3/5y-2y=-7/5y

Solution for 3/5y-2y=-7/5y equation:

3/5y-2y=-7/5y

We move all terms to the left:

3/5y-2y-(-7/5y)=0


Domain of the equation: 5y!=0

y!=0/5

y!=0

y∈R



Domain of the equation: 5y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

-2y+3/5y-(-7/5y)=0

We get rid of parentheses

-2y+3/5y+7/5y=0

We multiply all the terms by the denominator


-2y*5y+3+7=0

We add all the numbers together, and all the variables

-2y*5y+10=0

Wy multiply elements

-10y^2+10=0

a = -10; b = 0; c = +10;
Δ = b2-4ac
Δ = 02-4·(-10)·10
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20}{2*-10}=\frac{-20}{-20}
=1
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*-10}=\frac{20}{-20}
=-1
$