Question

(05.03 LC)

Determine the solution to f(x) = g(x) using the following system of equations:
f(x) = 3x − 23
g(x) = −4.5x + 7


x = 2

x = 4

x = −2

x = −4

Answer 1

Hello there,

(05.03 LC)

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

f(x) = 3x − 23

g(x) = −4.5x + 7

Answer: x = 4

Answer 2

`f(x)=3x-23,\ g(x)=-4.5x+7\\\\f(x)=g(x)\iff3x-23=-4.5x+7\qquad\text{add 23 to both sides}\\\\3x=-4.5x+30\qquad\text{add 4.5x to both sides}\\\\7.5x=30\qquad\text{divide both sides by 7.5}\\\\\boxed{x=4}`