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# Need help ASAP

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Given that $-3 \le 7x + 2y \le 3$ and $-4 \le y - x \le 4$, what is the maximum possible value of $x + y$?

Apr 16, 2019

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Apr 16, 2019
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The math problem is unreadable with symbols. Try rewriting it normally.

--7H3_5H4D0W

GAMEMASTERX40  Apr 16, 2019
edited by GAMEMASTERX40  Apr 16, 2019
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Given that $$-3 \le 7x+2y\le 3\text{ and }-4\le y -x \le 4$$, what is the maximum possible value of x + y?

$$-10\le \dfrac{5y}{2} - \dfrac{5x}{2} \le 10$$

$$-13 \le \dfrac{9x}{2} + \dfrac{9y}{2} \le 13$$

$$\dfrac{-26}{9}\le x+y \le \dfrac{26}{9}$$

Maximum possible value is 26/9

Apr 18, 2019