X+4/3y=115

Solution for X+4/3y=115 equation:

X+4/3X=115

We move all terms to the left:

X+4/3X-(115)=0


Domain of the equation: 3X!=0

X!=0/3

X!=0

X∈R


We multiply all the terms by the denominator


X*3X-115*3X+4=0

Wy multiply elements

3X^2-345X+4=0

a = 3; b = -345; c = +4;
Δ = b2-4ac
Δ = -3452-4·3·4
Δ = 118977
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-345)-\sqrt{118977}}{2*3}=\frac{345-\sqrt{118977}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-345)+\sqrt{118977}}{2*3}=\frac{345+\sqrt{118977}}{6}
$