-y+2/3y=9

Solution for -y+2/3y=9 equation:

-y+2/3y=9

We move all terms to the left:

-y+2/3y-(9)=0


Domain of the equation: 3y!=0

y!=0/3

y!=0

y∈R


We add all the numbers together, and all the variables

-1y+2/3y-9=0

We multiply all the terms by the denominator


-1y*3y-9*3y+2=0

Wy multiply elements

-3y^2-27y+2=0

a = -3; b = -27; c = +2;
Δ = b2-4ac
Δ = -272-4·(-3)·2
Δ = 753
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-\sqrt{753}}{2*-3}=\frac{27-\sqrt{753}}{-6}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+\sqrt{753}}{2*-3}=\frac{27+\sqrt{753}}{-6}
$