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

Respuesta :

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:

A) -3

Step-by-step explanation:

Given,

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

[tex](8x+12y)+(ax-6y)=(5x+6y)[/tex]

[tex]8x+12y+ax-6y=5x+6y[/tex]

[tex](8+a)x+6y = 5x+6y[/tex]      ( By combining like terms )

By comparing,

[tex]8+a = 5[/tex]

[tex]\implies a = 5 - 8 = -3[/tex]

Hence, the value of x is -3,

Option A is correct.