Solve the absolute value equation. Check your solutions.

| 5x + 13| = –7

Question

Solve the absolute value equation. Check your solutions. 

| 5x + 13| = –7

anonymous · Answer

Make two cases: one where $5x+13 \ge 0$ and one where $5x + 13 < 0$ and solve each of those cases independently.

anonymous · Answer

5x+13=-7
5x=-20
x=-4

OR

5x-13=-7
5x=6
x=6/5

Check by substituting in.

campbell_st · Answer

the absolute value of 5x + 13 is always positive I'd say it can't equal -7

anonymous · Answer

5x + 13 = -7
5x = -7 -13
5x = -20
divide both sides by 5.
x=-4 :)

campbell_st · Answer

its interesting x = -4

| 5*(-4) + 13| = | -7|   = 7  which doesn't equal -7

campbell_st · Answer

and | 5*6/5 + 13| = | 19| = 19   and not -7

campbell_st · Answer

Oh hold on Some1 made a mistake with his 2nd solution

-5x - 13 = -7
 -5x = 6
 x = -6/5

lets check it

| 5*-6/5 + 13| = | 7| = 7     so that doesn't equal - 7 either...

anonymous · Answer

awww, okay lets try and get it right.