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You and your friend are having a contest to see who can earn more homework passes in your favorite class, Math. At the end of the year, you earned 4 more homework passes
than your friend. Together, you and your friend earn 24 homework passes. Write a
system of linear equations that represents this situation. How many homework passes do
each of you earn?

Answer :

Answer:

The number of homework passes earn by me is 14  

The number of homework passes earn by friend is 10

Step-by-step explanation:

Given as :

The number of homework passes earn by me = 4 + number of homework passes earn by friend

And

The number of homework passes earn by me + number of homework passes earn by friend = 24

Let The number of homework passes earn by friend = f

So, The number of homework passes earn by me = m = 4 + f

i.e m = 4 + f              

Or, m - f = 4                   ............A

And

m + f = 24                        .............B

Now, Solving eq A and eq B

(m - f) + (m + f) = 4 + 24

Or, ( m + m ) + (- f + f ) = 28

Or, 2 m + 0 = 28

∴  m = [tex]\dfrac{28}{2}[/tex]

i.e m = 14

So, The number of homework passes earn by me = m = 14

Now, Put the value of m into eq A

∵  m - f = 4

Or, f = m - 4

Or, f = 14 - 4

i.e f = 10

So, The number of homework passes earn by friend = f = 10

Hence, The number of homework passes earn by me is 14  and

The number of homework passes earn by friend is 10   Answer

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