Question

encontre o valor de x no sistema a seguir​

Answer 1

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$\boxed{\begin{array}{l}\begin{cases}\sf\dfrac{2x}{3}=\dfrac{y}{3}-4\\\sf x+y=49\end{cases}\\\underline{\tt multiplicando~a~1^{\sf a}~equac_{\!\!,}\tilde ao~por~3~temos\!:}\\\begin{cases}\sf 3\cdot\dfrac{2x}{3}=3\cdot\dfrac{y}{3}-3\cdot4\\\sf x+y=49\end{cases}\\\begin{cases}\sf2x=y-12\\\sf x+y=49\end{cases}\\+\underline{\begin{cases}\sf 2x-\diagup\!\!\!y=-12\\\sf x+\diagup\!\!\!y=49\end{cases}}\\\sf 3x=37\\\sf x=\dfrac{37}{3}\\\sf x+y=49\\\sf\dfrac{37}{3}+y=49\cdot3\\\sf 37+3y=147\\\sf 3y=147-37\end{array}}$

$\boxed{\begin{array}{l}\sf3y=110\\\sf y=\dfrac{110}{3}\\\sf S=\bigg\{\dfrac{37}{3},\dfrac{110}{3}\bigg\}\end{array}}$