2/3y=54,y=81

Solution for 2/3y=54,y=81 equation:

2/3y=54.y=81

We move all terms to the left:

2/3y-(54.y)=0


Domain of the equation: 3y!=0

y!=0/3

y!=0

y∈R


We add all the numbers together, and all the variables

2/3y-(+54.y)=0

We get rid of parentheses

2/3y-54.y=0

We multiply all the terms by the denominator


-(54.y)*3y+2=0

We add all the numbers together, and all the variables

-(+54.y)*3y+2=0

We multiply parentheses

-162y^2+2=0

a = -162; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-162)·2
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36}{2*-162}=\frac{-36}{-324}
=1/9
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*-162}=\frac{36}{-324}
=-1/9
$