Stimulates equations

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  • Created by: LauraJUK
  • Created on: 05-06-14 16:59

Card 1

Example

Solve these simultaneous equations and find the values of x and y.

  • Equation 1: 2x + y = 7
  • Equation 2: 3x - y = 8

Add the two equations to eliminate the ys:

  • 2x + y = 7
  • 3x - y = 8
  • 5x = 15
  • x = 3
  • Now you can put x = 3 in either of the equations.
  • Substitute x = 3 into the equation 2x + y = 7:
  • 6 + y = 7
  • y = 1

So the answers are x = 3 and y = 1

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Sometimes

Sometimes you will need to multiply one of the equations before you can add or subtract.

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Card 3

  • Solve the two equations:
  • Equation 1: 2a - 5b = 11
  • Equation 2: 3a + 2b = 7
  • 4a - 10b = 22 (Multiply by 2)
  • 15a + 10b = 35 (Multiply by 5)
  • ----------------------
  • 19a = 57 (Adding)
  • a = 3
  • Put a = 3 into the equation 3a + 2b = 7:
  • 9 + 2b = 7
  • 2b = -2
  • b = -1

So the answers are a = 3 and b = -1.

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Card 4

Solve the simultaneous equations:

Equation 1: y - 2x = 1

Equation 2: 2y - 3x = 5

Rearranging Equation 1, we get y = 1 + 2x

We can replace the 'y' in equation 2 by substituting it with 1 + 2x

Equation 2 becomes: 2(1 + 2x) - 3x = 5

2 + 4x - 3x = 5

2 + x = 5

x = 3

Substituting x = 3 into Equation 1 gives us y - 6 = 1, so y = 7.

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On graphs

(http://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/simultaneoushirev2.shtml)

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Good luck

Good luck revising

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