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Plot the graphs of the given linear equations. x−3y=0

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Answered by gk9995286
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Pair of Linear Equations in Two Variables

Algebraic Solution of a Pair of Linear Equations

Draw the graphs of x + 3y +...

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Draw the graphs of x+3y+3=0 and 3x−2y+6=0. Plot only three points per line and mark the intersection point.

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ANSWER

x+3y+3=0

⟹x=−3−3y

Let, y=0, then x=−3−3(0)=−3

Similarly, when y=−1,x=0 and when y=1,x=−6

∴ the coordinates are (−3,0),(0,−1),(−6,1)

Now,

3x−2y+6=0

⟹2y=3x+6

⟹y=

2

3x+6

Let, x=0, y=3

Similarly, when x=−2,y=0, and x=2,y=6

∴ the coordinates are (0,3),(−2,0),(2,6)

∴ the intersecting point is marked with the dark black dot

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