evaluate $\frac{3}{2}y - 3+\frac{5}{3}z$ when $y = 6$ and $z = 3$.

evaluate $\frac{3}{2}y - 3+\frac{5}{3}z$ when $y = 6$ and $z = 3$.

evaluate $\frac{3}{2}y - 3+\frac{5}{3}z$ when $y = 6$ and $z = 3$.

Answer

Explanation:

Step1: Substitute values of y and z

Substitute $y = 6$ and $z = 3$ into $\frac{3}{2}y-3+\frac{5}{3}z$. We get $\frac{3}{2}\times6 - 3+\frac{5}{3}\times3$.

Step2: Calculate each term

$\frac{3}{2}\times6=9$, $\frac{5}{3}\times3 = 5$. So the expression becomes $9-3 + 5$.

Step3: Perform addition and subtraction

$9-3=6$, then $6 + 5=11$.

Answer:

$11$