Question

Daca 7(a+4)=2(b+14)si a,b este R determinati valoarea raportului a supra b

Answer 1

$7(a + 4) = 2(b + 14)$

$7a + 28 = 2b + 14$

$7a + 28 - 14 = 2b$

$7a + 14= 2b \: | \div b$

$\frac{7a + 14}{b} = 2$

$\frac{7a}{b} + \frac{14}{b} = 2$

$7 \times \frac{a}{b} + \frac{14}{b} = 2 \: | \div 7$

$\frac{a}{b} + \frac{2}{b} = \frac{2}{7}$

$\frac{a+2}{b} = \frac{2}{7}$

$\frac{a }{b} +\frac{2}{b}= \frac{2}{7}$

$\frac{a}{b} = \frac{2}{7} -\frac{2}{b}$

$\frac{a}{b} = \frac{2b}{7b}-\frac{14}{7b}$

$\frac{a}{b} = \frac{2b-14}{7b}$

$\frac{a}{b} = \frac{2(b-7)}{7b}$