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Answer:
h(x) = x/5
Step-by-step explanation:
We want to know the value of y to satisfy the given equation. So:
[tex]6x+y=4x+11y\\\\y-11y=4x-6x\\\\-10y=-2x\\\\10y=2x\\\\y=\dfrac{2x}{10}\\\\\boxed{y=\dfrac{x}{5}}[/tex]
Hence, since h(x) returns the value of y we found before:
[tex]\boxed{h(x) = \dfrac{x}{5}}[/tex]