Answer:
Option B is correct.
[tex]\frac{5}{3}x+\frac{7}{5}y + 7[/tex] is the expression equivalent to [tex]\frac{1}{3}(5x+3y) +\frac{2}{5}y + 7[/tex]
Step-by-step explanation:
Given the expression: [tex]\frac{1}{3}(5x+3y) +\frac{2}{5}y + 7[/tex] ......[1]
The distributive property says that:
[tex]a\cdot (b+c) = a\cdot b + a\cdot c[/tex]
Apply this property on [1] we get;
[tex]\frac{5}{3}x+y + \frac{2}{5}y + 7[/tex]
Like terms are those terms which have the same variables to the same powers.
Combine like terms;
[tex]\frac{5}{3}x+\frac{7}{5}y + 7[/tex]
Therefore, the expression which is equivalent to [tex]\frac{1}{3}(5x+3y) +\frac{2}{5}y + 7[/tex] is, [tex]\frac{5}{3}x+\frac{7}{5}y + 7[/tex]
