a.
To describe: The system of equations in three variables that depicts number of episodes of sitcom, drama and talk show.
a.
Answer to Problem 7CYU
The system of equations is
Explanation of Solution
Given information:
Television shows include sitcom, drama and talk show. She downloaded 7 programs.
0.3 gigabyte memory was used by sitcom, 0.6 gigabyte by each drama and talk show. She downloaded 3.6 gigabytes. Episodes of drama is twice as that of sitcom.
Calculation:
It is provided that television shows include sitcom, drama and talk show. She downloaded 7 programs.
0.3 gigabyte memory was used by sitcom, 0.6 gigabyte by each drama and talk show. She downloaded 3.6 gigabytes.Episodes of drama is twice as that of sitcom.
Let number of episodes of sitcom isx , episodes of drama be y and episodes of talk showbe z .
She downloaded 7 programs, so
0.3 gigabyte memory was used by sitcom, 0.6 gigabyte by each drama and talk show. She downloaded 3.6 gigabytes.
So,
Episodes of drama is twice as that of sitcom.
So,
The system of equations obtained is,
b.
To calculate: The number of episodes of sitcom, drama and talk show.
b.
Answer to Problem 7CYU
The number of episodes of sitcom, drama and talk showare 2, 4 and 1 respectively.
Explanation of Solution
Television shows include sitcom, drama and talk show. She downloaded 7 programs.
0.3 gigabyte memory was used by sitcom, 0.6 gigabyte by each drama and talk show. She downloaded 3.6 gigabytes. Episodes of drama is twice as that of sitcom.
Calculation:
It is provided that television shows include sitcom, drama and talk show. She downloaded 7 programs.
0.3 gigabyte memory was used by sitcom, 0.6 gigabyte by each drama and talk show. She downloaded 3.6 gigabytes.Episodes of drama is twice as that of sitcom.
Let number of episodes of sitcom isx , episodes of drama be y and episodes of talk show be z .
She downloaded 7 programs, so
0.3 gigabyte memory was used by sitcom, 0.6 gigabyte by each drama and talk show. She downloaded 3.6 gigabytes.
So,
Episodes of drama is twice as that of sitcom.
So,
The system of equations obtained is,
Since,
Rewrite the first and the third equation,
Simplify the above equations,
Use the method of elimination to solve the system above.
Multiply first equation by 5 and subtract both the equations,
Therefore,
Now substitute
Now substitute
Therefore, solution is the coordinate pair,
Thus, number of episodes of sitcom, drama and talk show are 2, 4 and 1 respectively.
Chapter 3 Solutions
Algebra 2
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