Question

Which expression is equivalent to 13(5x+3y)+25y+7 ?

Answer 1

The expression is equivalent to 13(5x3y)+25y+7 is D

Answer 2

Answer:

Option B is correct.

$\frac{5}{3}x+\frac{7}{5}y + 7$ is the expression equivalent to  $\frac{1}{3}(5x+3y) +\frac{2}{5}y + 7$  

Step-by-step explanation:

Given the expression: $\frac{1}{3}(5x+3y) +\frac{2}{5}y + 7$    ......[1]

The distributive property says that:

$a\cdot (b+c) = a\cdot b + a\cdot c$

Apply this property on [1] we get;

$\frac{5}{3}x+y + \frac{2}{5}y + 7$

Like terms are those terms which have the same variables to the same powers.

Combine like terms;

$\frac{5}{3}x+\frac{7}{5}y + 7$

Therefore, the expression which is equivalent to $\frac{1}{3}(5x+3y) +\frac{2}{5}y + 7$  is, $\frac{5}{3}x+\frac{7}{5}y + 7$