Question

resolver a equação 2x+3y=3 x-y=1

Answer 1

$\LARGE\displaystyle{}\begin{cases}2x + 3y = 3 \\ \\ x - y = 1\end{cases} \\\\ \LARGE\displaystyle{}\begin{cases}2x + 3y = 3 \\ \\ x = 1 + y\end{cases} \\\\ \LARGE\displaystyle{}2\left(1 + y\right) + 3y = 3 \\\\ \LARGE\displaystyle{}2 + 2y + 3y = 3 \\ \LARGE\displaystyle{}2 + 5y = 3 \\\LARGE\displaystyle{}5y = 3 - 2 \\ \LARGE\displaystyle{}5y = 1 \\ \\\LARGE\displaystyle{} y = \dfrac{1}{5} \\ \\ \LARGE\displaystyle{}x = 1 + \dfrac{1}{5} \\\\ \LARGE\displaystyle{}x = \dfrac{5 + 1}{5} \\ \\\LARGE\displaystyle{}x = \dfrac{6}{5} \\ \\ \LARGE\displaystyle{}\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{ \left(x,y\right) =\left( \dfrac{6}{5} , \dfrac{1}{5} \right) }}}\end{gathered} }$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{{ \red{Bons}} \blue{\:Estudos}}}}\end{gathered} }$