Question

I need help with algebra 2!
Solve the equation. Check for extraneous solutions. 2|7-7x|=2x+4

Answer 1

Solve each equation. Check for extraneous solutions.
Equation: |5x-1|+7=3x
Here's what I did:
|5x-1|+7=3x
-7 -7
|5x+1|=3x-7
5x-1=3x-7 OR 5x-1=-(3x-7)
+1 +1
5x=3x-6
-3x -3x
2x=-6
2 2
x=-3
OR
5x-1=-(3x-7)
5x-1=-3x+7
8x = 8
x = 1
So, x=-3 or x=1.
CHECK:
|5x-1|+7=3x

Answer 2

|5(-3)-1|+7=+3(-3)
|-15-1|+7=-9
|-16|+7=-9
16+7=-9
23=9
But 23 doesn't equal 9. At first I thought it was just an exraneous solution. But then I checked the second number:
|5x-1|+7=3x
|5(1)-1|+7=3(1)
|5-1|+7=3
|4|+7=3
4+7=3
11=3
But again, 11 doesn't equal 3.
Your work is correct.
Both "solution" are extraneous.
---
If you graph the left side and the right side of the equation
separately, you will see that they do not intersect, i.e. they
are never equal.

Answer 3

Its not graphing

Answer 4

The answers are
a. x=3/2 x=5/6
b. x=3/2 x=5/8
c. x=5/8
d. x=3/2

Answer 5

A. x=3/2 x=5/6 is the correct 1

Answer 6

Thank you!

Answer 7

no prob gimme a medal