# Manipulating systems of equations

In this lesson you will manipulate systems of equations in order to eliminate an unknown

Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

## Question 5

Q1.3x+2y=5 AND 3x-2y=7. If I add these two equations together, which unknown will be eliminated?

1/5

Q2.3x+2y=5 AND 3x-2y=7. If I subtract the two equations, which unknown will be eliminated?

2/5

Q3.3x-5y=17 AND 2x-5y=10. Subtract the first equation from the second equation.

3/5

Q4.2x-5y=10 AND 3x-5y=17. Add the two equations together.

4/5

Q5.3x-5y=17 AND 7x-5y=20. How can I eliminate y from these simultaneous equations?

5/5

Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

## Question 5

Q1.3x+2y=5 AND 3x-2y=7. If I add these two equations together, which unknown will be eliminated?

1/5

Q2.3x+2y=5 AND 3x-2y=7. If I subtract the two equations, which unknown will be eliminated?

2/5

Q3.3x-5y=17 AND 2x-5y=10. Subtract the first equation from the second equation.

3/5

Q4.2x-5y=10 AND 3x-5y=17. Add the two equations together.

4/5

Q5.3x-5y=17 AND 7x-5y=20. How can I eliminate y from these simultaneous equations?

5/5

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

Quiz:

# Manipulating systems of equations

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

## Question 5

Q1.x+y=6. Multiply this equation by 3.

1/5

Q2.x+y=3 AND 2x-y=5 This pair of equations has been transformed. Which of the following are equivalent to the original pair?

2/5

Q3.x+y=3 AND 2x-y=5 This pair of equations has been transformed. Which of the following are equivalent to the original pair?

3/5

Q4.2x+5y=9 AND 5x+4y=14. Solve the simultaneous equations.

4/5

Q5.10x+5y=5 AND 3x-5y=34. Solve the simultaneous equations.

5/5

Quiz:

# Manipulating systems of equations

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

## Question 5

Q1.x+y=6. Multiply this equation by 3.

1/5

Q2.x+y=3 AND 2x-y=5 This pair of equations has been transformed. Which of the following are equivalent to the original pair?

2/5

Q3.x+y=3 AND 2x-y=5 This pair of equations has been transformed. Which of the following are equivalent to the original pair?

3/5

Q4.2x+5y=9 AND 5x+4y=14. Solve the simultaneous equations.

4/5

Q5.10x+5y=5 AND 3x-5y=34. Solve the simultaneous equations.

5/5

# Lesson summary: Manipulating systems of equations

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