Mathematics: Y = - 1/3 * x + 2; y 2x - 3 linear inequalities

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Y = - 1/3 * x + 2; y 2x - 3 linear inequalities

WildfireintheHeart

20.07.2021

Step-by-step explanation:

Given

Inequalities are $y\leq -\dfrac{1}{3}x+2$ and y2x-3

Take the inequality as two equations to get the intersection point

$y=-\dfrac{1}{3}x+2\ and\ y=2x-3$

Equate the value of y

$\Rightarrow -\dfrac{1}{3}x+2=2x-3\\\Rightarrow 5=\dfrac{7x}{3}\\\\\Rightarrow x=\dfrac{15}{7}$

$\therefore y=1.286$

The common region gives the required regions for inequalities.

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