Question

Solve the equation. Check for extraneous solutions.
l4x +3l = 9 + 2x

Answer 1

x = _____ or ______

Answer 2

@sirm3d

Answer 3

@JakeV8

Answer 4

It's an absolute value so 4x+3 can be negative or positive. That is why there are two answers despite everything being to be first degree.

4x+3=9+2x OR -4x-3 = 9+2x

Answer 5

So you need to solve:
4x+3=9+2x --->>> 2x = 6

OR

-4x-3 = 9+2x ---->>>> -12 = 6x

Answer 6

each equation must satisfy \[\large 9+2x \ge 0\]

Answer 7

Ahhh... I was trying to remember where the extraneous solution aspect entered in.

Thanks!

Answer 8

medal for malical for showing the solution first.