(4y)/(y-2)-(13)/(3y-6)=1/3

Simple and best practice solution for (4y)/(y-2)-(13)/(3y-6)=1/3 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 (4y)/(y-2)-(13)/(3y-6)=1/3 equation:


D( y )

3*y-6 = 0

y-2 = 0

3*y-6 = 0

3*y-6 = 0

3*y-6 = 0 // + 6

3*y = 6 // : 3

y = 6/3

y = 2

y-2 = 0

y-2 = 0

y-2 = 0 // + 2

y = 2

y in (-oo:2) U (2:+oo)

(4*y)/(y-2)-(13/(3*y-6)) = 1/3 // - 1/3

(4*y)/(y-2)-(13/(3*y-6))-(1/3) = 0

(4*y)/(y-2)-13*(3*y-6)^-1-1/3 = 0

(4*y)/(y-2)-13/(3*y-6)-1/3 = 0

(3*4*y*(3*y-6))/(3*(y-2)*(3*y-6))+(-13*3*(y-2))/(3*(y-2)*(3*y-6))+(-1*(y-2)*(3*y-6))/(3*(y-2)*(3*y-6)) = 0

3*4*y*(3*y-6)-13*3*(y-2)-1*(y-2)*(3*y-6) = 0

36*y^2-3*y^2-111*y+12*y-12+78 = 0

33*y^2-99*y+66 = 0

33*y^2-99*y+66 = 0

33*(y^2-3*y+2) = 0

y^2-3*y+2 = 0

DELTA = (-3)^2-(1*2*4)

DELTA = 1

DELTA > 0

y = (1^(1/2)+3)/(1*2) or y = (3-1^(1/2))/(1*2)

y = 2 or y = 1

33*(y-1)*(y-2) = 0

(33*(y-1)*(y-2))/(3*(y-2)*(3*y-6)) = 0

(33*(y-1)*(y-2))/(3*(y-2)*(3*y-6)) = 0 // * 3*(y-2)*(3*y-6)

33*(y-1)*(y-2) = 0

( y-1 )

y-1 = 0 // + 1

y = 1

( y-2 )

y-2 = 0 // + 2

y = 2

y in { 2}

y = 1

See similar equations:

| X/4-5=0 | | 91+9x=96+x | | 54=9/m-18 | | 45=3x-(7-x) | | 7x-2(x-9)=5(x+1)+4 | | x(24x+59)=-7 | | 3(5x-7)+8=15x-13 | | 9/8=4/5k | | am^2+bm+c=0 | | 2x+9+x=36 | | 3(x-4)=x+28 | | 8x+12y+2=30 | | 347=-3+7(6m+8) | | 15x-10=-9c+2 | | q^2+12q=0 | | -2-16x/4+5x=180 | | A^2+m^2=c^2 | | 9y-1=y/25 | | 2=2.27-.25s | | 1.25pi/15 | | .5x+3=3x-(7-2x) | | 4y=12+3(4) | | -6(-3x+7)-4x=6(x-4)-6 | | 2-6x+x=16/3 | | 4=64m^2 | | (7x-9)/(x^2-25)-(3)/(x-5)=(2)/(x-5) | | 12x=24+48v | | 3(x-3)=33 | | 4(3-2x)=2(x-4) | | 5/6x-2x+1/3-2/3=0 | | 2(5-3v)+9v=36 | | -x-6=3x+2 |

Equations solver categories