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3x+2y is less than or equal to -2 x-2y is less than or equal to -6

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In the expression, the values of x and y are

y ≥ 2

x ≥ -2

How to solve the expressions

The given data include

3x + 2y ≥ -2

x - 2y ≥ -6

From x - 2y ≥ -6, we have that

x ≥ -6 + 2y

So that

3(-6 + 2y) + 2y ≥ -2

-18 + 6y + 2y ≥ -2

8y ≥ -2 + 18

8y ≥ 16

y ≥ 2

Then we can solve for x

x ≥ -6 + 2(2)

x ≥ -6 + 4

x ≥ -2

User Lee Maan
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