Question

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

f(x) = 3x + 12
g(x) = −9.5x − 13

Answer 1

as it says... let f(x) = g(x)

so

3x + 12 = 9.5x -13

and solve for x

Answer 2

x=-2
x=-3
x=4
x=5

Answer 3

those are the choices

Answer 4

so do i swap f(x) and g(x) or do i get rid of f(x) and replace it with g(x)?

Answer 5

well start by adding 13 to both sides of the equation

3x + 12 = 9.5x - 13
+ 13 + 13
--------------------
3x + 25 = 9.5x
-3x -3x subtract 3x from both sides of the equation
---------------
25 = 6.5x


now solve for x..... you may like to check you have f(x) and g(x) correct as the solution is a decimal...

Answer 6

i got 3.84615384615

Answer 7

so do i just round up to 4?

Answer 8

or keep it at 3

Answer 9

that's why I asked if you had entered f(x) and g(x) correctly

Answer 10

i copy and paste it
ill check still tho

Answer 11

if you round the answer, it goes to 4

Answer 12

ik that and im guessing thats what i need to do because i checked and its right

Answer 13

ok... good luck

Answer 14

wait you for got to put 9.5x as a negative when you solved it

Answer 15

i just noticed

Answer 16

ohh wait its still 6.5 because you have to combine them :/

Answer 17

-4 isnt a choice...

Answer 18

its either b or c

Answer 19

hold on I'll redo it correctly and now it makes more sense

3x + 12 = -9.5x - 13
+13 +13 add 13
------------------
3x + 25 = -9.5x
-3x -3x subtract 3x from both sides
---------------
25 = -12.5x


now the solution should make sense

Answer 20

so its a?

Answer 21

YAY A WAS RIGHT I GOT A 100 ON HOMEWORK!