Question

x/2=y/3 4x-5y=-14 me ajudem pfvr

Answer 1

Resposta:

x = 4

y = 6

Explicação passo-a-passo:

x/2 = y/3

3x = 2y

x = 2y/3

4x - 5y = -14

4(2y/3) - 5y = -14

8y/3 - 5y = -14

-7y/3 = -14

7y = 42

y = 6

3x = 12

x = 4

Answer 2

Oie, Td Bom?!

$\left\{\begin{matrix}</p><p> \frac{x}{2} = \frac{y}{3} & \\ </p><p> 4x - 5y = - 14& </p><p>\end{matrix}\right. \\ \left\{\begin{matrix}</p><p> x = \frac{2}{ 3 }y & \\ </p><p> 4x - 5y = - 14& </p><p>\end{matrix}\right.$

$4 \: . \: \frac{2}{3} y - 5y = - 14 \\ \frac{8}{5} y - 5y = - 14 \\ 8y - 15y = - 42 \\ - 7y = - 42 \\ y = 6$

$x = \frac{2}{3} \: . \: 6 \\ x = 2 \: . \: 2 \\ x = 4$

S = $\left \{ (x \: , \: y) = (4 \: , \: 6) \right \}$

Att. Makaveli1996