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Table and graphical solution in standard form

Table and graphical solution in standard form

Secondary 2
6 marks
TGM Original Questions
  1. Copy and complete the following table of values of \(x\) and \(y\) for the equation \(4x-y=6\). On the grid provided below, using the numbered axis scales, use the values in the table to draw and label the graph of \(4x-y=6\) for \(-1\leq x\leq4\).[3]
    \(x\)\(0\)\(1\)\(2\)
    \(y\)
  2. On the same axes, draw and label the graph of \(2x+y=6\) for \(-1\leq x\leq4\).[2]
  3. Hence, solve the simultaneous equations \(4x-y=6\) and \(2x+y=6\) graphically.[1]

Solution:

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Answer:(a) \(y=-6,-2,2\), with graph as shown. (b) See the completed second line. (c) \(x=2,y=2\).

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