Question

5n-3=|n+9| HELP ME PLEASE

Answer 1

Let's solve your equation step-by-step.

|n+9|=5n−3

Solve Absolute Value.

|n+9|=5n−3

We know either n+9=5n−3 or n+9=−(5n−3)

n+9=5n−3         (Possibility 1)

n+9−5n=5n−3−5n         (Subtract 5n from both sides)

−4n+9=−3  

−4n+9−9=−3−9       (Subtract 9 from both sides)

−4n=−12  

(Divide both sides by -4)

n=3

n+9=−(5n−3)   (Possibility 2)

n+9=−5n+3     (Simplify both sides of the equation)

n+9+5n=−5n+3+5n    (Add 5n to both sides)

6n+9=3

6n+9−9=3−9   (Subtract 9 from both sides)

6n=−6  

(Divide both sides by 6)

n=−1

Check answers.      (Plug them in to make sure they work.)

n=3     (Works in original equation)

n=−1    (Doesn't work in original equation)

Answer:

n=3

Answer 2

Answer:

n = 3

Step-by-step explanation: