Question

6. Решите уравнение

б) 7y-25/43=12/86

Answer 1

Решение и ответ:

$\displaystyle 7y-\frac{{25}}{{43}}=\frac{{12}}{{86}}\\$

$\displaystyle 7y=\frac{{12}}{{86}}+\frac{{25}}{{43}}\\$

$\displaystyle 7y=\frac{{12}}{{86}}+\frac{{50}}{{86}}\\$

$\displaystyle 7y=\frac{{12+50}}{{86}}\\$

$\displaystyle 7y=\frac{{62}}{{86}}=\frac{{31}}{{43}}\\$

$\displaystyle y=\frac{{31}}{{43}}\div7\\$

$\displaystyle y=\frac{{31}}{{43}}\cdot\frac{1}{7}\\$

$\displaystyle \boxed{y=\frac{{31}}{{301}}}$

Answer 2

7y-25/43=12/86
7y=25/43+12/86 (25/43 домножаем на 2)
7у=50+12/86
7у=62/86
7у=31/43
у=31/43 • 1/7
y= 31/301