you will present a problem that can be solved using a system of two linear equations in
the same two variables each (a 2×2 system).
First, please remember that you must include a reference cited using APA style in your
response to the discussion each week.
In your initial post, you will…
(1) present the word problem,
(2) clearly define the two variables, and
(3) write the two equations that each contain the same two variables you defined in
step(2)
Before posting your problem, please be sure to solve it yourself.
HOWEVER, please do NOT post the solution to your problem. One of your classmates
will solve your system as their follow up post.
As always, please be sure to include a reference cited using APA style.
At a concession stand, seven hot dogs and two hamburgers cost $12.75; two hot dogs and seven
hamburgers cost $16.50. Find the cost of one hot dog and the cost of one hamburger.
Let x = cost of one hot dog
y = cost of one hamburger
Since there are two unknowns in this problem, we need two different equations to model the
problem.
To find the first equation, we note that the cost of seven hot dogs and two hamburgers is
$12.75. So we have…
7x + 2y = 12.75
To find the second equation, we note that the cost of the two hot dogs and seven hamburgers
is $16.50. So we have….
2x + 7y = 16.50
So, the system of equations we have is…
7x + 2y = 12.75
2x + 7y = 16.50
We can solve this system by using the “elimination” or the “substitution” method.
Please be sure to solve your system before your post it, but please do not post the solution to
your system in our Discussion. Your classmates will solve the system you post.