Solve `-3/(1-2x) = 4/(x-3)` .can you show step by step i just got so confused

2 Answers | Add Yours

lemjay's profile pic

lemjay | High School Teacher | (Level 3) Senior Educator

Posted on

`-3/(1-2x)=4/(x-3)`

To solve rational equations, we need to eliminate the denominators. To do so, multiply both sides by the LCD.

`-3/(1-2x)*(1-2x)(x-3)=4/(x-3)*(1-2x)(x-3)`

`-3(x-3)=4(1-2x)`

`-3x+9=4-8x`

Then, combine like terms. So move the terms with x on one side of the equation. While the constants on the other side of the equation.

  `-3x + 9 = 4 - 8x`

  `+3x - 4`  `-4 + 3x`

`------------`

       `0 + 5 = 0 - 5x`

            `5 = -5x`

And isolate x by dividing both sides by -5.

`5/(-5)=(-5x)/(-5)`

`-1=x`

Answer: `x =-1`

vaaruni's profile pic

vaaruni | High School Teacher | (Level 1) Salutatorian

Posted on

Given : -3/(1-2x) = 4/(x-3) =>{-3/(1-2x)}*(1-2x)={4/(x-3)}*(1-2x)[ multiplying both side by (1-2x) ] =>(-3)=(4(1-2x))/(x-3) =>(-3)*(x-3)={(4*(1-2x))/(x-3)}*(x-3)[ multiplying both side by (x-3) ] => -3(x-3)=4(1-2x) => -3x+9 = 4-8x => -3x+8x+9 = 4-8x+8x [ adding both side 8x] => 5x+9 = 4 => 5x+9-9 = 4-9 [subtracting both side 9] => 5x = -5 => x = (-5)/5 = -1 Hence x = -1 <--Answer

We’ve answered 318,957 questions. We can answer yours, too.

Ask a question