Absolute Value 2

1. |x-4| + |x| = 8 . what is the sum of the possible value(s) of x?

Solution: |x-4| + |x| = 8

=> (x - 4) + x = 8

=> 2x = 8 + 4

=> 2x = 12

=> x = 12 / 2

=> x = 6

2. Solve for t: |-5t+5|=|-5t+2|

Solution: |-(5t-5)| = |-(5t-2)|

=> 5t - 5 = 5t - 2

=> 5t - 5t = -2 + 5

=> 0 = 3

=> No solution

3. Solve for y: |-9y+4|=|3y+3|

Solution: |-(9y-4)| = |3y+3|

=> 9y - 4 = 3y + 3

=> 9y - 3y = 3 + 4

=> 6y = 7

=> y = 7/6