80+(5/16)y=100

Solution for 80+(5/16)y=100 equation:

80+(5/16)y=100

We move all terms to the left:

80+(5/16)y-(100)=0


Domain of the equation: 16)y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

(+5/16)y+80-100=0

We add all the numbers together, and all the variables

(+5/16)y-20=0

We multiply parentheses

5y^2-20=0

a = 5; b = 0; c = -20;
Δ = b2-4ac
Δ = 02-4·5·(-20)
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*5}=\frac{-20}{10}
=-2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*5}=\frac{20}{10}
=2
$