Let's break down the problem presented in the image.

Problem Summary:

• Julia bought 3 cans of chili and 2 jars of salsa for $10.07.
• Marcia bought 2 cans of chili and 4 jars of salsa for $12.98.

We need to write two equations that represent this information.

Step 1: Define Variables

Let:

• $c$ = cost of one can of chili (in dollars).
• $s$ = cost of one jar of salsa (in dollars).

Step 2: Create the Equations

• From Julia’s purchase: $3c + 2s = 10.07$ (3 cans of chili and 2 jars of salsa cost $10.07)

• From Marcia’s purchase: $2c + 4s = 12.98$ (2 cans of chili and 4 jars of salsa cost $12.98)

These are the two equations that represent the given information:

1. $3c + 2s = 10.07$
2. $2c + 4s = 12.98$

Would you like to go through the solution of solving these equations, or would you like me to check any particular step?

Here are a few related questions to explore further:

1. How can we solve this system of equations using substitution or elimination?
2. What does it mean to solve a system of linear equations graphically?
3. How can you check if your solution to the system of equations is correct?
4. What are the properties of a linear equation like these?
5. How do word problems translate into mathematical equations?

Tip: When writing equations based on word problems, make sure to define your variables clearly before creating the equations.