Solving Systems of Equations by Elimination

Tyler from Tarver Academy introduces solving systems of equations using the elimination method. He explains the process with two examples, highlighting the importance of making coefficients opposites to eliminate variables. The video concludes with a mention of additional resources and a sponsor acknowledgment.

What is the main goal when solving systems of equations by elimination?

• To determine if the lines are parallel

• To find the point where the lines intersect

• To find the y-intercept of the lines

• To find the slope of the lines

Why does the instructor prefer the term 'elimination' over 'addition'?

• Because it is a more common term

• Because it sounds cooler

• Because it is a more accurate term

• Because it is easier to understand

What is the first step in the elimination method?

• Finding the slope of the lines

• Solving for y

• Stacking the equations on top of each other

• Graphing the equations

What should you do if the coefficients of x or y are not opposites?

• Add the equations as they are

• Multiply one or both equations by a number to make them opposites

• Subtract the equations

• Divide the equations by a common factor

In the simple example, what is the value of x after elimination?

• 5

• 10

• 25

• 0

Which equation should you choose to substitute the value of x into?

• The one with the largest coefficients

• The one without a negative sign

• The one with the smallest coefficients

• The one with the most variables

In the complex example, what is the first step to make the coefficients of y opposites?

• Add the equations

• Multiply the top equation by 4

• Subtract the equations

• Divide the bottom equation by 4

After making the coefficients of y opposites, what is the next step?

• Subtract the equations

• Add the equations together

• Multiply the equations again

• Divide the equations

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

• 2

• -5

• 0

• 5

Where can you find more resources on solving systems of equations by elimination?

• None of the above

• Both Tarver Academy and Learning Bird

• Learning Bird

• Tarver Academy