Solving Systems of Equations Using Elimination

The video tutorial explains how to solve systems of equations using the elimination method. It begins with an example where terms cancel out automatically, leading to a straightforward solution. The tutorial then covers a more complex example where terms do not cancel automatically, requiring multiplication to create terms that cancel. The process involves finding the least common multiple and adjusting equations accordingly to solve for the variables.

What is the first step in solving systems of equations using the elimination method?

• Find the determinant

• Graph the equations

• Ensure equations are in standard form

• Convert to slope-intercept form

In the simple system example, what happens to the y terms?

• They cancel each other out

• They are multiplied

• They are added together

• They are divided

After finding x in the simple system, what is the next step?

• Check the solution with a calculator

• Graph the solution

• Substitute x back into one of the original equations

• Solve for z

What is the purpose of multiplying equations in the complex system example?

• To find the slope

• To make the equations longer

• To simplify the equations

• To create terms that cancel out

What is the least common multiple used for in the complex system example?

• To find the greatest common divisor

• To determine the order of operations

• To create canceling terms

• To solve for y directly

In the complex system, what is the result after simplifying the equations?

• y equals 0

• x equals 0

• x equals -2 and y equals -4

• x and y terms cancel out

What is the final ordered pair solution for the complex system?

• (10, -1)

• (5, 5)

• (-2, -4)

• (0, 0)

What should you do after solving a system of equations?

• Graph the solution

• Verify the solution by substituting back into the original equations

• Ignore the solution

• Multiply the solution by 2

What is the next step after finding y in the complex system?

• Check the solution with a calculator

• Substitute y back into one of the original equations

• Graph the solution

• Solve for z

What is encouraged at the end of the tutorial?

• To watch another video

• To review the notes

• To try solving a new system independently

• To take a break