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Question

Solve the following pairs of equations graphically.
3x + y = 12
x - 3y = -6
Determine the co-ordinate of the vertices of the triangle so formed by the Y- axis line and X - axis , Also find its area.

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Solution

3x+y=kx=0,y=k,y=0,x=4
x3y=6x=0,y=2,y=0,x=6

3x+y=k
3x+3y=18
_____________
+++

10y=30 3x+3=k
y=3 3x=9
x=3

Area (3,3)(4,0)(6,0)
=12∣ ∣331401601∣ ∣
12(3(0)4(30)6(30)]
12[3k18]=272 square Unit





























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