SOLUTION: Solve the equations graphicaly by finding intersections. Confirm your answer algebraically. |t-8|=2 |2x+5|=7 Help?!

Question 637056: Solve the equations graphicaly by finding intersections. Confirm your answer algebraically.
|t-8|=2
|2x+5|=7
Help?!
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Your two equations are unrelated in that they are in two different variables, so I have to presume that this is two different problems (in violation of the one question per post rule, by the way). But these two equations each have a solution set consisting of two points on the number line, and the two solution sets have no points in common, hence the instruction to solve graphically by finding intersections makes no sense whatsoever.

Repost. Post ONE problem. Give complete instructions that make sense. Explain what part is giving you trouble. SHOW the work that you have done so far. The amount of help we give you will be in direct proportion to the amount of effort you put into learning this.

John

My calculator said it, I believe it, that settles it

Answer by MathLover1(20855) (Show Source): You can put this solution on YOUR website!
you must split the equation into its two possible two cases to clear absolute value bars, one case for each sign:
1.
-----or-----
-----or-----
-----or-----
-----------------or
Then the solution is = , .
2.
-----or-----
-----or-----
-----or-----
-----or-----
-------------------or

Then the solution is = , .
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