Question

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

Answer 1

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

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

`x = (31.5)/(10.5)`

x = 3

Therefore the value of x is 3 .

Answer 2

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