4/3y-y=15

Solution for 4/3y-y=15 equation:

4/3y-y=15

We move all terms to the left:

4/3y-y-(15)=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+4/3y-15=0

We multiply all the terms by the denominator


-1y*3y-15*3y+4=0

Wy multiply elements

-3y^2-45y+4=0

a = -3; b = -45; c = +4;
Δ = b2-4ac
Δ = -452-4·(-3)·4
Δ = 2073
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{-(-45)-\sqrt{2073}}{2*-3}=\frac{45-\sqrt{2073}}{-6}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+\sqrt{2073}}{2*-3}=\frac{45+\sqrt{2073}}{-6}
$