Question

two movie tickets and one popcorn cost $13.
one movie ticket and one popcorn cost $8.
what is the cost of one movie ticket
let x = cost per movie ticket
y = cost per popcorn
2x + y = 13
x + y = 8

○ $6
○ $5
○ $3
○ $4

Explanation:

Step1: Subtract the two equations

We have the system of equations:
$$2x + y = 13$$
$$x + y = 8$$
Subtract the second equation from the first equation:
$$(2x + y) - (x + y) = 13 - 8$$
Simplify the left side: $2x + y - x - y = x$
Simplify the right side: $5$
So we get $x = 5$

Answer:

$5$ (corresponding to the option: $5$)