Question

Determine X e Y reais, tais que:​​

Answer 1

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$\begin{pmatrix}\sf2&\sf x\\\sf y&\sf-3\end{pmatrix}\cdot\begin{pmatrix}\sf4\\\sf-5\end{pmatrix}=\begin{pmatrix}\sf-2\\\sf-1\end{pmatrix}\\\begin{pmatrix}\sf2\cdot4+x\cdot(-5)\\\sf y\cdot4+(-3)\cdot(-5)\end{pmatrix}=\begin{pmatrix}\sf-2\\\sf-1\end{pmatrix}\\\begin{pmatrix}\sf8-5x\\\sf4y+15\end{pmatrix}=\begin{pmatrix}\sf-2\\\sf-1\end{pmatrix}$

$\sf 8-5x=-2\\\sf 5x=8+2\\\sf 5x=10\\\sf x=\dfrac{10}{5}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=2\checkmark}}}}\\\sf 4y+15=-1\\\sf 4y=-15-1\\\sf 4y=-16\\\sf y=-\dfrac{16}{4}\\\huge\boxed{\boxed{\boxed{\boxed{\sf y=-4\checkmark}}}}$