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Lesson: Solving Systems of Linear Equations by Elimination

In this lesson, we will learn how to solve systems of linear equations using elimination.

Video

08:56

Sample Question Videos

01:22
03:47
03:01

Worksheet • 20 Questions • 9 Videos

Q1:

Solve the simultaneous equations π‘₯ βˆ’ 𝑦 = 8 and 3 π‘₯ βˆ’ 5 𝑦 + 1 0 = 0 .

  • A π‘₯ = 2 5 , 𝑦 = 1 7
  • B π‘₯ = βˆ’ 9 , 𝑦 = 1 7
  • C π‘₯ = 2 5 , 𝑦 = βˆ’ 1 7
  • D π‘₯ = 1 7 , 𝑦 = 2 5

Q2:

Use the elimination method to solve the simultaneous equations

  • A π‘₯ = 2 and 𝑦 = 2
  • B π‘₯ = 1 and 𝑦 = βˆ’ 1
  • C π‘₯ = βˆ’ 1 6 and 𝑦 = βˆ’ 1 4
  • D π‘₯ = 1 and 𝑦 = 1
  • E π‘₯ = βˆ’ 1 4 and 𝑦 = βˆ’ 1 6

Q3:

Use the elimination method to solve the simultaneous equations

  • A π‘₯ = 3 and 𝑦 = 5
  • B π‘₯ = 3 and 𝑦 = 2 5
  • C π‘₯ = 2 and 𝑦 = 1 0
  • D π‘₯ = 2 and 𝑦 = 6
  • E π‘₯ = 6 and 𝑦 = 8

Q4:

Solve the simultaneous equations π‘₯ + 𝑦 = 6 and 𝑦 βˆ’ 1 9 = 0 .

  • A π‘₯ = βˆ’ 1 3 , 𝑦 = 1 9
  • B π‘₯ = 1 9 , 𝑦 = βˆ’ 1 3
  • C π‘₯ = 1 3 , 𝑦 = βˆ’ 1 9
  • D π‘₯ = βˆ’ 1 9 , 𝑦 = 2 5
  • E π‘₯ = 2 5 , 𝑦 = βˆ’ 1 9

Q5:

Using elimination, solve the simultaneous equations

  • A π‘₯ = 9 , 𝑦 = 1
  • B π‘₯ = 1 9 , 𝑦 = 1 1
  • C π‘₯ = 9 , 𝑦 = βˆ’ 1
  • D π‘₯ = 1 7 , 𝑦 = 1
  • E π‘₯ = 1 7 , 𝑦 = 4

Q6:

Using elimination, solve the simultaneous equations

  • A π‘₯ = 1 , 𝑦 = 2
  • B π‘₯ = 2 , 𝑦 = 1
  • C π‘₯ = 1 , 𝑦 = βˆ’ 2
  • D π‘₯ = 2 , 𝑦 = 2
  • E π‘₯ = 2 , 𝑦 = 4

Q7:

By first multiplying the equations to make the coefficients of either π‘₯ or 𝑦 equal, use the elimination method to solve the simultaneous equations to find π‘₯ and 𝑦 .

  • A π‘₯ = 8 and 𝑦 = βˆ’ 4
  • B π‘₯ = 3 and 𝑦 = 4
  • C π‘₯ = βˆ’ 4 and 𝑦 = 4
  • D π‘₯ = 2 and 𝑦 = 2
  • E π‘₯ = 4 and 𝑦 = 3

Q8:

Use the elimination method to solve the given simultaneous equations.

  • A π‘₯ = 2 and 𝑦 = 3
  • B π‘₯ = 4 and 𝑦 = 6
  • C π‘₯ = 1 1 and 𝑦 = 3
  • D π‘₯ = 3 and 𝑦 = 1 1
  • E π‘₯ = 3 and 𝑦 = 2

Q9:

Use the elimination method to solve the simultaneous equations

  • A π‘₯ = 2 and 𝑦 = 2
  • B π‘₯ = 3 and 𝑦 = 4
  • C π‘₯ = 1 0 and 𝑦 = 1 8
  • D π‘₯ = 4 and 𝑦 = 4
  • E π‘₯ = 1 2 and 𝑦 = 2 2

Q10:

