(5) * (1)/(2) = (-18)/(10) = (-9)/(5)`

Therefore, the value of x in the equation is -9/5.

Answer 2

`x = -(9)/(5)`

Explanation:

`-(2)/(9)x = (2)/(5)`

Multiply both sides by the reciprocal of -2/9 which is -9/2.

`-(9)/(2) * (-(2)/(9))x = -(9)/(2) * (2)/(5)`

`x = -(18)/(10)`

`x = -(9)/(5)`