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?

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 =

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

by definition, an arc subtended by a central angle of some given measure has the same measure. so .