Using elimination, solve the simultaneous equations

  • A π‘₯ = 4 , 𝑦 = 4
  • B π‘₯ = 1 , 𝑦 = 6
  • C π‘₯ = 4 , 𝑦 = βˆ’ 8
  • D π‘₯ = 2 , 𝑦 = 4
  • E π‘₯ = 8 , 𝑦 = 1 2

Q11:

Using elimination, solve the simultaneous equations

  • A π‘₯ = 2 , 𝑦 = 2
  • B π‘₯ = 4 , 𝑦 = 2
  • C π‘₯ = 4 , 𝑦 = 6
  • D π‘₯ = 2 , 𝑦 = βˆ’ 4
  • E π‘₯ = 9 , 𝑦 = 9

Q12:

Using elimination, solve the simultaneous equations

  • A π‘₯ = 3 , 𝑦 = 3
  • B π‘₯ = 5 , 𝑦 = 5
  • C π‘₯ = 7 , 𝑦 = 2
  • D π‘₯ = 1 , 𝑦 = 3
  • E π‘₯ = 3 , 𝑦 = 1

Q13:

Use the elimination method to solve the simultaneous equations

  • A π‘₯ = 5 and 𝑦 = 4
  • B π‘₯ = 5 and 𝑦 = 3
  • C π‘₯ = 4 and 𝑦 = 5
  • D π‘₯ = 6 and 𝑦 = 4
  • E π‘₯ = 4 and 𝑦 = 6

Q14:

Use the elimination method to solve the simultaneous equations

  • A π‘₯ = 3 and 𝑦 = 1
  • B π‘₯ = 6 and 𝑦 = 2
  • C π‘₯ = 2 and 𝑦 = 6
  • D π‘₯ = 1 and 𝑦 = 3
  • E π‘₯ = 1 2 and 𝑦 = 1 8

Q15:

Solve the simultaneous equations π‘₯ 6 + 𝑦 6 = 1 and π‘₯ 6 + 𝑦 9 = 1 7 2 .

  • A π‘₯ = 1 4 1 , 𝑦 = βˆ’ 1 3 5
  • B π‘₯ = βˆ’ 1 3 5 , 𝑦 = 1 4 1
  • C π‘₯ = 1 4 7 , 𝑦 = 1 4 1
  • D π‘₯ = 1 4 1 , 𝑦 = 1 4 7

Q16:

Using elimination, solve the simultaneous equations

  • A π‘₯ = 1 , 𝑦 = 3
  • B π‘₯ = 4 , 𝑦 = 2
  • C π‘₯ = 1 , 𝑦 = 2
  • D π‘₯ = 4 , 𝑦 = 1
  • E π‘₯ = βˆ’ 1 , 𝑦 = 3

Q17:

Using elimination, solve the simultaneous equations

  • A π‘₯ = 2 , 𝑦 = 1
  • B π‘₯ = 5 , 𝑦 = βˆ’ 2
  • C π‘₯ = 1 , 𝑦 = 2
  • D π‘₯ = 2 , 𝑦 = βˆ’ 1
  • E π‘₯ = βˆ’ 2 , 𝑦 = 1

Q18:

Using elimination, solve the simultaneous equations

  • A π‘₯ = 4 , 𝑦 = 1
  • B π‘₯ = βˆ’ 4 , 𝑦 = βˆ’ 1
  • C π‘₯ = 4 , 𝑦 = 2
  • D π‘₯ = 1 2 , 𝑦 = βˆ’ 2 5
  • E π‘₯ = 2 , 𝑦 = 1

Q19:

Using elimination, solve the simultaneous equations

  • A π‘₯ = 1 , 𝑦 = 1
  • B π‘₯ = 1 , 𝑦 = 2
  • C π‘₯ = 2 , 𝑦 = 2
  • D π‘₯ = 2 , 𝑦 = 1
  • E π‘₯ = 4 , 𝑦 = 5

Q20:

Given that ( π‘₯ + 𝑦 , βˆ’ 9 ) = ( 5 , π‘₯ βˆ’ 𝑦 ) , what is ( 𝑦 , π‘₯ ) ?

  • A ( 7 , βˆ’ 2 )
  • B ( βˆ’ 2 , 7 )
  • C ( βˆ’ 9 , 5 )
  • D ( 5 , βˆ’ 9 )
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