Question

(3-5x)/(3-4x)=(-5x+1)/5x-1​

Answer 1

Answer:

x = $\frac{2}{3}$

Step-by-step explanation:

Multiply the numerator of the first fraction by the denominator of the second fraction.

(3 - 5x) * (5x - 1)

20x - 3 - 25$x^{2}$ = 19x + 3 + 20$x^{2}$

Move all terms containing x to the left.

39x - 3 - 45$x^{2}$ - 3 = 0

39x - 45$x^{2}$ - 6 = 0

Factor the left side of the equation...

5x - 1 = 0 to x = $\frac{1}{5}$

3x -2 = 0 to x = $\frac{2}{3}$

Then exclude the solutions that do not make:

$\frac{3-5x}{3-4x}$ = $\frac{-5x+1}{5x-1}$

So, x = $\frac{2}{3}$