Daniel and Audrey are reading the same book. At the beginning of the month, Daniel was on page 49 and Audrey was on page 22. Dan
iel will read 17 pages per day and Audrey will read 20 pages per day. Let
D
D represent the page of the book that Daniel is on at the end of
t
t days into the month, and let
A
A represent the page of the book that Audrey is on at the end of
t
t days into the month. Write an equation for each situation, in terms of
t
,
t, and determine what page Daniel and Audrey will be on on the day they are both on the same page.
Can you plz help me because it says that it’s wrong?
D
D represent the page of the book that Daniel is on at the end of
t
t days into the month, and let
A
A represent the page of the book that Audrey is on at the end of
t
t days into the month. Write an equation for each situation, in terms of
t
,
t, and determine what page Daniel and Audrey will be on on the day they are both on the same page.
Can you plz help me because it says that it’s wrong?
1 answer:
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Answer:
Step-by-step explanation:
It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).
Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).
Now line up the equations (they are already lined up - convenient) and add them from top to bottom.
The -4x and 4x are opposites, so they cancel out.
Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.
Divide both sides by 8.
Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.
Simplify.
Add 2 to both sides.
Divide both sides by 4.
The final answer is .