# (1/3)y=25

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## Solution for (1/3)y=25 equation:

(1/3)y=25
We move all terms to the left:
(1/3)y-(25)=0
Domain of the equation: 3)y!=0
y!=0/1
y!=0
y∈R
We add all the numbers together, and all the variables
(+1/3)y-25=0
We multiply parentheses
y^2-25=0
a = 1; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·1·(-25)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10}{2*1}=\frac{-10}{2} =-5$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10}{2*1}=\frac{10}{2} =5$