Verified answer

Problem 1

Simplify left side of the inequality using the Distributive property

9 - 4y + 4 > 6y - 8

Combine like terms

13 - 4y > 6y - 8

Move all variables to one side, and all constants to the other

-10y > -21

Divide both sides by -10 ***when you multiply or divide both sides of an inequality by a negative number, the inequality symbol changes around

y < -21/-10

and we finish by simplifying on the right

y < 21/10

Problem 2

Subtract 5x from both sides

3y = -5x - 9

Divide both sides by 3

y = (-5x - 9)/3

and since (a + b)/c = a/c + b/c

y = -5/3 x - 9/3

and we reduce

y = -5/3 x - 3

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