We want to find the value of the following expression:
[tex]4x+\frac{1}{3}y^2[/tex]when x = 2 and y = 3.
We follow the next step by step:
Step 1: replacing x and y values
Step 2: solving the combined operations
We replace in the equation x by 2 and y by 3:
[tex]\begin{gathered} 4x+\frac{1}{3}y^2 \\ \downarrow\text{ since x=2 and y=3} \\ 4\cdot2+\frac{1}{3}\cdot3^2 \end{gathered}[/tex]We solve the expression we found: first we solve the multiplications:
[tex]\begin{gathered} 4\cdot2+\frac{1}{3}\cdot3^2 \\ \downarrow\text{ since }3^2=9\text{ and }4\cdot2=8 \\ 8+\frac{1}{3}\cdot9 \\ \downarrow\text{ since }\frac{9}{3}=3 \\ 8+3 \end{gathered}[/tex]Then, the addition:
8 + 3 = 11
