# Lectures - 5.2 Formulation and Solution in Two Variables

Quiz 5.2 #1 - Substitution Method

2x + 3y = 50

4x + 4y = 80

Quiz 5.2 #2 - Elimination Method

How many solutions does the following system of equations have?

3x + y = 10

6x + 2y = 15

- A. Zero
- B. One
- C. Infinitely Many

Quiz 5.2 #3 - System of Equations Word Problem

Formulate system of equation and solve for the following problem:

Justin’s farming LLC has decided to make a giant cornfield for which the length is 20% longer than the width,

and the perimeter needs too be 330 yards.

What are the lengths and widths?

- A. y = x + 2
- B. y = x - 2
- C. y = -x + 2