ANSWER
h(x) = 0.2x or x/5
EXPLANATION
We are given that the output values, y, of input values, x, in a function h(x) satisfy the equation:
6x + y = 4x + 11y
To write a formula for the function h(x) in terms of x, we simply have to find y.
This is because the value of a function is the same as the value of the output value (y).
Therefore:
6x + y = 4x + 11y
Collect like terms:
y - 11y = 4x - 6x
-10y = -2x
Divide through by -10:
y = (2/10)x = x/5
or
y = 0.2x
Since the value of y is the same as h(x):
=> h(x) = 0.2x or x/5
That is the formula for the function h(x).
