Question

SOMEONE PLS HELP!
solve the equations algebraically.
1. |-2-3m|=8
2. 4|4x-3|-4=24

Answer 1

1. m = -10/3 or 2

2. x = 5/2 or -1

Explanation:

An absolute value function such as ...

|x| = a

resolves to two equations:

• x = a
• x = -a

_____

1. |-2-3m| = 8

First case:

-2 -3m = 8

-3m = 10

m = -10/3

Second case:

-2 -3m = -8

-3m = -6

m = 2

Solutions are m = -10/3 or 2.

__

2. 4|4x-3| -4 = 24

Divide by 4 and add 1:

|4x -3| -1 = 6

|4x -3| = 7

First case:

4x -3 = 7

4x = 10 . . . . add 3

x = 10/4 = 5/2 . . . . divide by 4, reduce the fraction

Second case:

4x -3 = -7

4x = -4 . . . . add 3

x = -1 . . . . . divide by 4

Solutions are x = 5/2 or -1.