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