For a given input value a, the function h outputs a value b to satisfy the following equation: 3a−5=−4b+1.Write a formula for h(a) in terms of a.

Answer 1

h(a) = -3a - 4b - 4

Answer 2

h(a) = b

3a-5 =-4b +1 subtract 1 from both sides

3a-5 -1= -4b

switch the sides

-4b = 3a -5 -1 = 3a -6 divide by -4

b = (3a-6)/-4 = -3a/4 -6/-4

= -3a/4 +3/2

h(a) = -3a/4 +3/2