Question

Ana and Ling are solving |3x + 14| = -6x.

Is either of them correct?...............................
Explain your reasoning.

Answer 1

No! Both are wrong!

Step-by-step Step-by-step explanation:

the value of absolute function, (|.|) is always positive

that means -6x always has to be positive

and for -6x to be positive x has to be negative

(since, two negatives make a positive)

therefore, the value of x to the equation will be a negative value and not a positive one.

Ana thinks both positive and negative values of x will be the solution, whereas Ling thinks negative value of x can't be a solution. So, they're both wrong.

ONLY negative value of x will be the solution.