Solving Systems of Equations

The video tutorial explains how to solve linear equations using the elimination method. It begins with an introduction to the method, followed by a detailed walkthrough of two example problems. The instructor demonstrates how to eliminate variables, solve for unknowns, and verify the solutions. The video concludes with a summary of the steps involved in the elimination process.

What is the required format for equations when using the elimination method?

• ax + by = 0

• ax - by = c

• ax + by = c

• ax - by = 0

In the first example, what value is found for y after elimination?

• 2

• 3

• 0

• 1

After finding y in the first example, what is the next step to find x?

• Add y to the equation

• Substitute y into one of the original equations

• Divide y by 2

• Multiply y by 2

What is the value of x in the first example after solving?

• -1

• 0

• 1

• 2

How do you verify the solution in the first example?

• By checking if x and y satisfy the original equations

• By solving another equation

• By graphing the equations

• By using a calculator

In the second example, what is the first step to eliminate y?

• Subtract the equations

• Add the equations

• Divide the equations

• Multiply the equations

What is the value of x in the second example after solving?

• 13

• 10

• 11

• 12

After finding x in the second example, how is y calculated?

• By dividing x by 2

• By substituting x into one of the original equations

• By adding x to the equation

• By multiplying x by 2

What is the value of y in the second example after solving?

• 53

• 52

• 54

• 55

How do you verify the solution in the second example?

• By checking if x and y satisfy the original equations

• By solving another equation

• By using a calculator

• By graphing the equations