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Solving systems of linear inequalities: -2 less than or equal to y less than or equal to 6

3y less than or equal to 4x + 26
y less than or equal to -2x + 2
f(x,y) = -3x -6y

User Iterator
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1 Answer

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3y<=4x+26
y<-2x+2

Multiply the second equation by 2 to eliminate y
3y<=4x+26
2y<=-4x+4

5y<=30
Divide both sides by 5
y<=6

Substitute the value lets say y=6
6<=-2x+2
4<=-2x
-2>=x
User Cherlyn
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