Question

|4-2y|+5=9

solve

Answer 1

subtract 5 from both sides

|4 - 2y| = 9 -5

combine like terms

|4 - 2y| = 4

now solve for y in 4 - 2y = 4

and 4 - 2y = -4

Answer 2

4-2y = 4
y=0

OR

4-2y = -4
y=4

Answer 3

which one is extraneous?

Answer 4

absolute values dont have extraneous roots....

Answer 5

but when i plugged it back in it neither of them worked.

Answer 6

y = 0

|4 - 2(0)| + 5 = 9
|4| + 5 = 9
4 + 5 = 9
9 = 9

when y = 4
|4 - 2(4)| + 5 = 9
|4- 8 | + 5 = 9
|-4| + 5 = 9
4 + 5 = 9
9 = 9

both of them works

Answer 7

oh i must have done it wrong thank you

Answer 8

welcome ^_^