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Lesson details

Key learning points

  1. In this lesson, we will determine how to eliminate a variable by adding or subtracting one equation to or from the other.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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5 Questions

Q1.
If x=3 and 2x+5y=41, what is the value of y?
3
5
Correct answer: 7
7.8
Q2.
7x+2y=24 AND 4x+2y=18. Find the value of 3x
2
5
Correct answer: 6
7
Q3.
7x+2y=24 AND 4x + 2y = 18. Find the value of y
2
Correct answer: 5
6
7
Q4.
9x +6y=168 AND 9x +4y=160. Solve
Others
x=15 and y = 18
Correct answer: x=16 and y=4
x=9 and y=6
y=16 and x=4
Q5.
4x +8y=116 AND 4x +4y=68. Solve
x=12 and y=5
x=4 and y = 8
Correct answer: x=5 and y=12
x=8 and y = 4

5 Questions

Q1.
3x+2y=5 AND 3x-2y=7. If I add these two equations together, which unknown will be eliminated?
both
neither
x
Correct answer: y
Q2.
3x+2y=5 AND 3x-2y=7. If I subtract the two equations, which unknown will be eliminated?
both
neither
Correct answer: x
y
Q3.
3x-5y=17 AND 2x-5y=10. Subtract the first equation from the second equation.
5x=27
x-10y=7
Correct answer: x=7
y=7
Q4.
2x-5y=10 AND 3x-5y=17. Add the two equations together.
10y=27
Correct answer: 5x-10y=27
5x=27
Q5.
3x-5y=17 AND 7x-5y=20. How can I eliminate y from these simultaneous equations?
add
Correct answer: subtract
you can't eliminate y

Lesson appears in

UnitMaths / Solving linear simultaneous equations algebraically