Lesson Worksheet: Representing a System of Two Equations in Matrix Form Mathematics

In this worksheet, we will practice representing a system of two equations as a matrix equation.

Q1:

Express the simultaneous equations 3𝑎+2𝑏=13,2𝑎+3𝑏=7 as a matrix equation.

  • A2332𝑎𝑏=137
  • B3223𝑎𝑏=137
  • C3223𝑎𝑏=713
  • D3322𝑎𝑏=713
  • E3322𝑎𝑏=137

Q2:

Express the simultaneous equations 3𝑥+2𝑦=12,3𝑥+𝑦=7 as a matrix equation.

  • A3321𝑥𝑦=712
  • B3231𝑥𝑦=712
  • C3213𝑥𝑦=127
  • D3231𝑥𝑦=127
  • E3321𝑥𝑦=127

Q3:

Express the simultaneous equations 4𝑥2𝑦=0,3𝑦+5𝑥=11 as a matrix equation.

  • A2435𝑥𝑦=110
  • B4253𝑥𝑦=011
  • C4253𝑥𝑦=110
  • D4320𝑥𝑦=011
  • E4320𝑥𝑦=110

Q4:

Express the following simultaneous equations as a matrix equation: 2𝑎3𝑏=4,5𝑎+6𝑏=7.

  • A2365𝑏𝑎=47
  • B5623𝑎𝑏=74
  • C7243𝑎𝑏=65
  • D3265𝑎𝑏=74
  • E6523𝑏𝑎=74

Q5:

Write down the set of simultaneous equations that could be solved using the given matrix equation. 3324𝑎𝑏=1012

  • A3𝑎+3𝑏=104𝑎+2𝑏=12
  • B3𝑎+3𝑏=102𝑎+4𝑏=12
  • C3𝑎+2𝑏=103𝑎+4𝑏=12
  • D3𝑎+2𝑏=123𝑎+4𝑏=10
  • E3𝑎+3𝑏=122𝑎+4𝑏=10

Q6:

Write down the set of simultaneous equations that could be solved using the given matrix equation. 11394𝑥𝑦=813

  • A11𝑥+9𝑦=83𝑥+4𝑦=13
  • B11𝑥3𝑦=89𝑥+4𝑦=13
  • C11𝑥3𝑦=139𝑥+4𝑦=8
  • D11𝑥+9𝑦=133𝑥+4𝑦=8
  • E3𝑥+11𝑦=84𝑥+9𝑦=13

Q7:

Express the simultaneous equations 13𝑥23𝑦=53,34𝑦+14𝑥=74 as a matrix equation.

  • A13231434𝑥𝑦=5374
  • B13233414𝑥𝑦=5374
  • C13342314𝑥𝑦=7453
  • D13143423𝑥𝑦=7453
  • E23133414𝑥𝑦=5374

Q8:

Which of the following systems of equations can be represented by the matrix form 0234𝑥𝑦=56?

  • A2𝑦=5,2𝑦=5
  • B2𝑦=5,3𝑥4𝑦=6
  • C2𝑦=5,3𝑥4𝑦=6
  • D2𝑦=5,3𝑥4𝑦=6
  • E2𝑦=5,3𝑥4𝑦=6

Q9:

Express the simultaneous equations 3𝑥24=8𝑦𝑥=3𝑦 as a matrix equation.

  • A3811𝑥𝑦=243
  • B3181𝑥𝑦=243
  • C3811𝑥𝑦=243
  • D3181𝑥𝑦=324
  • E3811𝑥𝑦=324

Q10:

Which of the following systems of equations can be represented by the matrix form 11234𝑥𝑦=56?

  • A11𝑦=5+2𝑥,4𝑥+3𝑦=6
  • B4𝑦=5+2𝑥,11𝑥+3𝑦=6
  • C4𝑦=5+3𝑥,11𝑥+2𝑦=6
  • D11𝑦=5+3𝑥,4𝑥+2𝑦=6
  • E11𝑥+2𝑦=5,4𝑦=6+3𝑥

This lesson includes 15 additional questions and 108 additional question variations for subscribers.

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