Question

\[\begin{aligned}

& 8x-3y<4
\\\\
& 9x+2y < -1
\end{aligned}\]
Is
\[(5,-5)\] a solution of the system

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if (5, -5) is a solution to the system of inequalities, we substitute x = 5 and y = -5 into both inequalities and check if the resulting inequalities are true.

For the first inequality,
\[8x - 3y < 4\]
we have
\[8(5) - 3(-5) < 4\]
\[40 + 15 < 4\]
\[55 < 4\]
This inequality is not true, so (5, -5) is not a solution to the first inequality.

For the second inequality,
\[9x + 2y < -1\]
we have
\[9(5) + 2(-5) < -1\]
\[45 - 10 < -1\]
\[35 < -1\]
This inequality is also not true, so (5, -5) is not a solution to the second inequality.

Since (5, -5) is not a solution to either inequality, it is not a solution to the system of inequalities.