Question

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

Answer 1

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

Answer 2

Option B is correct.

`(5)/(3)x+(7)/(5)y + 7` is the expression equivalent to
`(1)/(3)(5x+3y) +(2)/(5)y + 7`

Explanation:

Given the expression:
`(1)/(3)(5x+3y) +(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;

`(5)/(3)x+y + (2)/(5)y + 7`

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

Combine like terms;

`(5)/(3)x+(7)/(5)y + 7`

Therefore, the expression which is equivalent to
`(1)/(3)(5x+3y) +(2)/(5)y + 7` is,
`(5)/(3)x+(7)/(5)y + 7`