Question

Which expression is equivalent to 1/3(5x+3y)+2/5y+7 A. 5/3x+7/5y+7 B. 15x+2/5y+7 C. 5/3x+2/5y+7 D.15x+9 2/5y+7

Answer 1

The Answer is A. 5/3x+7/5y+7

Answer 2

Option A is correct.

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

Explanation:

Given :
`(1)/(3)(5x+3y)+(2)/(5)y +7` ......[1]

Using distributive property:
`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 has same variables or 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`