Understanding the Elimination Method

The video tutorial demonstrates solving a system of equations using the elimination method. It begins by introducing a problem where the sum of two numbers is 70 and their difference is 24. The tutorial guides through formulating equations from the problem statement, assuming x is the larger number and y is the smaller one. By adding the equations, the y terms are eliminated, allowing for the calculation of x. The value of x is then substituted back to find y. The solution is verified by checking both the sum and difference constraints.

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

• 50

• 70

• 60

• 80

What is the difference between the two numbers?

• 14

• 24

• 34

• 44

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

• Matrix

• Substitution

• Graphing

• Elimination

What happens to the y terms when the two equations are added?

• They become negative

• They remain unchanged

• They cancel out

• They double

What is the value of x after solving the equation 2x = 94?

• 48

• 47

• 46

• 45

Which equation is used to find the value of y after x is determined?

• y = x - 24

• x + y = 70

• x - y = 24

• 2x = 94

What is the value of y when x is 47?

• 21

• 22

• 23

• 24

What is the result of adding 47 and 23?

• 70

• 90

• 80

• 60

What is the result of subtracting 23 from 47?

• 22

• 20

• 21

• 24

Do the values of x and y satisfy both original conditions?

• Only the sum condition

• No

• Only the difference condition

• Yes