Help me ill give 100 pts

Small pizza is for 1 person, Large pizza is for 5 people

Skills needed: System of Equations

Step-by-step explanation:

1) First, let's make two variables:

--> = how many people a large pizza can feed

--> = how many people a small pizza can feed

2) We need to use a system of equations to solve this --> A system is 2 or more equations with specific solutions for the variables involved.

Example:

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We can solve with elimination:

(Rewriting the first equation to look like the second one)

---> Then we add both:

When we add both equations, we eliminate the variable , solving for easily. After this, we can solve for

--->

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This is the elimination method of a system (Note: we can also subtract equations if needed)

3) Let's make a system for this problem:

---> 3 small pizzas (multiplied by the number of people it can feed) + 2 large pizzas (multiplied by the number of people it can feed) is for 13 people.

---> 3 small pizzas (multiplied by the number of people it can feed) + 4 large pizzas (multiplied by the number of people it can feed) is for 23 people.

4) We have two equations:

We can eliminate by subtracting both equations.

--->

We subtracted from which is just 0 (so it does not have to be shown)

We subtracted from which is just

On the right side: subtracted from which is just

----> , divide by -2,

, which means a large pizza is for 5 people.

Substituting into the first equation (it does not matter which one you substitute into) will get

Small pizza is for 1 person.

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step-by-step explanation: