joseluis2502
contestada

(05.03 LC)
Determine the solution to f(x) = g(x) using the following system of equations: (5 points)

f(x) = 5.5x − 13
g(x) = −5x + 18.5


x = 1
x = 2
x = 3
x = 4

Respuesta :

If g(x) is equal to f(x), then they are the same value.

Put 5.5x - 13 in place of g(x) in the second equation.

5.5x - 13 = -5x + 18.5

Add 13 to both sides.

5.5x = -5x + 31.5

Add 5x to both sides.

10.5x = 31.5

Divide 10.5 on both sides.

x = 3

Hope this helps! :)

Answer:

The solution to f(x)=g(x) is:

                             x=3

Step-by-step explanation:

We are given to functions f(x) and g(x) by:

            [tex]f(x)=5.5x-13[/tex]

and   [tex]g(x)=-5x+18.5[/tex]

Now, we are asked to determine the solution of:

           [tex]f(x)=g(x)[/tex]

i.e. we are asked to find the possible values of x where the two functions are equal.

i.e.

[tex]5.5x-13=-5x+18.5[/tex]

Now , on adding both side of the equality by 5x and 13 we get:

[tex]5.5x+5x=18.5+13\\\\i.e.\\\\10.5x=31.5\\\\\\i.e.\\\\\\x=\dfrac{31.5}{10.5}\\\\i.e.\\\\x=3[/tex]

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