Mathematics: Which expression is equivalent to 13(5x+3y)+25y+7 ? a. 15x+925y+7 b. 53x+75y+7 c. 15x+25y+7 d. 53x+25y+7

Which expression is equivalent to 13(5x+3y)+25y+7 - id13532571650166, sissygirl0807

rostecorralmart

15.03.2022

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

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