Question

Which expression is equivalent to 1/3(5x+3y)+2/5y+7?

A) 5/3x+7/5y+7
B)15x+9 2/5y+9
C)5/3x+2/5y+7
D)15x+2/5y+7

Answer 1

D is the answer because all you have to do is solve

Answer 2

Option A is correct.

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

Explanation:

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

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

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

Combine like terms, we have;

`(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`