Question

Resolva o sistema linear a seguir.
2x + y = 1
- 2x + 3y = -2​

Answer 1

$\boxed{\begin{array}{l}+\underline{\begin{cases}\sf\diagdown\!\!\!\!\!\!2x+y=1\\\sf-\diagdown\!\!\!\!\!\!2x+3y=-2\end{cases}}\\\sf4y=-1\\\sf y=-\dfrac{1}{4}\\\sf 2x+y=1\\\sf 2x-\dfrac{1}{4}=1\cdot4\\\sf8x-1=4\\\sf 8x=4+1\\\sf 8x=5\\\sf x=\dfrac{5}{8}\\\sf S=\bigg\{\dfrac{5}{8},-\dfrac{1}{4}\bigg\}\end{array}}$