Answer:
Option A is correct.
[tex]\frac{5}{3}x+ \frac{7}{5}y + 7[/tex]
Step-by-step explanation:
Given : [tex]\frac{1}{3}(5x+3y)+\frac{2}{5}y +7[/tex] ......[1]
Using distributive property: [tex]a\cdot (b+c) = a\cdot b + a\cdot c[/tex]
Apply distributive property on [1] we have;
[tex]\frac{5}{3}x+ y + \frac{2}{5}y + 7[/tex]
Like terms are those terms which has same variables or 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]
