Question

How do I answer this system graphicallyf(x) = 3x-6g(x) -1/2 x +1

Answer 1

We have the next system

`\begin{gathered} f(x)=y=3x-6 \\ g(x)=y=-(1)/(2)x+1 \end{gathered}`

the equations above represent two lines, we can know the solution graphically because the solution is where the lines intercept each other

we can graph each function

the image above is the graph of the functions

f(x) is the blue line

g(x) is the purple line

the solution of the system is where the lines intercept each other in this case the solution is

y=0, x=2