9y/7-9+2=5y/y-9

Simple and best practice solution for 9y/7-9+2=5y/y-9 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 9y/7-9+2=5y/y-9 equation:



9y/7-9+2=5y/y-9
We move all terms to the left:
9y/7-9+2-(5y/y-9)=0
Domain of the equation: y-9)!=0
y∈R
We add all the numbers together, and all the variables
9y/7-(5y/y-9)-7=0
We get rid of parentheses
9y/7-5y/y+9-7=0
We calculate fractions
9y^2/7y+(-35y)/7y+9-7=0
We add all the numbers together, and all the variables
9y^2/7y+(-35y)/7y+2=0
We multiply all the terms by the denominator
9y^2+(-35y)+2*7y=0
Wy multiply elements
9y^2+(-35y)+14y=0
We get rid of parentheses
9y^2-35y+14y=0
We add all the numbers together, and all the variables
9y^2-21y=0
a = 9; b = -21; c = 0;
Δ = b2-4ac
Δ = -212-4·9·0
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-21)-21}{2*9}=\frac{0}{18} =0 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+21}{2*9}=\frac{42}{18} =2+1/3 $

See similar equations:

| (X+.25x)+x=140000 | | 4x+4=(7x+5)/22 | | 3x=6x=10x | | x-(4+5x)=3/5(2x-7)+5 | | 3x+18+39=60 | | 2^(x^2-1)=0 | | 2^x^2-1=0 | | (x+3)/(5)-(1+x)/(8)=-(9)/(10) | | 15/4-8x=9 | | X-(.02x)=38600 | | (8x+7)+10=8 | | 4-(9x-9)=-10(x+1)-8 | | 28+7x=3x-4 | | 21x-26-2x=23+19x-49 | | -5x+20x=0 | | 4x=(320/8) | | 2x^2-3x+42=0 | | 3x=3x+2-2 | | 3x^2=1600 | | 4v^2-24v-21=0 | | 3x2-23x-36=0 | | 2y^-2+11y-6=0 | | 2y^2+11y^)-6=0 | | 5(3.5-2x)^2=x^2 | | -6x^2+100x=0 | | 2y(-2)+11y(-1)-6=0 | | -7w-42=-3(w+6) | | 4y-11y-6=0 | | 15x+230=0 | | 2y^-2+11y^-1-6=0 | | (X+1)/3=(2x-3)/7 | | (7x-5)/4=3/8 |

Equations solver categories