Solving Word Problems with Systems of Linear Equations

This tutorial teaches how to solve a word problem by setting up a system of equations. It covers writing equations for Diego and Lynn's financial situations, using the y=mx+b form. Diego saves money weekly, while Lynn spends money, leading to equations with positive and negative slopes, respectively. The tutorial demonstrates solving the system to find when they have the same amount of money and graphing the solution. The video concludes with a reminder to subscribe for more tutorials.

What is the first step in solving a word problem using a system of equations?

• Graphing the equations

• Calculating the slope

• Setting up equations for each situation

• Finding the y-intercept

In the equation y = mx + b, what does the variable 'm' represent?

• The slope

• The constant term

• The x-intercept

• The y-intercept

What is Diego's initial amount of money before he starts saving?

• $0

• $60

• $11

• $5

How much does Diego save each week?

• $11

• $2

• $60

• $5

What is the slope of Diego's equation?

• 11

• -2

• 5

• 60

What is the initial amount of money Lynn starts with?

• $11

• $5

• $60

• $0

Why is the slope of Lynn's equation negative?

• Because she is losing money

• Because she is gaining money

• Because she has no money

• Because she is saving money

At what week will Diego and Lynn have the same amount of money?

• 5 weeks

• 8 weeks

• 6 weeks

• 7 weeks

How much money will Diego and Lynn each have at the 7-week mark?

• $35

• $46

• $60

• $11

What is the point of intersection of the two equations on the coordinate plane?

• (8, 60)

• (7, 46)

• (5, 35)

• (6, 46)