-3/5y+7+4y=24

Solution for -3/5y+7+4y=24 equation:

-3/5y+7+4y=24

We move all terms to the left:

-3/5y+7+4y-(24)=0


Domain of the equation: 5y!=0

y!=0/5

y!=0

y∈R


We add all the numbers together, and all the variables

4y-3/5y-17=0

We multiply all the terms by the denominator


4y*5y-17*5y-3=0

Wy multiply elements

20y^2-85y-3=0

a = 20; b = -85; c = -3;
Δ = b2-4ac
Δ = -852-4·20·(-3)
Δ = 7465
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{-(-85)-\sqrt{7465}}{2*20}=\frac{85-\sqrt{7465}}{40}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-85)+\sqrt{7465}}{2*20}=\frac{85+\sqrt{7465}}{40}
$