Solving Real-Life Problems with Systems of Equations

The video tutorial explains how to solve real-life problems using a system of equations. It begins with a problem statement involving the cost of pencils and notebooks, then graphically represents the problem for better understanding. The tutorial formulates equations and uses the reduction method to solve them, finding the cost of each item. It concludes with verifying the solution and providing tips for solving similar problems.

What is the total cost of four pencils and two notebooks?

• 625 pesos

• 290 pesos

• 150 pesos

• 400 pesos

How many notebooks were bought in the second purchase?

• Three

• Four

• Five

• Two

What variable is used to represent the cost of a pencil?

• x

• z

• y

• g

Which method is used to solve the system of equations in the video?

• Substitution

• Graphing

• Reduction

• Matrix

What is the first step in the reduction method as explained in the video?

• Divide the equations

• Add the equations

• Subtract the equations

• Equalize the coefficients

What is the cost of one pencil as found in the video?

• 20 pesos

• 15 pesos

• 12.5 pesos

• 10 pesos

What is the cost of one notebook as found in the video?

• 100 pesos

• 110 pesos

• 120 pesos

• 130 pesos

Which equation is used to verify the solution in the video?

• 2x + 5y = 625

• 4x + 2y = 290

• 3x + 4y = 500

• x + y = 100

What is the sum of the two numbers in the additional problem mentioned at the end?

• 29

• 51

• 11

• 40

What is the difference between the two numbers in the additional problem mentioned at the end?

• 40

• 29

• 11

• 51