Question

Descubra quem é x e quem é y no sistema 2x - 3y = -12 e 3x - y = -4.

Answer 1

Resposta:

$\boxed{\bf{x=\dfrac{-24}{\ \ 11}}}\ \ e\ \ \boxed{\bf{y=\dfrac{-28}{\ \ 11}}}$

Explicação passo-a-passo:

$\left \{ {{2x+3y=-12} \atop {3x-y=-4}} \right. \\\\-y = -4 - 3x \Rightarrow \boxed{y=4+3x}\\\\2x + 3\times(4+3x)=-12\\2x +12+9x=-12\\11x=-12-12\\11x = -24\\\\\boxed{\bf{x=\dfrac{-24}{\ \ 11}}}\\\\\\y=4 + 3x = 4 + 3\times \dfrac{-24}{\ \ 11}=\dfrac{44-72}{11}=\dfrac{-28}{\ \ 11}\\\\\boxed{\bf{y=\dfrac{-28}{\ \ 11}}}$

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