Answer: The required time needed to deliver 72 papers is 2 hours 24 minutes.
Step-by-step explanation: Given that 9 papers are delivered in 18 minutes.
We are to determine the time needed to deliver 72 papers.
We will be using the UNITARY method to solve the problem.
We have
Time needed to deliver 9 papers = 18 minutes.
So, time needed to deliver 1 minute will be
Therefore, time needed to deliver 72 papers is given by
Thus, the required time needed to deliver 72 papers is 2 hours 24 minutes.
You want to isolate one of the variables (x or y) so you can plug it into the other equation. The easiest one is isolating the 2nd equation.
3x² - 16x + 13 - y = 0 Add y on both sides
3x² - 16x + 13 = y
You can use this and plug it into the first equation
y - 12x + 15 = 3x²
(3x² - 16x + 13) - 12x + 15 = 3x²
3x² - 16x + 13 - 12x + 15 = 3x² Combine like terms
3x² - 28x + 28 = 3x² Subtract 3x² on both sides
-28x + 28 = 0 Add 28x on both sides
28 = 28x Divide 28 on both sides
1 = x
Now that you know x, you can plug it into either of the equation to find y
3(1)² - 16(1) + 13 - y = 0
3 - 16 + 13 - y = 0
-y = 0 Divide -1 on both sides
y = 0
x = 1, y = 0