Question

. Solve the equation. Check for extraneous solutions.
|4x+3|=9+2x

Answer 1

@triciaal @KlOwNlOvE

Answer 2

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

get that 2x over with 4

Answer 3

2 situations -(4x + 3) = 9 + 2x and 4x + 3 = 9 + 2x

Answer 4

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

2x = 6
x = 3

Answer 5

check in original
when x = 3
4(3) + 3 = 12 + 3 = 15
9 + 2(3) =9 + 6 = 15

when x = -2
4(-2) + 3 = -8 + 3 = -5 absolute value = 5
9 + 2(-2) = 9 -4 = 5

Answer 6

any questions?

Answer 7

yes, how would I fill this in
x = _____ or _____

Answer 8

@triciaal

Answer 9

what are the 2 values for x?

Answer 10

read the posts
there were 2 situations
we have 2 values for x that satisfy the equation