Question

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Answer 1

$\boxed{\begin{array}{l}\begin{cases}\sf3x+2y=2\cdot(-2)\\\sf2x+3y=3\cdot(3)\end{cases}\\+\underline{\begin{cases}\sf -\diagdown\!\!\!\!\!\!6x-4y=-4\\\sf\diagdown\!\!\!\!\!\!6x+9y=9\end{cases}}\\\sf5y=5\\\sf y=\dfrac{5}{5}\\\sf y=1\\\sf 3x+2\cdot1=2\\\sf 3x+\diagdown\!\!\!2=\diagdown\!\!\!2\\\sf3x=0\\\sf x=\dfrac{0}{3}\\\sf x=0\\\sf S=\{0,1\}\end{array}}$

$\boxed{\begin{array}{l}\begin{cases}\sf4x+2y=-2\\\sf2x+3y=-7\cdot(-2)\end{cases}\\+\underline{\begin{cases}\sf\diagdown\!\!\!\!\!\!4x+2y=-2\\\sf-\diagdown\!\!\!\!\!\!4x-6y=14\end{cases}}\\\sf-4y=12\cdot(-1)\\\sf 4y=-12\\\sf y=-\dfrac{12}{4}\\\sf y=-3\\\sf2x+3y=-7\\\sf 2x+3\cdot(-3)=-7\\\sf 2x-9=-7\\\sf 2x=9-7\\\sf 2x=2\\\sf x=\dfrac{2}{2}\\\sf x=1\\\sf S=\{1,-3\}\end{array}}$