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

f(x) = 3x + 12
g(x) = −9.5x − 13

x = −2
x = −3
x = 4
x = 5

Question

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

f(x) = 3x + 12
g(x) = −9.5x − 13

x = −2
x = −3
x = 4
x = 5

mathmale · Answer

If f(x) = g(x), then you must equate 3x+12 and -9.5x-13.  Do that now, please.

Next, solve the resulting equation.

mathmale · Answer

Where's your new equation?

anonymous · Answer

wait do what?

mathmale · Answer

you must equate 3x+12 and -9.5x-13.  Do that now, please.

Next, solve the resulting equation.

unklerhaukus · Answer

f(x) = 3x + 12
       g(x) = -9.5x - 13
&
        f(x) = g(x)

SO

 3x + 12 = -9.5x - 13

Solve for x.

shadowreaper810 · Answer

f(x)=3x+12
g(x)=-9.5x-13

given that f(x)=g(x)

so substitute both of them with the given values..

Now, 3x+12=-9.5x-13.

solve for x