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CW 5.3 Solving systems of equations by Ellimination.

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CW 5.3 Solving systems of equations by Ellimination.

Example
Question 1
1.

Solve the system of equation by elimination



Write your answer as an ordered pair (x, y)

Remember to check your answer with the other equation

Question 2
2.

Solve the system of equation by elimination



Write your answer as an ordered pair (x, y)
Remember to check your answer with the other equation

Question 3
3.

Solve the system of equation by elimination




Write your answer as an ordered pair (x, y)
Remember to check your answer with the other equation

The following 2 questions are extra, if you are not getting the answers straight away and still making mistakes then please do them, otherwise move on to the next video example.

It will mark it and go green if you are right.

If you decide not to do this question, you will not be penalised this is your choice. It might go red but do not worry about that.
Question 4
4.

Solve the system of equation by elimination



Write your answer as an ordered pair (x, y)
Remember to check your answer with the other equation

Question 5
5.

Solve the system of equation by elimination



Write your answer as an ordered pair (x, y)
Remember to check your answer with the other equation

Example
Question 6
6.

Solve the system of equation by elimination



Write your answer as an ordered pair (x, y)
Remember to check your answer with the other equation

Question 7
7.

This question is no longer valid, I choose the wrong answer type and so it is hard to put your answers as fractions. I have kept it so that you can keep your answers. If I had deleted it, it would delete your work.
I have copied this question as Q8 so take an image of your answer if you want and put it in your answer for Q8


Solve the system of equation by elimination



Write your answer as an ordered pair (x, y)
Remember to check your answer with the other equation

Question 8
8.

The answer for this will be fractions so put your answers as improper fractions (simplified).


Solve the system of equation by elimination



Write your answer as an ordered pair (fraction, fraction)
Remember to check your answer with the other equation

Question 9
9.

Solve the system of equation by elimination



Write your answer as an ordered pair (x, y)
Remember to check your answer with the other equation

Hint: Rearrange first

The following question is extra. If you are not getting the answers straight away and still making mistakes then please do it.

It will mark it and go green if you are right.

If you decide not to do this question, you will not be penalised this is your choice. It might go red but do not worry about that.
Question 10
10.

Solve the system of equation by elimination



Write your answer as an ordered pair (x, y)
Remember to check your answer with the other equation
Write your answer to 1 d.p.
Hint: Rearrange first

The following question is extra but is more difficult,

you are more welcome to attempt it.

It will mark it and go green if you are right.
If you decide not to do this question, you will not be penalised this is your choice. It might go red but do not worry about that.
Question 11
11.

Solve the system of equation by elimination



Write your answer as an ordered pair (x, y)
Remember to check your answer with the other equation

example
Question 12
12.

Sophia’s school took a field trip. A total of 21 vehicles were needed for the trip. Some students took the bus (X), and some students car-pooled(Y). There were 30 people on each bus and 4 people in each car. 318 people altogether attended the trip.

Write a system of equations for this situation
write your equations in standard form separated by a comma and a space. e.g. 1x+2y=3, 4x+5y=7

Question 13
13.

Sophia’s school took a field trip. A total of 21 vehicles were needed for the trip. Some students took the bus (X), and some students car-pooled(Y). There were 30 people on each bus and 4 people in each car. 318 people altogether attended the trip.

How many buses and cars were needed for the trip?
Write in the following format
e.g. x buses, y cars

Question 14
14.

Ethan’s football team scored a total of 35 separate times this season, with a mix of touchdowns (x) and field goals (y). Each touchdown is worth 7 points, and each field goal is worth 3 points. The team scored a total of 193 points this season.

Write a system of equations for this situation
write your equations in standard form separated by a comma and a space.
e.g. 1x+2y=3, 4x+5y=7

Question 15
15.

Ethan’s football team scored a total of 35 separate times this season, with a mix of touchdowns (x) and field goals (y). Each touchdown is worth 7 points, and each field goal is worth 3 points. The team scored a total of 193 points this season.

how many touchdowns and field goals did they score?
Write in the following format
e.g. x touchdowns, y field goals

Question 16
16.

Reflect:


1. How well did you understand this lesson? Give yourself a rating out of 5


2. Could you explain this lesson to someone else?


3. Do you need extra help on this? Do you need to come to my extra help session?