Solving Systems of Equations

The video tutorial continues a fantasy adventure where the viewer must solve a troll's riddle to cross a bridge. The riddle involves representing clues as a system of equations. The video demonstrates solving these equations visually by plotting them on a graph. The tutorial guides the viewer through plotting two equations, finding their intersection, and verifying the solution. The solution reveals the number of $5 and $10 bills the troll has, allowing the viewer to cross the bridge.

What was the main challenge faced by the characters in the adventure?

• Climbing a mountain

• Navigating through a maze

• Crossing a bridge guarded by a troll

• Finding a hidden treasure

Why did the characters need to solve the troll's riddle?

• To avoid being pushed into the water

• To win a prize

• To gain magical powers

• To find a secret passage

How were the troll's clues represented mathematically?

• As a single equation

• As a geometric shape

• As a set of inequalities

• As a system of equations

What method was used to solve the system of equations in the video?

• Trial and error

• Matrix operations

• Graphical visualization

• Algebraic substitution

What does the f-axis represent in the graph?

• Number of fives

• Number of clues

• Number of tens

• Total amount of money

What is the significance of the intersection point on the graph?

• It represents the total money needed

• It marks the end of the adventure

• It shows the solution to the system of equations

• It indicates the starting point of the journey

How many $5 bills did the characters have according to the solution?

• 800

• 600

• 500

• 700

How many $10 bills did the characters have according to the solution?

• 400

• 300

• 200

• 100

What was the total value of the $5 bills?

• $3,000

• $4,000

• $4,500

• $3,500

What was the total value of the $10 bills?

• $3,000

• $2,500

• $2,000

• $1,500