Question

3x=y
3(x+y)=4
Sistema de equação

Answer 1

Resposta:

x = 4/9

y = 4/3

Explicação passo-a-passo:

$\left \{ {{3x=y} \atop {3(x+y)=4}} \right.$

$=\left \{ {{3x=y} \atop {3(x+3x)=4}} \right. =\left \{ {{3x=y} \atop {3x+6x=4}} \right. =\left \{ {{3x=y} \atop {9x=4}} \right. =\left \{ {{3x=y} \atop {\frac{9x}{9}=\frac{4}{9}}} \right. =\left \{ {{3x=y} \atop {x=\frac{4}{9}} \right.$

$x=\frac{4}{9}$

$y=3x\\y=3\cdot \frac{4}{9}\\y=\frac{3}{1}\cdot \frac{4}{9}\\y=\frac{4}{3}$