(2x-3)/(x-3)=(x-2)/(x-1)

Simple and best practice solution for (2x-3)/(x-3)=(x-2)/(x-1) 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 (2x-3)/(x-3)=(x-2)/(x-1) equation: 


D( x )

x-3 = 0

x-1 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:3) U (3:+oo)

(2*x-3)/(x-3) = (x-2)/(x-1) // - (x-2)/(x-1)

(2*x-3)/(x-3)-((x-2)/(x-1)) = 0

(2*x-3)/(x-3)+(-1*(x-2))/(x-1) = 0

((2*x-3)*(x-1))/((x-3)*(x-1))+(-1*(x-2)*(x-3))/((x-3)*(x-1)) = 0

(2*x-3)*(x-1)-1*(x-2)*(x-3) = 0

x^2-3 = 0

(x^2-3)/((x-3)*(x-1)) = 0

(x^2-3)/((x-3)*(x-1)) = 0 // * (x-3)*(x-1)

x^2-3 = 0

1*x^2 = 3 // : 1

x^2 = 3

x^2 = 3 // ^ 1/2

abs(x) = 3^(1/2)

x = 3^(1/2) or x = -3^(1/2)

x in { 3^(1/2), -3^(1/2) }

See similar equations:

| x*x-10*x+18=0 | | A*B=A+2B | | -5(2t+7)=-75 | | 6q-2p-3=22p-2q+13 | | -10(s+5)=-114 | | (14x-7)-(4x^2+2x-7)= | | 7(2l+9)=91 | | f(x)=1-x-(1/x) | | X-5x/7 | | (3x^2)/2=27/2 | | 32y^2x=4x | | .75x+.25y=8 | | 5x^2-9=-10 | | 7.5x+2.5y=8 | | 5t-1=10 | | 9m+7=81 | | 6x(2+9x)= | | 5(x+9)=4(2x-6) | | 12/11*2/4 | | 3(2x)-4=188 | | 5x^2/15-(x-9)/6=3/2 | | 55+x=2x+3 | | Fx=6x-3 | | x=2+3i | | x-(0.25x)=650 | | 3^3/5=12/25z | | 1/40=1/8y | | (-4p^7)/(28p^4) | | -2-(4-9)= | | 12d^2+d-6=0 | | x+10x=285 | | 5x-1=3+3 |

Equations solver categories