Evaluate the expression StartFraction 12 minus 3 y Over 2 EndFraction plus y StartFraction 2 y minus 4 Over y EndFraction for y = 3.

Answer 1

First, we substitute y = 3 into the expression:

StartFraction 12 - 3(3) Over 2 EndFraction + 3 StartFraction 2(3) - 4 Over 3 EndFraction

This simplifies to:

StartFraction 12 - 9 Over 2 EndFraction + 3 StartFraction 6 - 4 Over 3 EndFraction

Calculating the values within each fraction:

StartFraction 3 Over 2 EndFraction + 3 StartFraction 2 Over 3 EndFraction
= 1.5 + 2
= 3.5

Therefore, the value of the expression when y = 3 is 3.5.