Answer
y=2 2/3 OR y=3
Work Step by Step
Factor the equation, and then use the zero product property. (If the product is 0, one of the factors is zero.)
$3y^2−17y+24=0 $
(3y−?)(y−?)=0 ⟶ The 2nd term is negative and the 3rd is positive, so the second terms in the factored equation are both negative.
(3y−8)(y−3)=0
3y−8=0 OR y−3=0 ⟶ solve for t using addition property of equality
3y−8+8=0+8 OR y−3+3=0+3
3y=8 OR y=3
3y÷3=8÷3 OR y=3⟶ use the multiplication property of equality
y=8/3 OR y=3
y=2 2/3 OR y=3
