Find the solution to the system of equations by substitution. x = y + 1 4x + 3y = -31
1 answer:
You might be interested in
Answer:
A)
B) The value of f(-3) is 8
C) The value of t is 6
Step-by-step explanation:
* Lets explain how to solve the problem
- The relation is 3r + 2t = 18
- To change the relation as a function of f(t) you must to find r in terms
of t that means put r in one side and the others in the second side
A)
∵ 3r + 2t = 18
- Subtract 2t from both sides
∴ 3r = 18 - 2t
- Divide each side by 3
∴ r = 18/3 - 2t/3
∴ r = 6 - 2/3 t
- Change the equation to a function by using the function notation
∵ r = f(t)
∴
B)
- To evaluate f(-3) substitute t by -3 in f(t)
∵
∴
∴ f(-3) = 8
* The value of f(-3) is 8
C)
- Solve f(t) = 2 means find the value of t when r = 2
∵
∵ f(t) = 2
∴
- Subtract 6 from both sides
∴
- Multiply both sides by 3
∴ -12 = -2t
- Divide both sides by -2
∴ t = 6
* The value of t is 6