Question

4х-3/3х-4+3х-4/4х-3=2

Answer 1

$4x - \frac{3}{3} x + 3x - \frac{4}{4} x = 2 + 4 + 3 \\ 4x - x + 3x - x = 9 \\ 5x = 9 \\ x = \frac{9}{5} = 1 \frac{4}{5}$

Answer 2

This looks like an algebraic expression. To solve it, let's find a common denominator and simplify:

$\frac{4x-3}{3x-4} + \frac{3x-4}{4x-3} = 2$

First, find a common denominator, which is the product of the two denominators $(3x-4)(4x-3)$:

$\frac{(4x-3)^2}{(3x-4)(4x-3)} + \frac{(3x-4)^2}{(3x-4)(4x-3)} = 2$

Now, combine the fractions:

$\frac{(4x-3)^2 + (3x-4)^2}{(3x-4)(4x-3)} = 2$

Expand and simplify the numerator:

$\frac{16x^2 - 24x + 9 + 9x^2 - 24x + 16}{(3x-4)(4x-3)} = 2$

Combine like terms:

$\frac{25x^2 - 48x + 25}{(3x-4)(4x-3)} = 2$

Now, set the numerator equal to twice the denominator:

$25x^2 - 48x + 25 = 2(3x-4)(4x-3)$

Solve this quadratic equation for $x$. It might get a bit messy, but you can simplify it step by step. Good luck!