ABSOLUTE VALUE EQUATIONS-1

If │2x – 7 │= 42; Find  x

Solution

±(2x – 7 )= 42

2x -7= 42    OR   –(2x-7) = 42

2x – 7 = 42   OR   -2x+7= 42

2x = 42 + 7    OR   -2x = 42-7

2x = 49     OR   -2x  =  35

2      2                 2        2

x = 24.5  OR  x = 17.5

Hence x = 24.5 OR x = 17.5     

TRY THIS...............................

If │4x - 16 │= 48; Find  x