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:

Which of the following shows the set of simultaneous equations that could be solved using the matrix equation 4237𝑝𝑞=414?

  • A4𝑝=4+3𝑞,2𝑝+14=7𝑞
  • B4𝑝=42𝑞,3𝑝+14=7𝑞
  • C4𝑝=4+2𝑞,3𝑝14=7𝑞
  • D4𝑝=43𝑞,2𝑝14=7𝑞
  • E2𝑝=4+4𝑞,7𝑝14=3𝑞

Q2:

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

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

Q3:

Write down the set of simultaneous equations that could be solved using the given matrix equation. 3512𝑥𝑦=234

  • A3𝑦+5𝑥=23𝑦+2𝑥=4
  • B3𝑥+5𝑦=23𝑥+2𝑦=4
  • C3𝑥𝑦=235𝑥+2𝑦=4
  • D23𝑥4𝑦=34𝑥+17𝑦=1
  • E3𝑥+5𝑥=23𝑦+2𝑦=4

Q4:

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

Q5:

Express the simultaneous equations 𝑛+1=2𝑚,𝑛=𝑚+2 as a matrix equation.

  • A2111𝑚𝑛=12
  • B2111𝑚𝑛=12
  • C2111𝑚𝑛=21
  • D2111𝑚𝑛=21
  • E2111𝑚𝑛=12

Q6:

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

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

Q7:

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

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

Q8:

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

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

Q9:

Express the simultaneous equations 7𝑥3𝑦=5,5𝑥2𝑦=11 as a matrix equation.

  • A7532𝑥𝑦=511
  • B7352𝑥𝑦=115
  • C3725𝑥𝑦=511
  • D7352𝑥𝑦=511
  • E7532𝑥𝑦=115

Q10:

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

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

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