X=6/7y+5

Solution for X=6/7y+5 equation:

X=6/7X+5

We move all terms to the left:

X-(6/7X+5)=0


Domain of the equation: 7X+5)!=0

X∈R


We get rid of parentheses

X-6/7X-5=0

We multiply all the terms by the denominator


X*7X-5*7X-6=0

Wy multiply elements

7X^2-35X-6=0

a = 7; b = -35; c = -6;
Δ = b2-4ac
Δ = -352-4·7·(-6)
Δ = 1393
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{-(-35)-\sqrt{1393}}{2*7}=\frac{35-\sqrt{1393}}{14}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+\sqrt{1393}}{2*7}=\frac{35+\sqrt{1393}}{14}
$