Answer:
Step-by-step explanation:
Given
Equations are and
take
Put the value of y in another equation
Put the value of x in y
Hence,
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If the series is made up of numbers in an arithmetic progression, you have
where
is the first term and 
is the common difference between terms.
Since the last term in the series is
, you have
Solve the system
and you'll find that the first term is
(with 
).
where
Since the last term in the series is
Solve the system
and you'll find that the first term is
Hello!
Let's write some important information contained in the exercise:
• hotdogs: $2.59 (,x,)
,• hamburgers: $5.29 (,y,)
He needs 11 packages. Let's write it:
• x + y = 11
He spent a total of $39.29. We can write it as:
• 2.59x + 5.29y = 39.29
Now, let's solve these two equations as a linear system:
First, let's isolate x in equation A:
Now, we will replace where's x by 11-y in equation B:
As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.