Question

Help, Please!

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

f(x) = 3x + 12
g(x) = −9.5x − 13

Select one:
a. x = −2
b. x = −3
c. x = 4
d. x = 5

Answer 1

a. x = −2

f(x) = g(x)

Substitute the functions in

3x+12 = -9.5x -13

Add 9.5x to each side

3x+9.5x+12 = -9.5x+9.5x -13

12.5x +12 = -13

Subtract 12 from each side

12.5x+12-12 = -13-12

12.5x = -25

Divide by 12.5

12.5x/12.5 = -25/12.5

x = -2

Answer 2

a. x = −2

Explanation:

f(x) = g(x)

Substitute the functions in

3x+12 = -9.5x -13

Add 9.5x to each side

3x+9.5x+12 = -9.5x+9.5x -13

12.5x +12 = -13

Subtract 12 from each side

12.5x+12-12 = -13-12

12.5x = -25

Divide by 12.5

12.5x/12.5 = -25/12.5

x = -2