Help!

Solve the equation with the replacement set {–76, –8, 8, 76}

|42 – x | = 34

A.8
B.76
C.–8, 8
D.8, 76

Question

Help!
 
Solve the equation with the replacement set {–76, –8, 8, 76}
 
|42 – x | = 34
 
A.8
B.76
C.–8, 8
D.8, 76

solomonzelman · Answer

when you have this type equations, you put it the following way.
|42 – x | = 34   would  form  2   equations.
$$42~–~x~ =~34~~~~~~~~~~~~~~~~~~~~~~~~~~~~42~-x~=~-34$$$$Solve~~~for~~~x~~~i n~~~each~~~one,~~~can~~~you~~~do~~~this?$$

solomonzelman · Answer

Ok, I'll show you, ready?

solomonzelman · Answer

$$42~-x~-42=34-42~~~->-x=-6~~->x=6$$lets work the second one now.

solomonzelman · Answer

$$42-x=-34,~~~~42-x-42=-34-42,~~~~-x=-76,~~~~x=76$$

solomonzelman · Answer

$$Let's~~CHECK!$$

solomonzelman · Answer

$$|42 – (6) | = 34,~~~->~~~~|34 | =34~~~~~~x=6~~WORKS$$

solomonzelman · Answer

$$|42 – (72) | = 34,~~~~->~~~~|-34 | =34,~~~~~~x=72~~WORKS$$

solomonzelman · Answer

$\huge\color{blue}{Does~~~~this~~~~make~~~~sense?}$

anonymous · Answer

so 6, 72 are the answers ?

solomonzelman · Answer

$\huge\color{purple}{Yes,~~~~but~~~~do~~~~you~~~see~~why?}$

anonymous · Answer

but those are not in the replacement set......

anonymous · Answer

replacement set {–76, –8, 8, 76}

solomonzelman · Answer

Yes, I check on the calculator, I didn't add correctly, the process is the smae though.
It is 76  and  8.

solomonzelman · Answer

$\huge\color{cyan}{Sorry!}$

anonymous · Answer

ok :) got a little confused there for a minute but i see how you did that :) thank yo u

solomonzelman · Answer

$\huge\color{cornflowerblue}{Anytime!}$

solomonzelman · Answer

$$\huge\color{magenta}{Have~~~~a~~~~good~~~~Thanksgiving!}$$