Question 1
Draw the graph of each of the following linear equations in two variables: (i)x+y=4(ii)x−y=2(iii)y=3x(iv)3=2x+y
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Solution
(i)x+y=4 Putx=0,theny=4 Putx=4,theny=0 x04y40 The graph of this equation is constructed by joining the points (0,4)and(4,0)as follows: (ii)x−y=2 Putx=0,theny=−2 Putx=2,theny=0 x02y−20 (iii)y=3x Putx=0,theny=0 Putx=1,theny=3 x01y03 (iv)3=2x+y Putx=0theny=3 Putx=1theny=1 x01y31