Your cable television company offers two plans: basic service with one movie channel for $35 or basic with two movie channels for $45. What is the charge for basic cable and for a movie channel?
dealing- subs. and elimin.
m = charge for a movie.
b = charge for basic.
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m+b=$35
2m+b=45
Solve the two equations simultaneously for m and b.
Post your work if you get stuck.
thanks! its just really confuses me how to set up the different types of story problems.
m+b=$35
2m+b=$45/-1
m+b=$35
-2m+-b=$45
-1m=$80
m=-$80
To find the charge for basic cable and a movie channel, we can use a system of equations and solve for the variables.
Let's assume that the charge for basic cable is represented by the variable "B" and the charge for a movie channel is represented by the variable "M".
From the given information, we have two equations:
Equation 1: B + M = 35 (basic service with one movie channel for $35)
Equation 2: B + 2M = 45 (basic service with two movie channels for $45)
To find the values of B and M, we can use the method of substitution or elimination.
Let's use the method of elimination:
Multiply Equation 1 by -1:
-1(B + M) = -1(35)
- B - M = -35
Now, add this new equation to Equation 2:
(B + 2M) + (-B - M) = 45 + (-35)
This simplifies to:
M = 10
Now that we have the value of M, we can substitute it back into either Equation 1 or Equation 2 to find the value of B.
Let's substitute it into Equation 1:
B + (10) = 35
B = 25
Therefore, the charge for basic cable is $25 and the charge for a movie channel is $10.