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x-6ygt 5 7x+2ygeqslant 4 Is (10,-2) a solution of the system? Choose 1 anower: A Yes B No

Pergunta

x-6ygt 5
7x+2ygeqslant 4
Is (10,-2) a solution of the system?
Choose 1 anower:
A Yes
B No

x-6ygt 5 7x+2ygeqslant 4 Is (10,-2) a solution of the system? Choose 1 anower: A Yes B No

Solução

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LucianoMestre · Tutor por 5 anos

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To determine if $(10,-2)$ is a solution to the system of inequalities, we need to substitute the values of $x$ and $y$ into both inequalities and check if they hold true.<br /><br />Given the system of inequalities:<br />1. $x-6y > 5$<br />2. $7x+2y \geqslant 4$<br /><br />Let's substitute $x = 10$ and $y = -2$ into the inequalities:<br /><br />1. $10 - 6(-2) > 5$<br /> $10 + 12 > 5$<br /> $22 > 5$ (True)<br /><br />2. $7(10) + 2(-2) \geqslant 4$<br /> $70 - 4 \geqslant 4$<br /> $66 \geqslant 4$ (True)<br /><br />Since both inequalities hold true when $x = 10$ and $y = -2$, the point $(10,-2)$ is a solution to the system of inequalities.<br /><br />Therefore, the correct answer is:<br />A Yes
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