Graphing Linear Equations and Solving Simultaneous Equations

Graphing Linear Equations and Solving Simultaneous Equations

Secondary 2
  1. Complete the table for the following equations.
    \(\begin{align} & 2y=-x+3 \\ & -y+2x=1 \end{align}\)
    Table for \(2y=-x+3\):
    \(x\)\(-1\)\(0\)\(2\)
    \(y\)\(1.5\)\(0.5\)
    Table for \(-y+2x=1\):
    \(x\)\(-1\)\(0\)\(2\)
    \(y\)\(-3\)\(3\)
  2. Draw the 2 graphs in the grid below.
    List item image
  3. Hence, find the solution to the pair of simultaneous equations.
    \(\begin{align} & 2y=-x+3 \\ & -y+2x=1 \end{align}\)

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Answer:(a) missing values \(2\) and \(-1\) (b) straight lines through the tabulated points (c) \(x=1,\ y=1\)

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