Solving a System of Equations

The video tutorial explains how to solve a problem involving the sum and difference of two numbers using a system of equations. It introduces the problem, sets up the equations, and demonstrates solving them using the substitution method. The tutorial concludes by finding the values of the two numbers, 45 and 7, that satisfy the given conditions.

What is the sum of the two numbers given in the problem?

• 38

• 52

• 7

• 45

What is the difference between the two numbers?

• 45

• 52

• 7

• 38

What equation represents the sum of the two numbers?

• X + Y = 52

• X = 38 + Y

• Y = 7

• X - Y = 38

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

• Graphical Method

• Substitution Method

• Matrix Method

• Elimination Method

Which method will be explored in the next video to solve the same problem?

• Matrix Method

• Graphical Method

• Elimination Method

• Substitution Method

What is the first step in the substitution method as used in this video?

• Add the two equations

• Solve for X in equation 2

• Multiply the equations

• Solve for Y in equation 1

After substituting X = 38 + Y into equation 1, what is the resulting equation?

• 38 + Y = 52

• 38 + 2Y = 52

• X + Y = 52

• X - Y = 38

What is the value of Y after solving the equation 38 + 2Y = 52?

• 14

• 7

• 45

• 38

What is the value of X once Y is found to be 7?

• 38

• 45

• 52

• 7

What are the two numbers that satisfy both the sum and difference conditions?

• 45 and 7

• 38 and 14

• 30 and 22

• 52 and 0