y-6/7y=7

Solution for y-6/7y=7 equation:

y-6/7y=7

We move all terms to the left:

y-6/7y-(7)=0


Domain of the equation: 7y!=0

y!=0/7

y!=0

y∈R


We multiply all the terms by the denominator


y*7y-7*7y-6=0

Wy multiply elements

7y^2-49y-6=0

a = 7; b = -49; c = -6;
Δ = b2-4ac
Δ = -492-4·7·(-6)
Δ = 2569
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{-(-49)-\sqrt{2569}}{2*7}=\frac{49-\sqrt{2569}}{14}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+\sqrt{2569}}{2*7}=\frac{49+\sqrt{2569}}{14}
$