Question

Anna adds (8x + 12y) and (ax − 6y). If the correct answer is 5x + 6y, what is the value of a?

A) −3
B) −5
C) 13
D) 3

Answer 1

the answer is -3, Choice 1 because you only need to care about the x values, so what do you add/subtract from 8 you get 5? So the answer is -3 

Answer 2

A) -3

Explanation:

Given,

When (8x + 12y) is added to (ax − 6y) the answer is (5x + 6y)

`(8x+12y)+(ax-6y)=(5x+6y)`

`8x+12y+ax-6y=5x+6y`

`(8+a)x+6y = 5x+6y` ( By combining like terms )

By comparing,

`8+a = 5`

`\implies a = 5 - 8 = -3`

Hence, the value of x is -3,

Option A is correct.