Equation: x = (ax-a+4)4. For what value of a is the equation an identity?
x = (ax-a+4)4 simplify
x = 4ax - 4a + 16
x - 16 = 4ax - 4a factor the rght side
x - 16 = (4a)(x - 1) divide both sides by 4(x - 1)
[(x - 16) / [(4(x -1)] = a
An identity: An equation that is true no matter what values are chosen.