To solve the system of equations, we can use the method of substitution or elimination.
Using the method of substitution:
1. Solve one equation for one variable in terms of the other variable. Let's solve the first equation for y:
-5.65x + y = 23.5
y = 5.65x + 23.5
2. Substitute this expression for y into the second equation:
0.71x + (5.65x + 23.5) = 52.1
3. Simplify and solve for x:
6.36x + 23.5 = 52.1
6.36x = 52.1 - 23.5
6.36x = 28.6
x = 28.6 / 6.36
x ≈ 4.5
4. Substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:
-5.65(4.5) + y = 23.5
-25.425 + y = 23.5
y = 23.5 + 25.425
y ≈ 48.9
The solution to the system of equations is approximately (4.5, 48.9) which represents the year and number of subscribers, respectively.
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: −5.65x+y=23.5
Service B: 0.71x+y=52.1
Question content area bottom
Part 1
The solution set with an ordered pair of the form (year, number of subscribers) is enter your response here.
1 answer
1 answer