To solve the system of equations, we need to solve for x and y. Let's solve for y in each equation first.
For Service A, we have:
-5.63x + y = 23.8
To solve for y, we can add 5.63x to both sides of the equation:
y = 5.63x + 23.8
For Service B, we have:
0.71x + y = ?
To solve for y, we can subtract 0.71x from both sides of the equation:
y = -0.71x + ?
Now let's find the value of "?" for Service B. We are given that x=0 represents 2012 and x=5 represents 2017.
For x=0 (2012):
0.71(0) + y = ?
0 + y = ?
y = ?
For x=5 (2017):
0.71(5) + y = ?
3.55 + y =?
y = ?
To find the values of y for x=0 and x=5, we will use the given equations. Let's substitute these values into the equations:
For Service A, when x=0:
y = 5.63(0) + 23.8
y = 0 + 23.8
y = 23.8
For Service A, when x=5:
y = 5.63(5) + 23.8
y = 28.15 + 23.8
y = 51.95
For Service B, when x=0:
y = -0.71(0) + ?
y = 0 + ?
y = ?
For Service B, when x=5:
y = -0.71(5) + ?
y = -3.55 + ?
y = ?
Now we have the values of y for each equation when x=0 and x=5.
Service A:
(2012, 23.8)
(2017, 51.95)
Service B:
(2012, ?)
(2017, ?)
To find the values of y for Service B, we will need more information or another equation. Without additional information, we cannot solve for the values of y and therefore cannot determine the solution set with an ordered pair for Service B.
If x=0 represents 2012 and x=5 represents 2017, the number of subscribers y (in millions) to the two services can be modeled by the linear equations in the following system. Solve this system. Express values as decimals rounded to the nearest tenth. Write the solution set with an ordered pair of the form (year, number of subscribers).
Service A: −5.63x+y=23.8
Service B: 0.71x+y=
1 answer