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Solving Simultaneous Linear Equations using Graphical Method

Solving Simultaneous Linear Equations using Graphical Method

TGM Original
  1. Complete the following tables.
    1. \(y=-2x+4\)
      \(x\)\(1\)\(3\)\(5\)
      \(y\)\(2\)\(-2\)
    2. \(2x-y=12\)
      \(x\)\(3\)\(4\)\(5\)
      \(y\)\(-6\)\(-2\)
  2. Draw the \(2\) graphs on the grid given below.
    List item image

Hence, solve the simultaneous equations \(y=-2x+4\) and \(2x-y=12\).

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Answer:(a)(i) \(-6\) (ii) \(-4\) (b) the graphs intersect at \((4,-4)\), so \(x=4,\ y=-4\)

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