Draw the graph of the equation 3x+y = 7 y =0 and x= 7 solution of this equation from the graph.Shade the portion bounded by the line and both the axes.
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x+3y=6⇒ when x=0y=2⇒(0,2)
when y=0x=6⇒(6,0)
2x−3y=12⇒x=0y=−4⇒(0,−4)
y=0x=6⇒(6,0)
Are of shaded part =21×4×6
=12 units.
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