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Answer:
9 TV ads and 20 radio ads
Step-by-step explanation:
He has $37,000 to spend. He has to sum that amount of money between the TV and radio ads. Each TV ad costs $3000 while each radio ad costs $500, so the equation that represents that is 37000 = 3000x + 500y
The same happens with the amount of voters he needs to reach, the equation is 130000 = 10000x + 2000y
The system that represents this is
And the augmented matrix is
First we divide the first row by 3000 and the second by 10000:
Then we multiply the second row by (-1) and we add the first row:
Now we multiply the second row by -30:
Finally, to the first row we add the second one multiply by (-1/6):
So, x = 9 and y = 20
That means 9 TV and 20 radio ads will contact 130,000 voters using the allocated funds