Question

{2x-3y=7
{3x-2y=-13
V={10,3}
Alguem me ajuda, please!?​

Answer 1

$\blue{\boxed{\begin{array}{l}\begin{cases}\sf2x-3y=7\\\sf 3x-2y=-13\end{cases}\\\underline{\rm multiplicando~a~1^{a}~equac_{\!\!,}\tilde ao~por~-2~e~a~2^{a}~equac_{\!\!,}\tilde ao~por~3~temos:}\\+\underline{\begin{cases}\sf-4x+\diagdown\!\!\!\!\!6y=-14\\\sf9x-\diagdown\!\!\!\!\!6y=-39\end{cases}}\\\sf5x=-53\\\sf x=-\dfrac{53}{5}\\\sf 3x-2y=-13\\\sf 3\cdot\bigg(-\dfrac{53}{5}\bigg)-2y=-13\\\sf -\dfrac{159}{5}-2y=-13\cdot5\\\sf-159-10y=-65\\\sf 10y=-159+65\\\sf 10y=-94\\\sf y=-\dfrac{94\div2}{10\div2}\\\sf y=-\dfrac{47}{5}\\\sf S=\bigg\{-\dfrac{53}{5},-\dfrac{47}{5}\bigg\}\green{\checkmark}\end{array}}}$