fatimaabbas0617 fatimaabbas0617
  • 18-03-2020
  • Mathematics
contestada

For a given input value x, the function f outputs a value y to satisfy the following equation.
-5x– 4y = -8
Write a formula for f(x) in terms of x
f(x)=?

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 26-03-2020

Answer:

[tex]f(x) =- \frac{5}{4}x + 2 [/tex]

Step-by-step explanation:

The given equation is

[tex] - 5x - 4y = - 8[/tex]

Multiply through by -1 to get:

[tex]5x + 4y = 8[/tex]

We can solve for y by Subtracting 5x from both sides.

[tex]4y = - 5x + 8[/tex]

Divide through by 4

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

The formula for f(x) is

[tex]f(x) =- \frac{5}{4}x + 2 [/tex]

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