Question

can you figure out how much each item costs?
the goal is to figure out the cost of a single burger (b) and one order of fries (f).
you can use this system of equations:
$$ \begin {cases} b + 2 f = 11 \\\\ 2 b + f = 13 \end {cases} $$
question 1
what are the prices of one burger and one fries order?
burger = $5, fries = $3
burger = $4, fries = $3
burger = $6, fries = $2
burger = $3, fries = $4
question 2
what does it mean that one pair of values works in both combos?
its the solution to the system

Explanation:

Step1: Solve the system of equations

We have the system of equations:

$$\begin{cases} b + 2f=11\\ 2b + f = 13 \end{cases}$$

From the first equation \(b=11 - 2f\).

Step2: Substitute \(b = 11-2f\) into the second equation

Substitute \(b\) into \(2b + f=13\):

$$
LATEXBLOCK1
$$

Step3: Find the value of \(b\)

Substitute \(f = 3\) into \(b=11-2f\), we get \(b=11-2\times3=11 - 6=5\)

Answer:

A. Burger = $5, Fries = $3