35=7/5*y

Solution for 35=7/5*y equation:

35=7/5*y

We move all terms to the left:

35-(7/5*y)=0


Domain of the equation: 5*y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

-(+7/5*y)+35=0

We get rid of parentheses

-7/5*y+35=0

We multiply all the terms by the denominator


35*5*y-7=0

Wy multiply elements

175y*y-7=0

Wy multiply elements

175y^2-7=0

a = 175; b = 0; c = -7;
Δ = b2-4ac
Δ = 02-4·175·(-7)
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-70}{2*175}=\frac{-70}{350}
=-1/5
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+70}{2*175}=\frac{70}{350}
=1/5
$