Solving Systems Of Equations Through Practical Applications

The video tutorial covers solving systems of equations through three examples. The first example involves finding two numbers with a given sum and difference using the elimination method. The second example calculates the dimensions of a rectangle given its perimeter and a relation between its width and length, using substitution and handling fractions. The final example compares rental costs of two vehicles to determine the mileage at which their costs are equal, using substitution and handling decimals. Each example demonstrates different methods and techniques for solving systems of equations.

What is the sum of the two numbers if their sum is 93 and their difference is 9?

• 42

• 102

• 93

• 51

Which method is highlighted for solving the system of equations in the first example?

• Matrix

• Elimination

• Substitution

• Graphing

What is the perimeter of the rectangle in the second example?

• 160 yards

• 93 yards

• 50 yards

• 29 1/3 yards

How is the width of the rectangle related to its length?

• 4 more than half the length

• Half the length

• Equal to the length

• Twice the length

What is the length of the rectangle in the second example?

• 50 yards

• 29 1/3 yards

• 76 yards

• 88/3 yards

What is the fixed cost for renting the 18-foot truck from Sunset?

• $0.50

• $0.75

• $49.95

• $59.95

At what mileage do the costs of renting from Sunset and Cactus become equal?

• 40 miles

• 30 miles

• 60 miles

• 50 miles

What is the variable cost per mile for the Cactus van?

• $1.00

• $0.75

• $0.50

• $0.25

Which method is used to solve the cost comparison problem?

• Elimination

• Substitution

• Graphing

• Matrix

What is the total cost equation for the Sunset truck?

• C = 59.95 + 0.75x

• C = 59.95 + 0.50x

• C = 49.95 + 0.75x

• C = 49.95 + 0.50x