19/35y=y

Solution for 19/35y=y equation:

19/35y=y

We move all terms to the left:

19/35y-(y)=0


Domain of the equation: 35y!=0

y!=0/35

y!=0

y∈R


We add all the numbers together, and all the variables

-1y+19/35y=0

We multiply all the terms by the denominator


-1y*35y+19=0

Wy multiply elements

-35y^2+19=0

a = -35; b = 0; c = +19;
Δ = b2-4ac
Δ = 02-4·(-35)·19
Δ = 2660
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2660}=\sqrt{4*665}=\sqrt{4}*\sqrt{665}=2\sqrt{665}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{665}}{2*-35}=\frac{0-2\sqrt{665}}{-70}
=-\frac{2\sqrt{665}}{-70}
=-\frac{\sqrt{665}}{-35}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{665}}{2*-35}=\frac{0+2\sqrt{665}}{-70}
=\frac{2\sqrt{665}}{-70}
=\frac{\sqrt{665}}{-35}
$