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

f(x) = 5.5x − 13
g(x) = −5x + 18.5

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

f(x) = g(x)

f(x) = 5.5x - 13
g(x) = -5x + 18.5

5.5x - 13 = -5x + 18.5
5.5x + 5x = 18.5 + 13
10.5x = 31.5
x = 31.5/10.5
x = 3

f(3) = 5.5(3) - 13 = 16.5 - 13 = 3.5
g(3) = -5(3) + 18.5 = -15 + 18.5 = 3.5

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JackelineCasarez JackelineCasarez · Answer 2 · 2018-12-18T11:53:43+01:00

JackelineCasarez JackelineCasarez

18-12-2018

Answer:

The solution of the equation f(x) = 5.5x − 13 and g(x) = −5x + 18.5 is 3 .

Step-by-step explanation:

As given

f(x) = g(x)

Here

f(x) = 5.5x − 13

g(x) = −5x + 18.5

Put in the above equation

5.5x − 13 = −5x + 18.5

5.5x + 5x = 18.5 + 13

10.5x = 31.5

[tex]x = \frac{31.5}{10.5}[/tex]

x = 3

Therefore the value of x is 3 .

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Determine the solution to f(x) = g(x) using the following system of equations: f(x) = 5.5x − 13 g(x) = −5x + 18.5 x = 1 x = 2 x = 3 x = 4

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

f(x) = 5.5x − 13
g(x) = −5x + 18.5

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