Y/y-3=2y-7

Solution for Y/y-3=2y-7 equation:

/Y-3=2Y-7

We move all terms to the left:

/Y-3-(2Y-7)=0


Domain of the equation: Y!=0

Y∈R


We get rid of parentheses

/Y-2Y+7-3=0

We multiply all the terms by the denominator


-2Y*Y+7*Y-3*Y+=0

We add all the numbers together, and all the variables

4Y-2Y*Y=0

Wy multiply elements

-2Y^2+4Y=0

a = -2; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-2)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*-2}=\frac{-8}{-4}
=+2
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-2}=\frac{0}{-4}
=0
$