Question

calcule X e Y na proporcao abaixo [x/2=y/3] sabendo que X+Y=15

Answer 1

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

x + y = 15

x = 15 - y

$\frac{15 - y}{2} = \frac{y}{3}$

$\frac{15 - y}{2} - \frac{y}{3} = 0$

MMC = 6

$\frac{(45 - 3y) - (2y)}{6} = \frac{0}{6}$

$\frac{45 - 3y - 2y}{6} = 0$

$\frac{45 - 5y}{6} = 0$

Corta o 6

45 - 5y = 0

-5y = - 45

$y = \frac{ - 45}{ - 5}$

y = 9

x = 15 - 9

x = 6

x = 6

y = 9