Let's assume the number of phones produced without answering machines as 'x' and the number of phones produced with answering machines as 'y'.
According to the given information,
x + y = 600 (total number of phones produced)
y = 2x (demand for phones with answering machines is twice as great as without)
To solve this system of linear equations, we can use the substitution method.
Substitute the value of y from the second equation into the first equation:
x + 2x = 600
3x = 600
x = 600/3
x = 200
Substitute the value of x into the second equation to find y:
y = 2(200)
y = 400
Therefore, we would schedule 200 phones without answering machines and 400 phones with answering machines for production.
Solve each system of linear equation and explain any method you used:
-A company produces telephones at the rate of 600 per day. A customer survey indicates that the demand for phones with built in answering machines is twice as great as the demand for phones without the machines. If you are deciding the production quota for the day, how many phones with answering machines would you schedule for production? How many without answering machines would you make?
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