Algebra 36 - Solving Systems of Equations by Substitution

Professor Von Schmohawk introduces a lecture on finding the intersection point of two graphs using the substitution method. The lecture recaps a race between a tortoise and a hare, where the hare catches up to the tortoise. The professor explains how to use equations to determine the exact time and distance when they meet. The substitution method involves replacing one variable in an equation with another to solve for a unique value. The lecture concludes with a preview of the elimination method for solving systems of equations.

What was the hare doing during the first 4 hours of the race?

• Running slowly

• Eating

• Reading an algebra book

• Sleeping

What is the main goal of finding the intersection point of two graphs?

• To identify the starting point

• To determine the fastest runner

• To find a common solution to both equations

• To calculate the total distance covered

In the substitution method, what do you substitute in the first equation?

• The value of x in terms of y

• The value of y in terms of x

• The value of y for x

• The value of x for y

What is the calculated value of x when using the substitution method in this lecture?

• 3

• 5

• 16/3

• 8/3

How long after the race began do the tortoise and hare meet?

• 4 hours

• 5 hours and 20 minutes

• 6 hours

• 3 hours and 15 minutes

What is the distance from the starting point when the tortoise and hare meet?

• 1 and 1/2 miles

• 5 miles

• 2 and 2/3 miles

• 3 miles

What method will be introduced in the next lecture?

• Graphing

• Substitution

• Elimination

• Integration