Respuesta :

Answer:

[tex]h(x)=\frac{1}{5}x[/tex]

Step-by-step explanation:

To write a formula for a function, such as h(x), you need to solve for y.

[tex]6x+y=4x+11y[/tex]
[tex]-4x[/tex]      [tex]-4x[/tex]
[tex]2x+y=11y[/tex]
    [tex]-y[/tex]       [tex]-y[/tex]
[tex]2x=10y[/tex]
[tex]/10[/tex]   [tex]/10[/tex]
[tex]\frac{2}{10}x=y[/tex]
[tex]y=\frac{1}{5}x[/tex]

y and h(x) mean the same thing, so you can subsitute h(x) for y in order to fit the question.

Therefore, [tex]h(x)=\frac{1}{5}x[/tex]

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