What are the boundaries of x and y if $2 x - 3 y \geq 9 and - x - 4 y \geq 8 ?$ $2x - 3y >= 9 and - x - 4y >= 8?$ ?

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What are the boundaries of x and y if $2 x - 3 y \geq 9 and - x - 4 y \geq 8 ?$ $2x - 3y >= 9 and - x - 4y >= 8?$ ?

1 Answer

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Answer 1 · 2018-01-20T06:34:04

$x \geq \frac{37}{25}$ $x>=37/25$
$y \geq \frac{25}{11}$ $y>=25/11$ .

Explanation:

$2 x - 3 y \geq 9$ $2x-3y>=9$

$(- x - 4 y \geq 8) \cdot 2 = - 2 x - 8 y \geq 16$ $(-x-4y>=8)*2 = -2x-8y>=16$

add $2 x - 3 y \geq 9$ $2x-3y>=9$
+ $- 2 x - 8 y \geq 16$ $-2x-8y>=16$

You get $11 y \geq 25$ $11y>=25$
So, $y \geq \frac{25}{11}$ $y>=25/11$ .
You plug in $\frac{25}{11}$ $25/11$ into one of the equation and solve for x.
$2 x - 3 (\frac{25}{11}) \geq 9$ $2x-3(25/11)>=9$
$2 x \geq \frac{74}{25}$ $2x>=74/25$
$x \geq \frac{37}{25}$ $x>=37/25$

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What are the boundaries of x and y if $2 x - 3 y \geq 9 and - x - 4 y \geq 8 ?$ $2x - 3y >= 9 and - x - 4y >= 8?$ ?

1 Answer

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What are the boundaries of x and y if 2x - 3y >= 9 and - x - 4y >= 8?2x−3y≥9and−x−4y≥8?2x - 3y >= 9 and - x - 4y >= 8??

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Explanation:

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What are the boundaries of x and y if $2 x - 3 y \geq 9 and - x - 4 y \geq 8 ?$ $2x - 3y >= 9 and - x - 4y >= 8?$ ?