Question

Задание 794. Решите уравнение.

$\frac{ x - 5}{4} = 7 - \frac{2x - 11}{3}$

Answer 1

Решение и ответ:

$\displaystyle \frac{{x-5}}{4}=7-\frac{{2x-11}}{3}$

$\displaystyle \frac{{x-5}}{4}=\frac{{21}}{3}-\frac{{2x-11}}{3}$

$\displaystyle \frac{{x-5}}{4}=\frac{{21-2x+11}}{3}$

$\displaystyle \frac{{x-5}}{4}=\frac{{32-2x}}{3}$

$\displaystyle 4\cdot\left({32-2x}\right)=3\cdot\left({x-5}\right)$

$\displaystyle 128-8x=3x-15$

$\displaystyle -8x-3x=-15-128$

$\displaystyle\\ -11x=-143$

$\displaystyle x=-143\div(-11)$

$\displaystyle \boxed{x=13}$